Similarity with Area and Volume

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

• Congruent
• Vertical
• Similar
• Complementary 

Matching sides are called

• Corresponding Sides
• Corresponding Angles
• The Same
• Congruent Sides

What is the scale factor of the two triangles?

• 2

• 3/2

• 2/3

• 1/2

What is the scale factor?

• 1/4

• .25

• 5/28

• 6

Are the two objects similar?

• Yes

• No

Determine if the volumes are similar, and if yes, the correct scale factor.

• No

• Yes, 1/2

• Yes, 1/3

• Yes, 2/3

Given the triangles are similar and the area of the larger triangle is 100, what is the area of the smaller triangle?

• 200 units²

• 25 units²

• 6.25 units²

• 12.75 units²

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

Which triangle is similar to the above triangle?

• A
• B
• C
• D

Given the rectangles are similar and the area of the smaller is 8 ft², what is the area of the larger rectangle?

• 200 ft²

• 40 ft²

• 120 ft²