Reflections

What are the coordinates of the image of vertex D after a reflection across the x-axis?

a. (5, 3)

What is the rule for the reflection?

c. r y=x(x, y) •—> (y, x)

The image of △ABC after a reflection across E.G. is △A'B'C'. Which triangle must be a right angle and why?

d. △BGC is right because EG | CC' __

The image of △ABC after a reflection across EG is △A'B'C'. Which statement is true about point F?

a. F is the midpoint of AA' because E.G. bisects AA'

Which point would map onto itself after a reflection across the line y= -x?

d. (4, -4)

The image of my parallelogram PQRS after a reflection across WY is parallelogram P'Q'R'S'. If RR' = 12, then RZ =

6

Which statement must be true about the reflection of △XYZ across MN? Check all that apply.

m<X'Y'Z' = 90 degrees m<MCY = 90 degrees BZ' ~= BZ ZZ' || YY'

△A'B'C' was constructed using △ABC and line segment EH. For transformation to be reflection, which statements must be true? Check all that apply.

BD= DB' CG = GC' m<EFA = 90 degrees The line of reflection, EH, is the perpendicular bisector of BB', AA', and CC'.

Which statements must be true about the image of △MNP after a reflection across E.G.? Check all that apply.

The image will be congruent to △MNP E.G. will be perpendicular to the line segments connecting the corresponding vertices The line segments connecting corresponding vertices will all be parallel to each other.

What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the y-axis?

b. (-6, 8)

Figure ABCD was reflected across the x-axis to create figure A'B'C'D'. What are the coordinates of the pre-image of B'?

b. (-8, -2)

Figure ABCDEF was reflected across the line y= -x to create figure A'B'C'D'E'F'. What are the coordinates of the pre-image of F'?

c. (2, -4)

The image of trapezoid PQRS after a reflection across WY is trapezoid P'Q'R'S. What is the relationship between RR' and SS'?

c. RR' || SS'

A line segment has endpoints at (-4, -6) and (-6, 4). Which reflection will produce an image with endpoints at (4, -6) and (6, 4)?

b. a reflection of the line segment across the y-axis

A point has the coordinates (0,k). Which reflection of the point will produce an image at the same coordinates, (0,k)?

b. a reflection of the point across the y-axis

What are the coordinates of the image of vertex G after a reflection across the line y=x?

c. (-5,4)