I can draw reflections in the coordinate plane.

If the images to the right describe a reflection, in your own words, define reflection:

Vocabulary!   Line of Reflection Reflection in a line

Example 1: Draw the reflected image of quadrilateral WXYZ in line p.

Example 2: Quadrilateral JKLM has vertices J(2, 3), K(3, 2), L(2, –1), and M(0, 1). a) Graph JKLM and its image over x = 1.

Example 2: Quadrilateral JKLM has vertices J(2, 3), K(3, 2), L(2, –1), and M(0, 1). b) Graph JKLM and its image over y = –2 .

Reflections on a Coordinate Plane Reflection in the x-axis Reflection in the y-axis   (𝒙,𝒚)→( , )

Example 3: Quadrilateral ABCD has vertices A(1, 1), B(3, 2), C(4, –1), and D(2, –3). a) Graph the image reflected in the x – axis.

Example 3: Quadrilateral ABCD has vertices A(1, 1), B(3, 2), C(4, –1), and D(2, –3). b) Graph the image reflected in the y – axis.

Reflection in the line 𝒚=𝒙 (𝒙,𝒚)→( , )

Example 4: Quadrilateral ABCD has vertices A(1, 1), B(3, 2), C(4, –1), and D(2, –3). Graph the image under reflection of the line y = x.

You Try! 1. Graph the image of the figure below using the transformation given. a) Reflection across the x-axis

You Try! 1. Graph the image of the figure below using the transformation given. b) reflection across y = 3

You Try! 2. Given the coordinate points of an image, graph the points below. Then use the transformation given to plot the new figure. c) reflection across the x-axis T(2, 2), C(2, 5), Z(5, 4), F(5, 0)

You Try! 2. Given the coordinate points of an image, graph the points below. Then use the transformation given to plot the new figure. d) reflection across y = −2 H(−1, −5), M(−1, −4), B(1, −2), C(3, −3)

Summary! Reflection over x-axis Reflection over y-axis