Similarity And Congruence
Practice congruence, similarity, and proportional reasoning in geometric figures.
7 questions
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Heather draws two regular pentagons. Which of the following is NOT always true?
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Pentagons ABCDE and FGHIJ are similar. The ratio of each side of pentagon ABCDE to its corresponding side of pentagon FGHIJ is 4:1. If AB and FG are corresponding sides, and the length of AB is 4x + 4, what is the length of FG?
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Quadrilaterals ABCD and EFGH are similar. If the perimeter of quadrilateral ABCD is equal to 4y 2 , what is the perimeter of quadrilateral EFGH?
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Polygon ABCDEF is similar to polygon GHIJKL. If side AB is 12x + 6x and side GH is 8x + 4x, and these sides are corresponding sides, what is the ratio of the perimeter of polygon GHIJKL to the perimeter of polygon ABCDEF?
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Regular polygon ABCDE is similar to regular polygon TUVWX. Side AB is 5x – 1, and side TU is 4x – 2. These sides are corresponding sides. If the ratio of the perimeter of polygon ABCDE to the perimeter of polygon TUVWX is 4:3, what is the perimeter of polygon ABCDE?
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The ratio of the lengths of a side of regular pentagon ABCDE to the length of a side of regular hexagon PQRSTU is 5:6. If the perimeter of pentagon ABCDE is 75 units, what is the perimeter of hexagon PQRSTU?
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If the perimeter of a parallelogram ABCD is equal to the perimeter of rhombus EFGH and the perimeter of square IJKL, then
Medium