Geometry // Reflections Assignment

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

-2,6

The image of a point is given by the rule ry = -x(x, y) → (-4, 9). What are the coordinates of its pre-image?

-9,4

Consider the reflection of ΔABC across the line of reflection, PT

C'Q = QC PT⊥ A'A A'A || B'B m∠TRB = 90°

Which are true if figure DEFG is reflected across the x-axis? Check all that apply.

D(0, 4) → D'(0, -4) E(-2, 0) → E'(-2, 0) The perpendicular distance from G' to the x-axis will equal 2 units.

Point P is located at (-4, -7). P is reflected across the x-axis to create P'. In which quadrant is P' located?

Quadrant II

Which reflection will produce an image of ΔRST with a vertex at (2, -3)?

a reflection of ΔRST across the line y = -x

Sumy is working in geometry class and is given figure ABCD in the coordinate plane to reflect. The coordinates of point D are (a, b) and she reflects the figure over the line y = x. What are the coordinates of the image D'?

b,a

Trapezoid LMNP was reflected using the rulery-axis(x, y) → (-x, y). Which figure represents the image of the reflection? figure

c

What is the rule for the reflection? ABCD

rx-axis(x, y) → (x, -y)

What is the rule for the reflection? LMN

ry-axis(x, y) → (-x, y)

Consider reflections of ΔJKL. What line of reflection maps point K to point K' at (-5, 2)? What line of reflection maps point L to point L' at (-2, 3)?

y-axis y=-x