Similar Figures: Finding Missing Sides and Angles

The pair of figures is similar. Find the missing side.

• x = 20
• x = 12
• x = 5
• x = 4

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CCSS.HSG.SRT.A.2

Using a proportion, find the height of the tree.

• x = 0.0625 ft.
• 16 ft
• x = 16 ft.

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CCSS.HSG.SRT.B.5

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

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CCSS.HSG.SRT.A.2

What similarity theorem would prove that these triangles are similar?

• SAS∼
• SSS∼
• AA∼
• Side Splitter

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CCSS.HSG.SRT.B.5

• 20

• 30

• 25

• 23

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CCSS.HSG.SRT.B.5

How do these triangles appear to be similar?

• AA
• SAS
• SSS
• Not Similar

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CCSS.HSG.SRT.B.5

• 70 degrees

• 30 degrees

• 40 degrees

• 25 degrees

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CCSS.HSG.SRT.A.2

Given that the two triangles are similar, solve for each missing angles as notated by the variables.  (Pictures not drawn to scale)

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CCSS.HSG.SRT.A.2

The two parallelograms above are similar.
What is the length in inches of line segment PQ?

• 40 in.
• 34 in.
• 38 in.
• 14 in.

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are the following figures similar? Why or why not?

• Yes, the ratios of the corresponding sides are equal.

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

• No, the corresponding angles are not equal.

• Yes, the corresponding angles are equal.

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6