Transformations Pre-Test

Triangle DEF is rotated 90° to the right to form the triangle with the side lengths shown below.

Select all which are true.

•  $DE\approx r$  
  

•  $DE\approx s$  

•  $DE\approx t$  

•  $EF\approx r$  

•  $EF\approx s$  

Triangle DEF is rotated 90° to the right to form the triangle with the side lengths shown below.

Select all which are true.

• $EF\approx t$

• $DF\approx r$

• $DF\approx s$

• $DF\approx t$

Suppose a line segment with a length of 9 in. that is located in Quadrant I of a coordinate plane is reflected across the x–axis. Which of these statements is/are correct about the resulting figure? Select all that apply.

• It will have a length of 11 in.

• It will still be located in Quadrant I.

• It will still have a length of 9 in.

• It will still be a line segment.

In ΔDEF, ∠DEF measures 30°, ∠EFD measures 60°, and ∠FDE measures 90°. Suppose the triangle were reflected across the line y = –x in a coordinate plane. Which of these statements would be correct about the resulting triangle? Select three that apply.

• ∠DEF would measure 30°

• ∠DEF would measure 90°

• ∠FDE would measure 60°

• ∠FDE would measure 90°

• ∠EFD would measure 60°

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.

Angle _____ = Angle C

• C'

• B'

• A

• A'

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.

Angle _____ = Angle A

• A'

• B'

• C

• C'

Triangle ABC is reflected across the y-axis and then translated 4 units down to form triangle A'B'C'.

Angle _____ = Angle B'

• C

• C'

• B

• A

Suppose a coordinate plane contains line l, line m, line p, and line q. If all that is known is that line l is parallel to line m, and line p is parallel to line q, which of these statements must be true after all of the lines are reflected across the y–axis. Select all that apply.

• Line l is parallel to line p.

• Line l is parallel to line m.

• Line p is parallel to line q.

• Line m is parallel to line q.

Line segments BC and DE are shown on a coordinate plane below. The line segments are reflected across the x-axis and then rotated 180° clockwise around the origin. Determine which of the following statements are true for the resulting line segments.

Line segment BC would be parallel to _____________________

• the x - axis

• the y - axis

Choose the congruent angles on the triangle shown below:

• ∠A and ∠C

• AB and AC

• ∠A and ∠B

• AB and BC