Download presentation

Published byVanessa Washington Modified over 4 years ago

1
**Algebra 1 Notes Lesson 4-2: Transformations on the Coordinate Plane**

2
**Mathematics Standards**

Number, Number Sense and Operations: Demonstrate fluency in computations using real numbers. Geometry and Spatial Sense: Identify the reflection and rotation symmetries of two- and three-dimensional geometric figures. Geometry and Spatial Sense: Perform reflections and rotation using compass and straightedge constructions and dynamic geometry software.

3
**Mathematics Standards**

Geometry and Spatial Sense: Derive coordinate rules for translations, reflections and rotations of geometric figures in the coordinate plane. Geometry and Spatial Sense: Show and describe the results of combinations of translations, reflections and rotations (compositions). Geometry and Spatial Sense: Analyze two-dimensional figures in a coordinate plane.

4
**Vocabulary Transformation – Movement of figures**

Preimage –image before a transformation Image – Image after a transformation

5
**We will always flip figures over the x-axis or y-axis**

Reflection A figure is flipped over a line. We will always flip figures over the x-axis or y-axis

6
**Translation A figure is slid in any direction.**

To translate a point by an ordered pair (a, b), add a to the x-coordinate and b to the y-coordinate. You can also count on a graph.

7
**Dilation A figure is enlarged or reduced.**

To dilate a figure by a scale factor k, multiply both coordinates by k. If k > 1, the figure is enlarged. If k < 1, the figure is reduced.

8
**Rotation A figure is turned around a point.**

To rotate a figure 90º counterclockwise about the origin, switch the coordinates of each point and then multiply the new first coordinate by -1. To rotate a figure 180º about the origin, multiply both coordinates of each point by -1.

9
Example 1 Identify each transformation. a)

10
Example 1 Identify each transformation. a) translation b) dilation

11
Begin Walkthrough

Similar presentations

© 2019 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google