Sequencing Translations and Reflections

Orientation is the ______ of the image as a result of a transformation on the pre-image.

Quadrilateral ABCD is reflected across the x-axis. Quadrilateral HGFE is the image of the reflection. Which angles must be congruent? (Choose all that apply.)

• ∠D≅∠H

• ∠D≅∠E

• ∠A≅∠H

• ∠E≅∠B

• ∠F≅∠C

Figures 1, 2, and 3 are congruent to each other. Describe the sequence of transformations that maps Figure 1 to Figure 3.

The quadrilateral JKMP shown on the grid below is reflected about the y-axis to J'K'M'P'. Which two quadrilateral sides are parallel?

• side K'M' and side J'P'

• side J'K' and side M'P'

• side J'P' and side PM

• side J'K' and side KJ

A line segment with endpoints at P(1,8) and Q(5,−2) is reflected across the y-axis and translated up 6 units. What are the coordinates of the image of point Q?

• (−5,4)

• (−1,14)

• (5,8)

• (1,−2)

Point A in quadrant II is reflected across the x-axis and then across the y-axis. In which quadrant is the image of point A?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

In the figure below, Line segment JK is parallel to Line segment LM. Suppose that JKLM will be reflected in the y-axis, then translated 3 units down to produce J'K'L'M'. Which statement is true?

• Line segment J'K' will be parallel to Line segment L'M'.

• Line segment J'K' will be perpendicular to Line Segment JK.

• Line segment J'K' will be perpendicular to Line segment L'M'.

• Line segment J'K' will be parallel to Line segment JK.

The graph below shows △DEF. △DEF is reflected across the x-axis to create △D'E'F'. If the measure of ∠D equals 33°, what is the measure of ∠D'? Explain how you found the angle measure.

In the figure, Line segment AB is transformed to Line segment A'B'. Determine the transformations that make Line segment AB≅Line segment A'B'.

In the diagram below, pentagon FGHIJ is congruent to pentagon PQRST. Which side has the same length as Line segment HI?

• Line segment PQ

• Line segment QR

• Line segment RS

• Line segment GH