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Answers to Homework. 2) Sometimes 4) Sometimes 6) Sometimes 8) Sometimes 10) Sometimes 12) Never 14) Always 16) Trapezoid 18) 45 20) 20 22) 4:5 24) x=28, y=24, z=36 26) x=30, y=24, z=20 3. 7-4 Postulate for similar triangles. Answer to Warm Up Yes - ABX CDX.
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Answers to Homework 2) Sometimes 4) Sometimes 6) Sometimes 8) Sometimes 10) Sometimes 12) Never 14) Always 16) Trapezoid 18) 45 20) 20 22) 4:5 24) x=28, y=24, z=36 26) x=30, y=24, z=203
7-4 Postulate for similar triangles Answer to Warm Up Yes - ABX CDX
Remember: If 2 angles of a triangle are congruent to 2 angles of another triangle, then the 3rd angles are congruent. AA Similarity Postulate If 2 angles of a triangle are congruent to 2 angles of another triangle, then the 2 triangles are similar.
Try On Own • Name the similar triangles, if there are any. 1) 2) 3) A A C B D E B D C C E A • ABC ADE • ABC ADC • ABC AED B D
Example: Hint – Separate Triangles A Scale Factor: 7/4 A x B 8 x + 3 8 3 y E C 7 E C 3 D 4 B y 3 C D 4
Try On Own: Solve for x and y T 1) 2) 3 5 A 8 C E x 4 y H J y 9 K O 12 15 10 E S x
Homework • Pg 257 #1-19 • Theorems that will help you • Opposite sides of parallelograms are congruent • Alternate interior angles of parallel lines are congruent • Vertical angles are congruent