Congruence and Similarity

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.

A pentagon graphed on a coordinate plane underwent a rotation about the origin, a reflection across the y–axis, a translation down, and a dilation with a scale factor of 3 from its center to produce another pentagon. Which of these statements is true about the original pentagon and the new pentagon?

• They are similar.

• They may or may not be similar, depending on the number of units translated.

• They may or may not be similar, depending on the number of degrees rotated.

• They are not similar.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

• T

• ∠T

• ∠M

• ∠L

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

• x = 20

• x = 12

• x = 5

• x = 4

Find the missing angle.

• 30° 

• 31° 

• 32° 

• 33° 

What is the measure of angle b?

• 198*

• 56*

• 63*

• 36*

Are the triangles similar? Explain.

• No, because only one angle of the triangles is congruent.

• Yes, because two of the angles are congruent.

• No, because only one triangle has a right angle.

• Not enough information to determine.

Which of these angles is NOT congruent to angle 5?

• Angle 6

• Angle 8

• Angle 1

• Angle 4

Find the measure of the indicated angle. 

• 26

• 36

• 85

• 144

What side corresponds to ED?

• TA

• NA

• TN

• RD