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What does the AA Similarity Theorem state about triangles?

Two equal angles make triangles similar

What property do corresponding sides of similar triangles have?

They are proportional

When parallel lines intersect two sides of a triangle, what do they create?

Similar triangles

Given 7y=812\frac{7}{y} = \frac{8}{12} in similar triangles, what is yy?

10.510.5 units

Given 6x=812\frac{6}{x} = \frac{8}{12} in similar triangles, what is xx?

99 units

What does the Triangle Proportionality Theorem state?

Parallel line divides sides proportionally

Given a6=39\frac{a}{6} = \frac{3}{9} with parallel lines, what is aa?

22 units

If DE∥BCDE \parallel BC and DE9=38\frac{DE}{9} = \frac{3}{8}, what is DEDE?

3.3753.375 units

For DE∥BCDE \parallel BC, which proportion applies by Triangle Proportionality Theorem?

DEBC=ADAB\frac{DE}{BC} = \frac{AD}{AB}

Why are triangles with two pairs of equal angles similar?

AA Similarity Theorem applies

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