Similarity of Polygons and Triangles

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

The figures are similar. Find the scale factor of the smaller figure to the larger figure.

• 2:5

• 5:3

• 3:5

• 2:3

Solve for x. The two figures are similar.

• x = 6

• x = 9

• x = 7

• x = `0

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Find the missing side of the large triangle, then, find the PERIMETER of the large triangle.

• the missing side is 12, the perimeter is 24

• the missing side is 12, the perimeter is 36

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 missing side

• 5

• 7

• 9

• 11

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft