8th grade Ch 6 L2

Graph △ABC with vertices A(5, 1), B(1, 2), and C(6, 2) and its reflection over the x-axis. Then find the coordinates of the image.

• The reflected coordinates are A'(5, -1), B'(1, -2), and C'(6, -2).

• The reflected coordinates are A'(5, 1), B'(1, -2), and C'(6, 2).

• The reflected coordinates are A'(5, -1), B'(1, 2), and C'(6, -2).

• The reflected coordinates are A'(5, 1), B'(1, 2), and C'(6, 2).

The figure is reflected over the y-axis. Find the coordinates of point A' and point B'. Then sketch the image on the coordinate plane.

• The coordinates of A' are (-4, 4) and the coordinates of B' are (-2, 1).

• The coordinates of A' are (4, 4) and the coordinates of B' are (2, 1).

• The coordinates of A' are (-4, -4) and the coordinates of B' are (-2, -1).

• The coordinates of A' are (4, -4) and the coordinates of B' are (2, -1).

To determine the coordinates of a figure after a reflection over either axis, you must:

• Change the sign of the appropriate coordinate depending on the axis of reflection.

• Add 1 to both coordinates.

• Multiply both coordinates by 2.

• Switch the x- and y-coordinates.

Graph each figure and its reflection over the indicated axis. Then find the coordinates of the reflected image. ΔGHJ with vertices G(4, 2), H(3, -4), and J(1, 1) over the y-axis. What are the coordinates of the reflected image?

• G'(-4, 2), H'(-3, -4), J'(-1, 1)

• G'(4, -2), H'(3, 4), J'(1, -1)

• G'(-4, -2), H'(-3, 4), J'(-1, -1)

• G'(2, 4), H'(-4, 3), J'(1, -1)

Graph each figure and its reflection over the indicated axis. Then find the coordinates of the reflected image. ΔMNP with vertices M(2, 1), N(-3, 1), and P(-1, 4) over the x-axis. What are the coordinates of the reflected image?

• M'(2, -1), N'(-3, -1), P'(-1, -4)

• M'(2, 1), N'(-3, 1), P'(-1, 4)

• M'(-2, 1), N'(3, 1), P'(1, 4)

• M'(2, 4), N'(-3, 4), P'(-1, 1)

Graph each figure and its reflection over the indicated axis. Then find the coordinates of the reflected image. Quadrilateral WXYZ with vertices W(-1, -1), X(4, 1), Y(4, 5), and Z(1, 7) over the x-axis.

• W'(-1, 1), X'(4, -1), Y'(4, -5), Z'(1, -7)

• W'(-1, -1), X'(4, 1), Y'(4, 5), Z'(1, 7)

• W'(-1, -1), X'(4, -1), Y'(4, -5), Z'(1, -7)

• W'(-1, 1), X'(4, 1), Y'(4, 5), Z'(1, 7)

Graph each figure and its reflection over the indicated axis. Then find the coordinates of the reflected image. Quadrilateral DEFG with vertices D(1, 0), E(1, -5), F(4, -1), and G(3, 2) over the y-axis.

• D'(-1, 0), E'(-1, -5), F'(-4, -1), G'(-3, 2)

• D'(1, 0), E'(1, 5), F'(4, 1), G'(3, -2)

• D'(-1, 0), E'(-1, 5), F'(-4, 1), G'(-3, -2)

• D'(0, 1), E'(0, -5), F'(1, -4), G'(2, -3)

The figure at the right is reflected over the x-axis. Find the coordinates of point A' and point B'. Then sketch the image on the coordinate plane.

• A'(1, -7), B'(8, -7)

• A'(1, 7), B'(8, 7)

• A'(-1, -7), B'(-8, -7)

• A'(1, -8), B'(7, -8)

The coordinates of a point and its image after a reflection are given. Describe the reflection as over the x-axis or y-axis. A(-3, 5) → A'(3, 5)

• Reflection over the y-axis

• Reflection over the x-axis

• Reflection over the line y = x

• Reflection over the origin

The coordinates of a point and its image after a reflection are given. Describe the reflection as over the x-axis or y-axis. M(3, 3) → M'(3, -3)

• Reflection over the x-axis

• Reflection over the y-axis

• Reflection over the line y = x

• Reflection over the origin