4. Calculate the proportion of the side lengths between the two triangles. To use the SAS theorem, the sides of the triangles must be proportional to each other. To calculate this, simply use the formula AB/DE = AC/DF. Example: AB/DE = AC/DF; 4/2 = 8/4; 2 = 2. The proportions of the two triangles are equal. 5.Using the triangle similarity theorems, the given pairs of triangles can be proven to be similar:. 1. are similar by the SSS similarity theorem. 2. are similar by the AA similarity theorem.. 3. are similar by SAS similarity theorem.. 4. are similar by the AA similarity theorem.. 5. are similar by the SAS similarity theorem.. 6. are similar by the …Similar Figures. 9.4K plays. 7th. Proving Triangles Similar & Similar Triangles quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! If two polygons are similar, then the ratio of their areas is equal to the squares of the ratios of their corresponding lengths. Theorem 8.3: Angle-Angle (AA) Similarity ∼Theorem. If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. Theorem 8.4: Side-Side-Side (SSS) Similarity Theorem.G.4.3 Use coordinate geometry to prove properties of polygons such as regularity, congruence, and similarity; G.4.4 Explain the relationship between scale factors and their inverses and to apply scale factors to scale figures and drawings; G.6.3 Use properties of congruent and similar triangles, quadrilaterals, and other polygons to solve problems; Angle-Angle (AA): When two different sized triangles have two angles that are congruent, the triangles are similar. Notice in the example below, if we have the value of two angles in a triangle, we can …The SSS theorem requires that 3 pairs of sides that are proportional. In pair 1, all 3 sides have a ratio of $$ \frac{1}{2} $$ so the triangles are similar. In pair 2, two pairs of sides have a ratio of $$ \frac{1}{2}$$, but the ratio of $$ \frac{HZ}{HJ} $$ is the problem.. First off, you need to realize that ZJ is only part of the triangle side, and that HJ = 6 + 2 =8 .1) Angle-Angle (AA) Rule. It states that if two angles in one triangle are equal to two angles of the other triangle, then the two triangles are similar. From the above figure with AA rule, we can write. AB/EF = BC/FG = AC/EG and ∠B ≅ ∠F. Thus, to prove two triangles are similar, it is sufficient to show that two angles of one triangle ...9. In the picture shown angle A = angle D and side AB ~ side DE. What more needs to be known to prove the triangles are similar using AAA. A) side BC ~ side EF. B) side AC = side DE. C) angle B = angle C. D) angle B = angle E. 10. In the picture shown side AC ~ side DF and side AB ~ side DE.HW - 8.2 & 8.3 Similarity - AA, SAS, SSS quiz for 8th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Similar Figures 1.2K plays 7th 13 Qs . Similar Figures 3.7K plays 6th - 8th ... How many pairs of congruent angles in 2 triangles are needed to prove the 2 triangles are similar? 2 or 3. 1. 0. only 3 ...Proving Triangles Similar Quiz 1 quiz for 8th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Similar Figures 1.2K plays 7th 13 ... Proving Similar Triangles quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Similar Figures 1.6K plays 8th - 9th 19 Qs . Similar Triangles 4.6K plays 9th - 12th 16 Qs . Proportion Word Problems 3.2K plays 4th - …The two rectangles are similar. Which is the correct proportion for corresponding sides? (Small Rectangle) 4m and 12m (Large Rectangle) 8m and 24m Trig Ratio Estimations (Quiz: V2) Trigonometric Ratios (Right Triangle Context) Right Triangle Solver: Formative Assessment. Right Triangle Trig: Solving for Sides. Right Triangle Trig: Solving for Sides (2) Finding Acute Angles of Right Triangles. Special Right Triangles: Basic Questions.High school geometry 9 units · 90 skills. Unit 1 Performing transformations. Unit 2 Transformation properties and proofs. Unit 3 Congruence. Unit 4 Similarity. Unit 5 Right triangles & trigonometry. Unit 6 Analytic geometry. Unit 7 Conic sections. Unit 8 Circles. Example: these two triangles are similar: If