Geometry Chapter 7 & 8 Review

• x = 16

• x = 13

• x = 24

• x = 17

The ratio of the measures of the side of a triangle is 3:5:7 and its perimeter is 450 centimeters. Find the measures of each side of the triangle.

• x = 20

• x = 25

• x = 30

• x = 15

polygons that have the same shape but not necessarily the same size are...

• polygons

• same polygons

• similar polygons

• none of the above

The ratio of the lengths of the corresponding sides of two similar polygons is the...

• change factor

• scale factor

• ratio

• none of the above

The perimeters of similar polygons are _________ to the scale factor between them.

• the same

• rational

• different

• proportional

Determine whether the triangles shown are similar. If so, write the similarity statement and scale factor. Explain your reasoning.

• Therefore, we know that triangle NQP is similar to triangle RST, scale factor = 4/5.

• Therefore, we know that triangle NQP is similar to triangle RST, scale factor = 5/3.

• Therefore, we know that triangle NQP is similar to triangle RST, scale factor = 5/4.

• Both the first and third option are suitable answers.

Use Similar Figures to Find Missing Measures. In the diagram, ACDF is similar to VWYZ.

• x = 15, y = 3

• x = 15, y = 2.7

• x = 3, y = 15

• x = 20, y = 1.83

If ABCDE PQRST, find the scale factor of ABCDE to PQRST and the perimeter of each polygon.

• ABCDE = 65, PQRST = 91, scale factor = 5/7

• ABCDE = 65, PQRST = 46.43, scale factor = 7/5

• ABCDE = 65, PQRST = 46.43, scale factor = 5/7

• None of the above

if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar

• Side-Side-Side Similarity

• Side-Angle-Side Similarity

• Angle-Angle Similarity

• Side-Side-Angle Similarity

if the corresponding side lengths of two triangles are proportional, then the two triangles are similar

• Side-Side-Side Similarity

• Side-Angle-Side Similarity

• Angle-Angle Similarity

• Side-Side-Angle Similarity