Similar Figures Congruent Parts

If ΔABC ≅ ΔXYZ, which statement is always true?

• AB = YZ

• ∠C ≅ ∠Z

• ∠B ≅ ∠C

• AC = XY

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? 

• 72 in

• 60 in

• 62 in

• 80 in

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent and the sides are proportional.

• No, the corresponding angles are not equal.

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

What is the scale factor from the triangle to the left to the triangle on the right?

• 2

• 3/2

• 2/3

• 1/2

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

What is the scale factor from ABCD to MNOP?

• 2/3

• 3/2

• 2

• 3

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

All angles in similar figures are congruent.  

• True

• False