Name ________________________________________ Date __________________ Class _________________

Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

59

Using Similar Triangles Module Quiz: B

In ,AEB+ CD is parallel to .AB

1. Complete each proportion.

A ?ECCA

=

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B ?ECEA

=

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C ?EBED

=

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D ?DBEB

=

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GHJ+ is shown.

2. Is ?FI HJ& Explain how you know.

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3. Find the coordinate of point P that divides the directed line segment from A(2, 1) to B(−8, 6) in the ratio of 2 to 3. Show your work.

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4. A person and a building cast a shadow at the same time of day.

A What type of geometric measure can you use to calculate the height of the building?

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B Write a ratio to describe the relationship between the person, the building, and their respective shadows.

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C The person is 6 feet tall and casts a shadow of 3.2 feet. The building casts a shadow of 18.5. How tall is the building? Justify your reasoning.

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MODULE

12

25Man 25 8 2 35,6101 Y

fraise 6 1 51 2

ztG9 2 C 2,3ED 4 1 2 3

FB

EDFIB

X 6Etf 18 5 3.2EC

hgier.fifeabiljIn shadowbiilAE shadowofper

KL

qCM_Rs

E _Za iqBy the TriangleProportionality Theorem X 34

Name ________________________________________ Date __________________ Class _________________

Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

60

Using Similar Triangles Module Quiz: B

Use the figure for 5–6. NMO+ is shown.

5. What is true about KL and ?MN Justify your reasoning with the correct theorem or postulate.

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6. What is MN?

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Use the information for 7–9.

Determine the geometric mean for each pair of numbers. Give your answer in simplest radical form and show all work.

7. What is the geometric mean of 2 and 32?

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8. What is the geometric mean of 3 and 75?

________________________________________

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9. What is the geometric mean of 6 and 42?

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Use the figure for 10–11. DGE+ is shown.

10. Write a proportion that can be used to find DG.

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11. In ,DGE+ GF = 1.5 and GE = 5. What is DG? Show your work.

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12. What is the similarity statement for the triangles shown?

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Use the figure for 13–14. MNO+ is shown.

13. What is x?

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14. What are y and z?

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MODULE

12

1.5 3.5T

yoj.esib ftp.g oneaEsEeibI

MN z KL Kisniotholint DE i5En2L is the

B MON Ng k OLmidpoint

KL is theMidseynent

MN is the possibleMidsegment answer

DHLjNdLKj gHKL4

7 5697 80 8

2

JEFF_TEST rY

y8.44We y 8 927 5691676

z 5481 11 4.24530