Transcript Slide 1

7-4
Applying Properties of Similar Triangles
Warm Up
Solve each proportion.
1.
2.
LEARNING GOALS – LESSON 7:4
7.4.1: Use properties of similar triangles to find segment lengths.
7.4.2: Apply the Converse of the Triangle Proportionality Theorem.
7.4.3: Apply the Two Transversals Proportionality & Triangle Angle
Bisector Theorem.
Example 1A: Finding the Length of a Segment
Given VU // TS, find US.
7-4
Applying Properties of Similar Triangles
Example 1B.: Finding the Length of a Segment
Given PQ//LM, find PN.
Example 2: Verifying Segments are Parallel
A. Verify that
.
B. AC = 36 cm, and BC = 27 cm.
Verify that
.
7-4
Applying Properties of Similar Triangles
Example 3A Art Application
Suppose that an artist decided to
make a larger sketch of the trees.
In the figure,
AB = 4.5 in.
BC = 2.6 in.
CD = 4.1 in.
KL = 4.9 in.
Find LM and MN to the nearest
tenth of an inch.
7-4
Applying Properties of Similar Triangles
Example 3B: Using the Triangle Angle Bisector Theorem
A. Find PS and SR.
B.
Find AC and DC.