Proportional Sides of Similar Triangles

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional 

• proportional, congruent 

• congruent, congruent

• proportional, proportional

Find missing side

• 5

• 7

• 9

• 11

Determine if the triangles are similar. Justify.

• Yes, by SSS.

• Yes, by SAS. Scale Factor is 1:2.

• Yes, by SAS. Scale Factor is 3:1.

• No, not similar.

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

• 10

• 12

• 15

• 18

Find the value of x.

• 6.92

• 18.67

• 2.625

• 13.71

Solve for X

• 7.5

• 4.8

• 13.33

• 5

Solve for x.

• 3

• 6

• 8

• 9

Triangle SQR is similar to triangle SPT. Which segment corresponds to segment QR?

• SP

• ST

• PR

• PT

Which of the following is NOT true about similar figures?

• Similar figures always have the same shape.

• Similar figures always have the same size.

• Similar figures always have corresponding angles that are equal.

• Similar figures always have corresponding sides that are proportional.