Similar Figures Congruent Parts

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

Complete each proportion.
AB / BM  =  ? / CD

• BC

• AC

• MD

• MC

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

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

• 2:5

• 5:3

• 3:5

• 2:3

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.

What is the similarity statement for the triangle pair? (use the arc marks to help write corresponding parts in the same order)

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

• AB = YZ

• ∠C ≅ ∠Z

• ∠B ≅ ∠C

• AC = XY

• ST

• RS

• DF

• RT

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft

The polygons are similar.
Find x.

• x = 2

• x = 6

• x = 4 

• x = 8