DIRECTIONS Read each question. Then circle the letter for the correct answer. 1 Which proportion correctly models the relationship between the side lengths of the similar figures below? 3 Which of the following statements is NOT true regarding dilation and similar polygons? 7.5 ft A All similar polygons are dilations of one another. B All dilations of a polygon will be similar. 12 ft 12 ft C Not all dilations of a polygon are necessarily similar. 6 ft D Not all polygons are similar. 5 ft A j- c号-發 4 Triangle TUV has sides that measure 12, 8, and 6. Triangle XYZ has sides that measure 8, 6, and 3. Can triangles TUV and XYZ be similar polygons? 2 Elisa wants to find the height of a fir tree. She is 5 feet tall. When Elisa's shadow is as shown, the tree casts a shadow 12 feet longer than her shadow. F Yes. Regardless of the lengths of the sides, you can always join them by angles that form similar triangles. G Yes. The ratio 12:6 is the same as the ratio 6:3. H No. The ratio 12:6 is the same as the ratio 6:3. J No. The ratio of the longest sides is 12:8 and the shortest sides is 8:3. 5t 5 In two similar rectangles, the lengths of two of the corresponding sides are 2 cm and 6 cm. If the perimeter of the larger rectangle is 18 cm, what is the perimeter of the smaller rectangle? How tall is the tree? F 10 ft G 15 ft A 6 cm B 9 cm C 36 cm H 17 ft 18 ft 54 cm
DIRECTIONS Read each question. Then circle the letter for the correct answer. 1 Which proportion correctly models the relationship between the side lengths of the similar figures below? 3 Which of the following statements is NOT true regarding dilation and similar polygons? 7.5 ft A All similar polygons are dilations of one another. B All dilations of a polygon will be similar. 12 ft 12 ft C Not all dilations of a polygon are necessarily similar. 6 ft D Not all polygons are similar. 5 ft A j- c号-發 4 Triangle TUV has sides that measure 12, 8, and 6. Triangle XYZ has sides that measure 8, 6, and 3. Can triangles TUV and XYZ be similar polygons? 2 Elisa wants to find the height of a fir tree. She is 5 feet tall. When Elisa's shadow is as shown, the tree casts a shadow 12 feet longer than her shadow. F Yes. Regardless of the lengths of the sides, you can always join them by angles that form similar triangles. G Yes. The ratio 12:6 is the same as the ratio 6:3. H No. The ratio 12:6 is the same as the ratio 6:3. J No. The ratio of the longest sides is 12:8 and the shortest sides is 8:3. 5t 5 In two similar rectangles, the lengths of two of the corresponding sides are 2 cm and 6 cm. If the perimeter of the larger rectangle is 18 cm, what is the perimeter of the smaller rectangle? How tall is the tree? F 10 ft G 15 ft A 6 cm B 9 cm C 36 cm H 17 ft 18 ft 54 cm
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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