Similarity

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

• equal
• congruent
• proportional
• none of these

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW
• ΔXZY~ΔNWE
• ΔZYX~ΔENW
• ΔYZX~ΔNWE

What does congruent mean?

• Same shape, different size
• Not same shape, or size
• Same size, same shape

Tell whether the two figures are congruent.

• Yes, same size and same shape
• No, same shape but different sizes
• No, different size and different shapes

Tell whether the two figures are congruent.

• Yes, same size and same shape
• No, same shape but different sizes
• No, different size and different shapes

Which of the following is NOT true about similar figures?

• A) Similar figures always have the same shape.
• B) Similar figures always have the same size.
• C) Similar figures always have corresponding angles that are equal.
• D) Similar figures always have corresponding sides that are proportional.

A telephone booth that is 8ft tall casts a shadow that is 4ft long. Find the height of a lawn gnome that casts a 2ft shadow.

• 2 ft

• 4 ft

• 6 ft

• 8 ft

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

• 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

Solve the proportion:

• 4
• 8
• 14
• 10

Determine whether each pair of ratios forms a proportion

• Proportion

• Not a Proportion