Name: ______________________ Date: _______________

Math 9 Chapter 7 Similarity and Transformations

Lesson 7.3 Similar Polygons Focus: Recognize and draw similar polygons, then use their properties to solve problems.

Poly means many. So polygon means having many sides. Polygons: ________________________________________________________________.

Similar Polygons: ___________________________________________________________.

Corresponding Angles: _______________________________________________________.

Corresponding Sides: ________________________________________________________.

Properties of Similar Polygons: Two polygons are similar when: Corresponding (matching) sides are proportional AND

Corresponding (matching) angles are equal.

Example 1: Determine whether each pair of figures is similar. If they are similar,

Give the scale factor comparing the two figures 1. 2.

Similar? Yes or No Similar? Yes or No

Example 2: Given the scale factor between the similar polygons, find all of the missing dimensions

a. Scale factor is ½ b. Scale factor is 3

Example 3: Calculate the values of the variables in this proportion:

Example 4: These polygons are similar. Determine each length.

a) PT b) BC

Example 5: These polygons are similar. Determine each length.

a) Calculate the length of GH b) Calculate the length of NP

Example 6: These quadrilaterals are similar. Determine the values of x and y°.

13.6 10.2

31°

15.3x

y°

Assignment Pg. 341 – Q# 4,5,6,7,9,10,11 & 16