Chapter 7 Test, Form 3, Study notes of Geometry

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 _____________
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 1
3.
2. Determine whether trapezoid ABCD ∼ trapezoid PQRS. Justify your answer.
3. In ā–³ABC, m∠A = 51, AB = 14, and AC = 20. In ā–³DEF, m∠D = 51, DE = 16.8,
and DF = 24. Determine whether ā–³ABC ∼ ā–³DEF. Justify your answer.
4. If PQ = 12, find the measure of the dilation image of š‘ƒš‘„




with a scale factor of 3
4.
5. Find the value of x.
6. If ā–³ABC ∼ ā–³XYZ, find y.
7. Given ā–³SUV ∼ ā–³TUS, find TU.
8. Find m∠I.
9. ā–³ABC ∼ ā–³DEF, AB = 8, BC = 13, AC = 15, and DF = 20.
Find the perimeter of ā–³DEF.
10. ā–³ABC ∼ ā–³JKL, AB = 12, BC = 18.4, KL = 6.9, and JL = 5.6.
Find the scale factor of ā–³ABC to ā–³JKL.
11. Find the value of y.
1.
2. _______________________
3. _______________________
4. _______________________
5. _______________________
6. _______________________
7. _______________________
8. _______________________
9. _______________________
10. _______________________
11. _______________________
No; corr. sides are
not proportional.
yes; SAS
Similarity
9
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5
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NAME _____________________________________________ DATE ____________________________ PERIOD _____________

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

1

2. Determine whether trapezoid ABCD ∼ trapezoid PQRS. Justify your answer. 3. In ā–³ ABC, m ∠ A = 51, AB = 14, and AC = 20. In ā–³ DEF, m ∠ D = 51, DE = 16.8, and DF = 24. Determine whether ā–³ ABC ∼ ā–³ DEF. Justify your answer. 4. If PQ = 12, find the measure of the dilation image of š‘ƒš‘„Ģ…Ģ…Ģ…Ģ… with a scale factor of 34. 5. Find the value of x. 6. If ā–³ ABC ∼ ā–³ XYZ , find y. 7. Given ā–³ SUV ∼ ā–³ TUS , find TU. 8. Find m ∠ I. 9. ā–³ ABC ∼ ā–³ DEF, AB = 8, BC = 13, AC = 15, and DF = 20. Find the perimeter of ā–³ DEF. 10. ā–³ ABC ∼ ā–³ JKL, AB = 12, BC = 18.4, KL = 6.9, and JL = 5.6. Find the scale factor of ā–³ ABC to ā–³ JKL. 11. Find the value of y.

2. _______________________

3. _______________________

4. _______________________

5. _______________________

6. _______________________

7. _______________________

8. _______________________

9. _______________________

10. _______________________

11. _______________________

No; corr. sides are

not proportional.

yes; SAS

Similarity

šŸ šŸ‘

šŸ– šŸ‘

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 7 58 Glencoe Geometry

Chapter 7 Test, Form 3 (continued)

12. Find SR.

For Questions 13 and 14, ā–³ FGH ∼ ā–³ JKL****.

13. Find the value of x. 14. Find the ratio of the perimeter of ā–³ FGH to the perimeter of ā–³ JKL. 15. Find AD so that š·šø || š“šµ. 16. If WX = 23 and W′X′ = 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 ā–³ ABC ∼ ā–³ EFG and šµš· and š¹š» are medians, find BD.

Bonus The ratio of the lengths of the sides of

ā–³ ABC is 5:2^12 :4. The scale factor of ā–³ ABC to ā–³ DEC is 5:2, and the scale factor of ā–³ DEC to ā–³ FEG is 1:4. šµš¶ is the shortest side and š“šµ is the longest side of ā–³ ABC. Find FG.

12. _______________________

13. _______________________

14. _______________________

15. _______________________

16. _______________________

17. _______________________

18. _______________________

B: _______________________

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šŸ– šŸ“

šŸ” šŸ“

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