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Transcript
8.5 Proving Triangles are
Similar
GOAL
1 Using Similarity Theorems
GOAL
2 Using Similar Triangles in
Real Life
1
Using Similarity Theorems
Theorem 8.2 Side - Side – Side (SSS)
Similarity
If the measures of the corresponding sides
of two triangles are proportional, then the
triangles are similar. Remember to check
ALL three ratios...
2
Using Similarity Theorems
Theorem 8.3 Side - Included Angle – Side
(SAS) Similarity
If the measures of two sides of a triangle are
proportional to the measures of two corresponding
sides of another triangle and the included angles are
congruent, then the triangles are similar.
3
4
5
Using Similar Triangles in Real Life
EXAMPLE 3
Ramon places a mirror on the ground forty-five feet from the base
of a building. He walks backward until he can see the top of the
building in the middle of the mirror. At that point, Ramon’s eyes
are six feet above the ground and he is seven and a half feet from
the mirror. Use similar triangles to find the height of the building.
6
Homework
WS
7