two of their angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°. In this case the missing angle is 180° − (72° + 35°) = 73°. So AA could also be called AAA (because when two angles are equal, all three angles must be equal).Lesson #3 - Similar Figures. Lesson #4 - Proving Triangles Similar. Lesson #1 - Ratios and Proportions. Lesson #2 - More Rates and Proportions. Unit 6 - Points of Concurrency. Quiz Review KEY. ... Circles Quiz Review KEY. Lesson #6 - Inscribed Angles. Unit 9 - Polygons and Special Quadrilaterals.1 pt. Triangle PQR is similar to triangle DEF as shown. Which describes the relationship between the corresponding sides of the two triangles? Multiple Choice. 15 minutes. 1 pt. Decide whether the triangles are similar. If so, write a similarity statement. ΔABC ~ ΔFED. Similar Triangles Pre-test quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... What similarity theorem would prove that these triangles are similar? SAS∼ ... Similar Figures 1.6K plays 8th - 9th 19 Qs . Similar Triangles 4.6K plays 9th - 12th 16 Qs . Proportion Word Problems 3.2K playsUnderstand the different theorems to prove similar triangles using formulas and derivations. Grade. KG. 1st. 2nd. 3rd. 4th. 5th. 6th. 7th. 8th. Algebra 1. Algebra 2. Geometry. Pre-Calculus. Calculus. Pricing. ... This relation/proportionality of corresponding sides can be used to find the length of the missing side of a figure, given a similar ...Proving Triangle Similarity by SSS and SAS. Section 8.4: Proportionality Theorems. Page 454: Chapter Review. ... Similar Right Triangles. Page 486: Quiz. Section 9.4: The Tangent Ratio. Section 9.5: The Sine and Cosine Ratios. ... Three-Dimensional Figures. Page 624: Quiz. Section 11.5: Volumes of Prisms and Cylinders. Section 11.6:7-3: Triangle Similarity QUIZ 1: 7-1 & 7-2 I can use the triangle similarity theorems to determine if two triangles are similar. I can use proportions in similar triangles to solve for missing sides. I can set up and solve problems using properties of similar triangles. I can prove triangles are congruent in a two-column proof. Free worksheet at https://www.kutasoftware.com/freeige.htmlGo to ️ https://maemap.com/math/geometry/ ⬅️ for more Geometry information!Please support me: ?...7.1-7.3 Quiz Review quiz for KG students. ... Similar Figures 1.5K plays 8th - 9th 20 Qs . Similar Figures 9.4K plays 7th 15 Qs . Similar Figures 3.1K plays ... You know the triangles are similar, find the missing side length. 5 …Quiz 6 1 Similar Figures Proving Triangles Similar Answer Key. December 3, 2023 Dwayne Morise. Question: 75, 105 Answer: The measures of two supplementary angles are in the ratio 5:7. What is the measure of both angles? ===== Question: 24, 28, 36 Answer: The lengths of the sides of a triangle are in the extended ratio 6:7:9. ...0:03 Congruent & Similar Figures; 1:31 Proving ... the properties of similar figures. Since the two triangles are similar, it must be the case that the lengths of their sides are proportional, so ...30 3 6 = 50 x → 30x = 1800 x = 60 The longer length is 60 feet. Example 7.2.5. Suppose we have the proportion 2 5 = 14 35. Solution. First of all, we know this is a true proportion because you would multiply by 7 7 to get 14 35. Using the first three corollaries: 2 14 = 5 35. 35 5 = 14 2. 5 2 = 35 14.Our development team has been informed of the issue. This Similar Triangles Unit Bundle contains guided notes, homework assignments, two quizzes, a study guide and a unit test that cover the following topics:• …How do we know when triangles are similar? Their corresponding angles have to be congruent. 2. 5. 4. 1. 2.5. 2. 4 ÷ 2 = 2. 2 ÷ 1 = 2. ... There are three ways to prove trangles similar. There are three ways to prove trangles similar. AA. There are three ways to prove trangles similar. ... Created with ...REF: 7-3 Proving Triangles Similar 12.ANS: 80 ft REF: 7-3 Proving Triangles Similar 13.ANS: 48 REF: 7-4 Similarity in Right Triangles 14.ANS: REF: 7-4 Similarity in Right Triangles 15.ANS: REF: 7-4 Similarity in Right Triangles 16.ANS: 12 REF: 7-5 Proportions in Triangles 17.ANS: 9 REF: 7-5 Proportions in Triangles 18.ANS: 5 REF: 7-5 ...Proving Triangles Similar Quiz 1. Jennifer Merrigan. 