1. Ch. 7, Polar Coordinates, and Circles By: Erik Dekelbaum David Tondreau Thomas Pullano

2. Properties of Proportions 1. is equivalent to: a. ad = bc b. c. d. 2. If = …, then =

3. Postulates & Theorems AA Similarity Postulate – If 2 angles of one triangle are congruent to 2 angles of another triangles, then the triangles are similar. SAS Similarity Theorem – If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar. SSS Similarity Theorem – If the sides of 2 triangles are in proportion, then the triangles are similar.

4. Postulates & Theorems Cont. Triangle Proportionality Theorem – If a line parallel to one side of a triangle intersects the other 2 sides, then it divides those sides proportionally. Corollary – If 3 parallel lines intersect 2 transversals, then they divide the transversals proportionally. Triangle Angle-Bisector Theorem – If a ray bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other 2 sides.

5. #1 K R S T U Let ; KR = 12 RT= 9 KT = 21 KS = 16 SU = 12 KU = 28 12 9 16

6. #2 Y 15 18 Z 12 X 10 12 Given: Polygons similar as shown So corresponding sides are in proportion- Definition of similar polygons

7. #3 P Q T R S 6 9 10 15 Vertical Angles Postulate A. B. Simplify…

8. #49 -5 10 5 3 -4 120° 180° 126.8699° 180+126.8699=306.8699° (-5, ) = (10,120°) (3,-4) = (5, 306.8699°)

9. #50