Geom8-2and8-3ProvingTriangleSimilarityBy AA SSS SAS ...staffweb.psdschools.org/eharding/Geom/Ch.8Similarity...Geom8 2and8 3ProvingTriangleSimilarityBy AA SSS SAS.notebook March 07,

Geom82and83ProvingTriangleSimilarityBy AA SSS SAS.notebook March 07, 2018

Geometry

P37 82 Proving Triangle Similarity by AA83 Proving Triangle Similarity by SSS and SAS





Are these triangles similar? If yes, write a similarity statement.

The triangles are similar. Find the value of x.


The triangles are similar. Find the value of x.

HW#42 82 and 83 WS

Please put your name and class period at the top ofthe homework. Also include the homework number.


Determine whether the triangles are

similar. If they are, write a similarity

statement. Explain your reasoning.

Show that the two triangles are similar.

a. △ABE ∼ △ACD b. △SVR ∼ △UVT


A flagpole casts a shadow that is 50 feet long. At the same time, a woman standing nearby who is 5 feet 4 inches tall casts a shadow that is 40 inches long. How tall is the flagpole to the nearest foot?


Is either △DEF or △GHJ similar to △ABC?

Find the value of x that makes △ABC∼△DEF.


You are building a leanto shelter starting from a tree branch, as shown. Can you construct the right end so it is similar to the left end using the angle measure and lengths shown?


AngleAngle Similarity (AA~) Postulate If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

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Ways to Prove Triangles SIMILAR

SideAngleSide Similarity (SAS~) Theorem If an angle of one triangle is congruent to an angle of a second triangle, and the sides including the two angles are proportional, then the triangles are similar.

SideSideSide Similarity (SSS~) Theorem If the corresponding sides of two triangles are proportional, then the triangles are similar.

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1. Explain how to show that the indicated triangles are similar.

a. △SRT ∼ △PNQ b. △XZW ∼ △YZX


2. Determine whether the triangles are similar.

If they are, write a similarity statement. Explain your reasoning.

3. Show that the two triangles are similar.

a. △ABE ∼ △ACD b. △SVR ∼ △UVT


4. Show that the triangles are similar. Write a similarity statement.

a. △FGH and △RQS b. △CDF and △DEF

Find the value of x that makes △ABC∼△DEF.


Jenny places a mirror 24 ft from the base of a flagpole. When she stands 3 ft from the mirror, she can see the top of the flagpole reflected in it. If her eyes are 5 ft above the ground, how tall is the flagpole?

When a 6 ft tall man casts a shadow 18 ft long, a nearby tree casts a shadow 93 ft long. How tall is the tree?

Documents

Geom8-2and8-3ProvingTriangleSimilarityBy AA SSS SAS ...staffweb.psdschools.org/eharding/Geom/Ch.8Similarity...Geom8 2and8 3ProvingTriangleSimilarityBy AA SSS SAS.notebook March 07,