I can draw reflections in the coordinate plane

Vocabulary! Transformation *please add to your workbook! • Maps a geometric figure onto a

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

Vocabulary! Line of Reflection A line in which each point on the preimage and

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

Add to Notes! X = # (A NUMBER) IS A VERTICAL LINE Y =

Example 2: Quadrilateral JKLM has vertices J(2, 3), K(3, 2), L(2, – 1), and

Reflections on a Coordinate Plane Reflection in the x-axis Reflection in the y-axis

Example 3: Quadrilateral ABCD has vertices A(1, 1), B(3, 2), C(4, – 1), and

Brain Break! • You may stand or remain seated for this activity. • Move

Example 4: Quadrilateral ABCD has vertices A(1, 1), B(3, 2), C(4, – 1), and

You Try! 1. Graph the image of the figure below using the transformation given.

You Try! 2. Given the coordinate points of an image, graph the points below.

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

Slides: 20

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I can draw reflections in the coordinate plane. 9. 1: Reflections Agenda: • 9. 1 Notes

Vocabulary! Transformation *please add to your workbook! • Maps a geometric figure onto a new figure • Preimage: original figure • Image: new figure • Can change size, position, or shape of a figure

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

Vocabulary! Line of Reflection A line in which each point on the preimage and its corresponding point on the image are the same distance from the line. • If a point is on the line of reflection, then image and preimage are the same point • If a point is not on the line of reflection, Reflection in a line then the line of reflection is the perpendicular bisector of the line joining corresponding points in the image and preimage.

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

Add to Notes! X = # (A NUMBER) IS A VERTICAL LINE Y = # (A NUMBER) IS A HORIZONTAL LINE

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

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.

Brain Break! • You may stand or remain seated for this activity. • Move your right foot in a clockwise circle, • Simultaneously, with your right pointer finger, write the number 6 in the air. • Repeat this pattern several times and then switch to the other foot and hand. • Try reversing the motions to counterclockwise and the number 9.

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)

Homework: 9. 1 Worksheet

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