A Scale and Similarity

Are the following similar? Why or why not?

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

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

• A
• B
• C
• D

Find the length of x

• x = 1
• x = 2
• x = 7
• x = 1/7

Solve for X.

• 2 ft
• 3 ft
• 4 ft
• 6 ft

What are similar figures?

• Shapes that have the same shape, but not necessarily the same size.
• Compares the sizes of the parts of the scale drawing to the actual sizes on the original object. 
• They are sides that are in the same position in different plane figures.  
• They are sides that have different ratios.

Triangle ABC and XYZ are similar.  Use your knowledge of scale factor to find the length of X.

• 20
• 25
• 100
• 40

Triangle ABC and XYZ are similar, ABC is the copy and XYZ is the original shape.  What is the scale factor or multiplier used to make the the smaller one larger?

• 2
• ½
• ⅖
• 5/2

Find missing side

• 5
• 7
• 9
• 11

All corresponding sides are proportional (same ratio) in similar figures.

• True
• False