Review - Similar Figures

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.

Tags

CCSS.7.G.A.2

CCSS.7.RP.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.

Tags

CCSS.HSG.SRT.A.2

Triangle PQR is similar to triangle XYZ.
What is the length of line segment XZ?

• 11 in.
• 13.5 in.
• 9 in.
• 20.25 in.

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Lance the alien is 5 feet tall.  His shadow is 8 feet long.  At the same time of day, a tree's shadow is 32 feet long.  What is the height of the tree?

• 20 feet
• 24 feet
• 29 feet
• 51 feet

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Triangle ABC is similar to triangle XYZ.  What is the length of line segment BC?

• 5 cm
• 7.5 cm
• 8 cm
• 9 cm

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

If triangles ADE and ABC shown in the figure above are similar, what is the value of x?

• 4
• 5
• 6
• 8

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

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

• x = 1
• x = 3
• x = 9
• x = 5

Tags

CCSS.HSG.SRT.B.5

Using a proportion, find the height of the tree.

• x = 0.0625 ft.
• 16 ft
• x = 16 ft.

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? 

• 72 in
• 60 in
• 62 in
• 80 in

Tags

CCSS.7.G.A.1