SV Geometry Similar Shapes

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

• Congruent
• Vertical
• Similar
• Complementary 

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

Find the length of x

• x = 1
• x = 2
• x = 7
• x = 1/7

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

• 20

• 25

• 100

• 40

Triangle ABC and XYZ are similar, ABC is the new figures and XYZ is the original. What is the multiplier (scale factor) used to make the the smaller one larger?

• 2

• ½

• ⅖

• 5/2

Solve for X.

• 36
• 27
• 45
• 56

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

• True
• False

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What is a zoom factor (scale factor)?

• Shapes that have the same shape, but not necessarily the same size.

• A ratio/number that compares the lengths of the parts of the figures.

• The area of the new figure.

• The greatest length of a side of a similar figure.