Theorems of Similar Polygons

What side corresponds with AB? 

• BC
• FE
• DE
• FD

The pair of figures is similar. Find the missing side.

• x = 20
• x = 12
• x = 5
• x = 4

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

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

• the perimeter is 24

• the perimeter is 36

• the perimeter is 12

• the perimeter is 48

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

• 5:6
• 6:5
• 4:7
• 2:3

Find the height of the tree.

• 8 ft

• 30 ft

• 102 ft

• 36 ft

The triangles are similar, solve for the question mark, length of side AE.

• 8

• 12.5

• 18

• 24

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

• 3.75
• 9.75
• 10
• 12

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

• 2:5
• 5:3
• 3:5
• 2:3

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