Module 7 Study Guide

Symmetry

• Define symmetrical

• What is a line of symmetry?
• Example:

Parallel Lines Cut by a Transversal

• Complementary Angles:

• Supplementary Angles:

• Vertical Angles:

• Corresponding Angles:

• Alternate Exterior Angles:

• Alternate Interior Angles:

Similar Figures

• The 2 properties of similar triangles are:

1.

2.

• Give 3 example of similar figures that fit the criteria above:

1. 2. 3.

• What notation is used to label similar figures?

• What is a Similarity Ratio?

Practice:

1. In the diagram below, line x is parallel to line y. Find the measure of each labeled angle.

a. ________ b. ________ c. ________

d. ________ e. ________ f. ________

g. ________ h. ________ i. ________

j. ________ k. ________ l. ________

2. Find the value of x in each of the following proportions.

a.

b.

3. Consider the two similar triangles below.

b. What is the value of the scale factor that creates triangle ABC from triangle DEF?

4. The two polygons below are similar.

a. What is the similarity ratio (aka scale factor)?

b. Write a similarity statement

c. Find the values of w, x, y, and z.

5. The cherry tree is Sally's yard is 18 ft tall and the apple tree is 24 ft tall. The shadow of the cherry tree is 27 ft long at 6 am . How long will the apple tree's shadow be at 6am?

6. Solve for the variable:

a.

b.

c.