Geometry Worksheet
Prove Triangles Similar
AA, SAS, SSS
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Prove Triangles Similar using
AA, SAS, SSS |
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This worksheet contains problems where students are asked to write similarity statements,
use AA, SAS, and SSS similarity postulates/theorems to prove that triangles are
similar, to find missings angles and sides, and to set up proportions. |
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Sample Problems from Worksheet (diagrams not shown) |
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1) Which group contains triangles that are all similar triangles?.
2) In △QRS, QR = 4, RS = 15, and m∠R = 36. In △UVT, VT = 8, TU = 32, and m∠T
= 36. State whether the triangles are similar, and if so, write a similarity statement.
7) Write a similarity statement for the two triangles.
10) Are the triangles similar? If so, write a similarity statement and name the
postulate or theorem you used. If not, explain.
13) Michele wanted to measure the height of her school’s flagpole. She placed a
mirror on the ground 48 feet from the flagpole, then walked backwards until she
was able to see the top of the pole in the mirror. Her eyes were 5 feet above the
ground and she was 12 feet from the mirror. Using similar triangles, find the height
of the flagpole to the nearest hundredth of a foot.
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