Using Proportions with Similar Figures

2) Are the two figures similar?

• No, the sides are not proportional.

• No, the sides are not congruent.

• Yes, the sides are proportional.

• Yes, the sides are congruent.

4) In the figure below, which side corresponds to side DC ?

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5) Triangles MNP and XYZ are congruent. Which statements are true?

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6) Which pair of triangles is most likely similar?

• 1 and 4

• 2 and 5

• 3 and 5

• 4 and 2

7) The two triangles shown are similar. Which statement is NOT true?

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8) Triangle PQR is similar to triangle STU. Which proportion can be used to find the length of n?

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9) Quadrilateral PQMN is similar to quadrilateral WXYZ. What is the measure of ∠Z ?

• 65^o

• 80^o

• 100^o

• 115^o

10) Triangle ABC and triangle DEF are similar. Which could be the lengths of BC and EF?

• BC = 6 and EF = 3

• BC = 9 and EF = 3

• BC = 3 and EF = 6

• BC = 3 and EF = 9

11) Look at the similar figures. Which statement is true?

• ∆BAC ~ ∆GHF

• ∆ABC ~ ∆HGF

• ∆BAC ~ ∆FGH

• ∆ABC ~ ∆FGH

12) Quadrilateral ABCD is similar to quadrilateral QMPH. What is the measure of ∠MPH from the quadrilateral not shown?

• 50^o

• 74^o

• 106^o

• 130^o