Reflections

The image of parallelogram PQRS after a reflection across is parallelogram P'Q'R'S'. = 12. What is the length of RZ?

6

The image of ΔABC after a reflection across is ΔA'B'C'. Which statement is true about point F?

a

ΔA'B'C' was constructed using ΔABC and line segment EH. For to be the line of reflection between and , which statements must be true? Select three options.

a c d

Which statements must be true about the image of ΔMNP after a reflection across ? Select three options. The image will be congruent to ΔMNP. The orientation of the image will be the same as the orientation of ΔMNP. will be perpendicular to the line segments connecting the corresponding vertices. The line segments connecting the corresponding vertices will all be congruent to each other. The line segments connecting corresponding vertices will all be parallel to each other.

a c e

What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the y-axis? (-8, -6) (-6, 8) (8, 6) (6, -8)

b

Which statements must be true about the reflection of ΔXYZ across ? Select three options.

b d e wrong

What are the coordinates of the image of vertex G after a reflection across the line y = x? (-4, -5) (4, 5) (-5, 4) (5, -4)

c

What is the rule for the reflection? rx-axis(x, y) → (-x, y) ry-axis(x, y) → (-x, y) rx-axis(x, y) → (x, -y) ry-axis(x, y) → (x, -y)

c

What is the rule for the reflection? ry=x(x, y) → (-y, -x) ry=-x(x, y) → (-y, -x) ry=x(x, y) → (y, x) ry=-x(x, y) → (y, x)

c

The image of ΔABC after a reflection across is ΔA'B'C'. Which triangle must be a right triangle and why? ΔA'B'C' is right because it is the image of ΔABC. ΔADC is right because AA' intersects AC at A. ΔBCC' is right because B lies of the line of reflection. ΔBGC is right because CC'.

d