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Chapter 7. 57. Glencoe Geometry. Chapter 7 Test, Form 3. SCORE ______. 1. Draw the image of this figure under a dilation with center C and a scale factor of.
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NAME _____________________________________________ DATE ____________________________ PERIOD _____________
1. Draw the image of this figure under a dilation with center C and a scale factor of
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2. Determine whether trapezoid ABCD ā¼ trapezoid PQRS. Justify your answer. 3. In ā³ ABC, m ā A = 51, AB = 14, and AC = 20. In ā³ DEF, m ā D = 51, DE = 16.8, and DF = 24. Determine whether ā³ ABC ā¼ ā³ DEF. Justify your answer. 4. If PQ = 12, find the measure of the dilation image of ššĢ Ģ Ģ Ģ with a scale factor of 34. 5. Find the value of x. 6. If ā³ ABC ā¼ ā³ XYZ , find y. 7. Given ā³ SUV ā¼ ā³ TUS , find TU. 8. Find m ā I. 9. ā³ ABC ā¼ ā³ DEF, AB = 8, BC = 13, AC = 15, and DF = 20. Find the perimeter of ā³ DEF. 10. ā³ ABC ā¼ ā³ JKL, AB = 12, BC = 18.4, KL = 6.9, and JL = 5.6. Find the scale factor of ā³ ABC to ā³ JKL. 11. Find the value of y.
š š
š š
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
12. Find SR.
For Questions 13 and 14, ā³ FGH ā¼ ā³ JKL****.
13. Find the value of x. 14. Find the ratio of the perimeter of ā³ FGH to the perimeter of ā³ JKL. 15. Find AD so that š·šø || š“šµ. 16. If WX = 23 and Wā²Xā² = 45 , find the scale factor of the dilation. 17. When a 15-foot tall climbing wall cast a 20-foot shadow, a building cast a 32-foot shadow. Find the height of the building. 18. If ā³ ABC ā¼ ā³ EFG and šµš· and š¹š» are medians, find BD.
Bonus The ratio of the lengths of the sides of
ā³ ABC is 5:2^12 :4. The scale factor of ā³ ABC to ā³ DEC is 5:2, and the scale factor of ā³ DEC to ā³ FEG is 1:4. šµš¶ is the shortest side and š“šµ is the longest side of ā³ ABC. Find FG.
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š š
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