Congruence and Transformations

Find the value of x and y.

Find the values of x and y.

The triangles are congruent. Which of the following statements must be true?

• ∠A ≅ ∠D

• ∠B ≅ ∠E

• AB ≅ DE

• BC ≅ FD

∆ABC≅∆XYZ
which is true?

• AB≅XY

• AB≅YX

• AB≅XZ

• BC≅CB

Are the two figures similar?

• yes

• no

When talking about figures on a coordinate plane, what does "congruent" mean?

• Same shape, same size

• Same shape, size changes

• Different shape, different size

• Same shape, different size

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