Similar and Congruent

Δ ABC and Δ A'B'C' are shown below. Are they similar? If so, what is the Scale Factor?

• Yes; the SF = 2

• Yes; the SF = 1/2

• No; there is no common scale factor

• Not enough information

The two trapezoids are similar. Determine the value of b.

• 66 mm

• 56 mm

• 7.3 mm

• 60 mm

ABCD ~ EFGH. Determine the value of x and the length of segment GH.

• x = 225⁰; GH = 6

• x = 25⁰; GH = 9

• x = 75⁰ ; GH = 19

• x = 75⁰ ; GH = 9

Are these two triangles Similar?

• No; the scale factors are not the same

• No; the triangles look different

• Yes; the SF is 0.7

• Yes; the SF is 1.4

If ABC ~ DEF, what of the following statements is true?

• AB/DE ≅ AC/EF

• AB/DE ≅ BC/DF

• AB/DE ≅ CA/FE

• AB/DE ≅ AC/DF

The two trapezoids are similar to each other. What is the value of x?

• 3.75

• 3.5

• 3

• 2.5

Is ABC ~ A'B'C'? How do you know?

• No; Shapes look Different

• Yes; the SF = 3

• No; Scale Factors don't match

• Yes; the SF = 1/3

Triangles UNC and DUK are similar. The length of the sides of △UNC are 8, 5, 10. The length of the smallest side of △ DUK is 1. What is the length of the longest side of △DUK?

• 1

• 2

• 3

• 5

PQRS~LMNO. What is the value of x?

• x = 6 in

• x = 4.8in

• x = 13.3 in

• x = 6 in

Are they similar? If so what is the scale factor? If not, explain.

• No; the scale factors don't match

• Yes; SF = 6

• Yes; SF = 4

• Yes; SF = 2