Corresponding Parts in Similar Figures

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 ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

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

As it relates to geometry, what does it mean for figures to be similar?

• corresponding sides are proportional and corresponding angles are congruent

• corresponding sides and angles are congruent

• angles are similar, and side lengths are the same, producing a figure that looks very close to another one.

• neither sides or angles are congruent

Are the two figures similar?

• yes

• no

Which best describes the pair of figures?

(a)  

• similar

• not similar

• congruent

• Proportional

The parts of congruent figures that match are called (a)  

• similar

• scale factor

• correspomnding parts

• similar polygons

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