4. plays. 14 questions. Copy & Edit. Live Session. Assign. Show Answers. See Preview. Multiple Choice. 15 minutes. 1 pt. If two …Properties of similar triangles are given below, Similar triangles have the same shape but different sizes. In similar triangles, corresponding angles are equal. Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides.LESSON. 19 Qs. Similar Triangles. 427 plays. 7th - 8th. triangle similarity quiz for 6th grade students. Find other quizzes for Mathematics and more on Quizizz for free! Trig Ratio Estimations (Quiz: V2) Trigonometric Ratios (Right Triangle Context) Right Triangle Solver: Formative Assessment. Right Triangle Trig: Solving for Sides. Right Triangle Trig: Solving for Sides (2) Finding Acute Angles of Right Triangles. Special Right Triangles: Basic Questions. Proving Similar Triangles quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Similar Figures 1.6K plays 8th - 9th 19 Qs . Similar Triangles 4.6K plays 9th - 12th 16 Qs . Proportion Word Problems 3.2K plays 4th - …Congruent Figures worksheets offer a valuable resource for math teachers to help students discover and explore the fascinating world of geometry. Download and print these free, high-quality materials to enhance your lessons and inspire learning! Congruent Figures. Congruent Figures. 6 Q. 6th - 8th. Congruent Figures and Translations.May 26, 2021 · Angle-Angle (AA): When two different sized triangles have two angles that are congruent, the triangles are similar. Notice in the example below, if we have the value of two angles in a triangle, we can always find the third missing value which will also be equal. Side-Side-Side (SSS): When two different sized triangles have three corresponding ... Proving triangles congruent by SSS, SAS, ASA, and AAS Proofs involving isosceles triangles Lesson 5.6: Proving Triangle Congruence by ASA and AAS FED=4,6,5. 1. Similar. 2. Side-Side-Side (SSS) Similarity Property. 45 and 40 degree angles, 100 and 45 degree angles, differently placed. Not similar or not necessarily similar. Study with Quizlet and memorize flashcards containing terms like ABC=8,10,16 EDF=4,5,8, XYZ ^ MYN, STU=15,6 RQP=10,4 and more.Study with Quizlet and memorize flashcards containing terms like A model is made of a car. The car is 9 feet long and the model is 6 inches long. Enter the ratio of the length of the car to the length of the model., Are the triangles similar? If they are, write a similarity statement and give the similarity ratio. In RST,RS=10,RT=15, and m∠R=32. In …Proving equiangular triangles are similar: The sum of the interior angles of any triangle is \ (\text {180}\)°. If we know that two pairs of angles are equal, then the remaining angle in each triangle must also be equal. Therefore the two triangles are similar. In other words, to prove that two triangles are equiangular, we need only show that ...Watch on. Similar triangles are the same shape but not the same size. Remember that if two triangles are both exactly the same shape, and exactly the same size, then they are identical and we say they’re “congruent.”. In a pair of similar triangles, all three corresponding angle pairs are congruent and corresponding side pairs are ...19 Qs. Similar Triangles. 421 plays. 7th - 8th. Unit 6: Similar Triangles Review quiz for 8th grade students. Find other quizzes for Mathematics and more on Quizizz for free! Similar Figures. 9.4K plays. 