If AD = 16 and BD = 4 and AC = 9, find AE.

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Presentation transcript:

If AD = 16 and BD = 4 and AC = 9, find AE. Warm Up If AD = 16 and BD = 4 and AC = 9, find AE. A B C E D

Mod 17.1: Triangle Proportionality Theorem Essential Question: When a line parallel to one side of a triangle intersects the other two sides, how does it divide those sides? CASS: Prove theorems about triangles. Also G-CO.10, G-CO.12, G-SRT.5 MP.5 Using Tools

EXPLAIN 1 p. 882

EXAMPLE 1 p. 882

EXAMPLE 1 p. 883

4. Explain how you conclude that ▵AEF ∼▵ABC without using ∠3 and ∠4. REFLECT p. 883 4. Explain how you conclude that ▵AEF ∼▵ABC without using ∠3 and ∠4.

EXPLAIN 2 p. 883

EXPLAIN 2 p. 883

Start WS 17.1, #1-4

Your Turn p. 884

EXPLAIN 3 p. 884

EXAMPLE 4 p. 885

EXAMPLE 4 p. 885

Your Turn p. 885

ELABORATE p. 886 Draw a diagram.

Finish WS 17.1

Slope (m)

Example Graph the line containing the points ( -4, 2) and ( 2, -3) and find the slope. x y

ASSIGNMENTS pp. 897 # 5-8; and for EC #19