Transformation, Congruence and Similarity

Are the two figures similar?

• yes

• no

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

Line segment AB is reflected across the y-axis to form segment CD. Then, segment CD is rotated 180 degrees clockwise to form segment EF. Which statement is TRUE about this transformation?

• Line segment EF is the same length as line segment AB.

• Line segment EF is longer than line segment CD.

• Line segment EF is shorter than line segment AB.

• Line segment CD is shorter than line segment AB.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

• T

• ∠T

• ∠M

• ∠L

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

• x = 10

• x = 4

• x = 2

• x = 5

What triangle congruence criteria is shown in the given diagram?

• AAS

• ASA

• SSA

• SAS

Are the triangles similar?

• Yes

• No

• There is not enough information.

Are the triangles congruent, if yes, why?

• SSS

• SAS

• ASA

• Not Congruent

Are the triangles congruent, if yes, why?

• SAS

• ASA

• SSS

• Not Congruent

Are the triangles congruent, if yes, why?

• SSS

• ASA

• AAA

• Not Congruent