7th. Proving Triangles Similar & Similar Triangles quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! Checkpoint Quiz 1. Section 2-4: Reasoning in Algebra. Section 2-5: Proving Angles Congruent. Page 117: Chapter Review. ... Proving Triangles Similar. Section 7-4: Similarity in Right Triangles. Section 7-5: Proportions in Triangles. ... Perimeters and Areas of Similar Figures. Section 10-5: Trigonometry and Area. Section 10-6: Circles and Arcs.Monohybrid Crosses Unit 3 | 6th Grade Sentences And Sentence Fragments | Study Skills Word Search | Reading Omprehension | Comprehension And Vocabulary | Aa Tracing | Decision Making | Learn To Develop With Microsoft Developer Network Msdn | Quiz 6 1 Similar Figures Proving Triangles Similar | Christmas Word Problems 18 | Key World | …Learn what it means for two figures to be similar, and how to determine whether two figures are similar or not. Use this concept to prove geometric theorems and solve some problems with polygons. Definitions of similarity Angles. Triangles. Medians of triangles. Altitudes of triangles. Angle bisectors. Circles. Free Geometry worksheets created with Infinite Geometry. Printable in convenient PDF format.Geometry (FL B.E.S.T.) 9 units · 83 skills. Unit 1 Lines, angles, and geometric figures. Unit 2 Performing transformations. Unit 3 Transformation properties and proofs. Unit 4 Triangles and congruence. Unit 5 Relationships in triangles and quadrilaterals. Unit 6 Similarity. Unit 7 Right triangles & trigonometry. Unit 8 Circles. Proving Triangles Similar--7-3 quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Similar Figures 1.2K plays 7th 13 Qs . Similar Figures 3.7K plays 6th - 8th 10 Qs . Proportion Word Problems 70 plays 6th Build your own quiz. Create a new quiz. Browse from millions of quizzes. QUIZ . Proving ...in a plane, a transformation in which each point on the. image. lies on the same line as the corresponding point. on the pre-image and a fixed point called the. center. of. dilation, and results in an enlargement or reduction of a. figure. similarity. FlexBook Platform®, FlexBook®, FlexLet® and FlexCard™ are registered trademarks of CK-12 Foundation.Angles. Triangles. Medians of triangles. Altitudes of triangles. Angle bisectors. Circles. Free Geometry worksheets created with Infinite Geometry. Printable in convenient PDF format.Similar Triangles Review for Quiz. 18 terms. Images. L_Vandiver Teacher. Similar Figures Quiz. 10 terms. BRINGTHESUNSHINE. Similar Triangles Quiz. 6 terms. HannahLara15. Other sets by this creator. CJ and Public Policy Final Exam. 2 terms. bc2002. Last Portion of Gun Violence Material. 231 terms. bc2002.Practice (Not Required) Quiz 6 1similar Figures Proving Triangles Similar - Displaying top 8 worksheets found for this concept.Some of the worksheets for this concept are Similar triangles date period, Practice with congruent and similar triangles, Name period gl unit 5 similarity, Name geometry unit 3 note packet similar triangles, Unit 5 syllabus similarity,If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. Side-Side-Side Similarity Theorem If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar. Proving triangles congruent by SSS, SAS, ASA, and AAS Proofs involving isosceles triangles Lesson 5.6: Proving Triangle Congruence by ASA and AAS Example \(\PageIndex{8}\) A tree casts a shadow 12 feet long at the same time a 6 foot man casts a shadow 4 feet long. What is the height of the tree?Prove similar triangles. Given right triangle and altitude. Squares . Prove congruent triangles. Given equal segments. Prove right triangle. Given equal segments. Find perimeter. Given side. Find area. Given perimeter. Rectangles . Prove equal segments. Given equal segments. Find area. Given sides and area. Find sides. Given perimeter.For similar triangles A B C and X Y Z shown below: X Y = k ( A B) Y Z = k ( B C) X Z = k ( A C) X Y A B = Y Z B C = X Z A C = k. A B C X Y Z. To calculate a missing side length, we: Write a proportional relationship using two pairs of corresponding sides. Plug in known side lengths. We need to know 3. Proving Triangle Similar quiz for 8th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Similar Figures 3.1K plays 7th - 8th . 