Are They Similar Figures

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

Are any of these cylinders similar? Figures not to scale.

• A & B are similar

• B & C are similar

• A & C are similar

• None are similar

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.

What is the length in inches of line segment PQ?

• 40 in.

• 34 in.

• 38 in.

• 14 in.

Are the two figures similar?

• yes

• no

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

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

Figure ABCDE is similar to figure VWXYZ.

Figure JKLM is similar to figure PQRS.

Which proportion must be true for

these figures?

• 
• 
• 
• 

• A

• B

• C

• D