Corresponding Sides and Angles of Similar Triangles

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Given that Triangle BAC is similar to Triangle EDF. Find the angle EFD.

• 45

• 22

• 113

• 18

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

• x = 1

• x = 3

• x = 9

• x = 5

Mrs. Ashley used similar triangles to make a design.  Which statement about the triangles in the design must be true?

• They are the same size and shape.

• They are the same size but different shapes.

• They have corresponding angles that are congruent.

• They have corresponding sides that are congruent.

If ⊿ABC ∼⊿XYZ, then AB/XY = __/YZ.

• XY

• AB

• BC

• AC

What side in triangle DEF, corresponds with AB in triangle ABC? 

• BC

• FE

• DE

• FD

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

• SP

• ST

• PR

• PT

Find side length X.

• 30

• 25

• 15

• 40

If two figures are similar their angles are______.

• proportional

• congruent

• supplementary

• complementary

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

• equal

• congruent

• proportional

• none of these