13 ... Similar Triangles Pre-test quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... What similarity theorem would prove that these triangles are similar? SAS∼ ... Similar Figures 1.6K plays 8th - 9th 19 Qs . Similar Triangles 4.6K plays 9th - 12th 16 Qs . Proportion Word Problems 3.2K playsAngle-Angle (AA): When two different sized triangles have two angles that are congruent, the triangles are similar. Notice in the example below, if we have the value of two angles in a triangle, we can …Use congruency criteria for triangles to solve problems and to prove relationships in geometric figures. Congruent triangles. 1. SSS and SAS Theorems 2. ASA and AAS Theorems 3. ... G.GSR.6 Examine side ratios of similar triangles; use the relationship between right triangles to develop an understanding of sine, ...Prove similar triangles. Given right triangle and altitude. Squares . Prove congruent triangles. Given equal segments. Prove right triangle. Given equal segments. Find perimeter. Given side. Find area. Given perimeter. Rectangles . Prove equal segments. Given equal segments. Find area. Given sides and area. Find sides. Given perimeter.Test prep ; Awards. Student awards ; Assessment; Analytics; Takeoff; Inspiration; Learning All Learning. Math; ... Side lengths and angle measures in similar figures 2. ... Lesson 8.3: Proving Triangle Similarity by SSS and SAS 1. Similarity rules for triangles ...REF: 7-3 Proving Triangles Similar 12.ANS: 80 ft REF: 7-3 Proving Triangles Similar 13.ANS: 48 REF: 7-4 Similarity in Right Triangles 14.ANS: REF: 7-4 Similarity in Right Triangles 15.ANS: REF: 7-4 Similarity in Right Triangles 16.ANS: 12 REF: 7-5 Proportions in Triangles 17.ANS: 9 REF: 7-5 Proportions in Triangles 18.ANS: 5 REF: 7-5 ...Similar figures have the same shape, but they do not have the same size. If a figure or segment is congruent then it is the same in every respect. Similar figures are therefore not congruent. These classifications help us better understand the geometric systems. If we have two congruent triangles, all of their angles are the same too.Practice (Not Required) Quiz 6 1similar Figures Proving Triangles Similar - Displaying top 8 worksheets found for this concept.Some of the worksheets for this concept are Similar triangles date period, Practice with congruent and similar triangles, Name period gl unit 5 similarity, Name geometry unit 3 note packet similar triangles, Unit 5 syllabus similarity,4. Calculate the proportion of the side lengths between the two triangles. To use the SAS theorem, the sides of the triangles must be proportional to each other. To calculate this, simply use the formula AB/DE = AC/DF. Example: AB/DE = AC/DF; 4/2 = 8/4; 2 = 2. The proportions of the two triangles are equal. 5.LESSON. 19 Qs. Similar Triangles. 427 plays. 7th - 8th. triangle similarity quiz for 6th grade students. Find other quizzes for Mathematics and more on Quizizz for free! Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.Course: High school geometry > Unit 4. Lesson 3: Solving similar triangles. Solving similar triangles. Solve similar triangles (basic) Solving similar triangles: same side plays different roles. Solve similar triangles (advanced) Math …Similar figures have the same shape, but they do not have the same size. If a figure or segment is congruent then it is the same in every respect. Similar figures are therefore not congruent. These classifications help us better understand the geometric systems. If we have two congruent triangles, all of their angles are the same too.In triangle RST, XY is parallel to RS. If TX=3, XR=TY, and YS=6, find XR. three times the square root of two. Given Angle 1=Angle 2, find x. 6. Find x. 4. Study with Quizlet and memorize flashcards containing terms like The angles of similar triangles are equal., Similar triangles are congruent., If three corresponding sides of one triangle are ...7-3: Triangle Similarity QUIZ 1: 7-1 & 7-2 I can use the triangle similarity theorems to determine if two triangles are similar. I can use proportions in similar triangles to solve for missing sides. I can set up and solve problems using properties of similar triangles. I can prove triangles are congruent in a two-column proof. 