Download Angle-‐Angle Similarity Practice

Name:_____________________________________ Date:____________________ Angle-­‐Angle Similarity Practice Explain whether the triangles are similar.
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2.
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The diagram below shows a Howe roof truss, which is used to
frame the roof of a building. Use it to answer problems 3–5.
3. Explain why rLQN is similar to rMPN.
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4. What is the length of support MP ?___________________________
5. Using the information in the diagram, can you determine
whether rLQJ is similar to rKRJ? Explain.
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6. In the diagram at the right, sides SV and RW are parallel.
Explain why rRTW is similar to rSTV.
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Solve.
7. Which of the triangles at the right are
similar? Explain why.
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8. Can you assume that the similar triangles
in problem 7 are congruent? Explain.
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Find the unknown measure.
9. A tree casts a shadow 21 feet long, while Enzo, who is 5 feet tall, casts a shadow 6
feet long.
Height of tree = _________________
10. A zip line starts 35 feet above the ground and has one landing platform. The line is
secured into the ground.
Height of platform= _________________
In the diagram, segments BC and GH are parallel.
Use the diagram for Exercises 5–6.
11. Explain why rABC is similar to rFGH.
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Find the missing angle measure in each triangle.
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15.
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16. Which two triangles in problems 12−15 are similar? Explain.
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A cactus casts a shadow 33 feet long. At the same time of day,
Liam, who is 6 feet tall, casts a shadow 9 feet long, as shown.
17. The triangles are redrawn below. Write the given
information on the two new triangles.
18. Explain how you know that the
two triangles are similar.
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19. Complete and solve the proportion below
to find the height of the cactus.
6
=
x
x = ____ ft
Answer the questions about the diagram, which shows two
parallel lines cut by a transversal.
20. What are the measures of ∠RST and ∠VWT?
Explain how you found the angle measures.
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21. Explain whether rRST and rWVT are similar.
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