1) Angle-Angle (AA) Rule. It states that if two angles in one triangle are equal to two angles of the other triangle, then the two triangles are similar. From the above figure with AA rule, we can write. AB/EF = BC/FG = AC/EG and ∠B ≅ ∠F. Thus, to prove two triangles are similar, it is sufficient to show that two angles of one triangle ...Description. This Similar Triangles Unit Bundle contains guided notes, homework assignments, two quizzes, a study guide and a unit test that cover the following topics: • Ratio and Proportion: Includes extended ratio problems. • Similar Figures: Identifying scale factors, and solving problems with similar figures using scale factors and ... Theorem 8.2: Areas of Similar ∼Polygons. If two polygons are similar, then the ratio of their areas is equal to the squares of the ratios of their corresponding lengths. Theorem 8.3: Angle-Angle (AA) Similarity ∼Theorem. If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. It is just a number that represents how the similar figures sides relate to the original figure. If K > 1 then the similar figure is scaled up. That means it is bigger. For example, if K = 5 then each side of the similar figure will be 5 times the original figure. If K < 1 (a fraction), it means that the similar figure is scaled down.
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0:03 Congruent & Similar Figures; 1:31 Proving ... the properties of similar figures. Since the two triangles are similar, it must be the case that the lengths of their sides are proportional, so ...Exercise 28. Exercise 29. Exercise 30. Exercise 31. Exercise 32. Exercise 33. Exercise 34. Find step-by-step solutions and answers to Big Ideas Math Geometry: A Common Core Curriculum - 9781608408399, as well as thousands of textbooks so you can move forward with confidence. Feb 6, 2023 · Adopted from All Things Algebra by Gina Wilson. Lesson 6.3 Proving Triangles are Similar (Part 2)(AA~, SSS~, SAS~)Unit 6 Similar TrianglesPart 1: https://you... G.2.1 Identify necessary and sufficient conditions for congruence and similarity in triangles, and use these conditions in proofs; Need a tutor? Click this link and get your first session free! Packet. g4.2_packet.pdf: File Size: 121 kb: File Type: pdf: Download File. Practice Solutions. g4.2_practice_solutions.pdf:High school geometry 9 units · 90 skills. Unit 1 Performing transformations. Unit 2 Transformation properties and proofs. Unit 3 Congruence. Unit 4 Similarity. Unit 5 Right triangles & trigonometry. Unit 6 Analytic geometry. Unit 7 Conic sections. Unit 8 Circles. Example: these two triangles are similar: If two of their angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°. In this case the missing angle is 180° − (72° + 35°) = 73°. So AA could also be called AAA (because when two angles are equal, all three angles must be equal).Watch on. Similar triangles are the same shape but not the same size. Remember that if two triangles are both exactly the same shape, and exactly the same size, then they are identical and we say they’re “congruent.”. In a pair of similar triangles, all three corresponding angle pairs are congruent and corresponding side pairs are ...If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. Side-Side-Side Similarity Theorem If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar. Homework Sheets. Using similarity, you are asked to find missing sides and angles. Homework 1 - If the angles fit they are congruent, if they don't they aren't. Homework 2 - These triangles are similar and the similarity statement is true. Homework 3 - ΔDEF ∼ ΔABC means that ΔDEF is similar to ΔABC. And the sides of similar triangles are ...Feb 6, 2023 · Adopted from All Things Algebra by Gina Wilson. Lesson 6.3 Proving Triangles are Similar (Part 2)(AA~, SSS~, SAS~)Unit 6 Similar TrianglesPart 1: https://you... Geometry part 1 quiz 6. 4.0 (1 review) Which of the following pairs of triangles can be proven similar through SSS similarity? Click the card to flip 👆. DF=8, FG=11, GD=10. AB=2, BC=2.75, CA=2.5. Click the card to flip 👆. 1 / 20. .
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