Download presentation

Presentation is loading. Please wait.

Published byAmanda Murphy Modified over 6 years ago

1
TRANSFORMATIONS Objective: To identify isometries To find reflection images of figures

2
Translation RotationDilation A reflection produces a mirror image of a figure along a line of reflection. A translation moves every point on a figure the same distance in the same direction. A rotation turns a shape about a fixed point. To perform a rotation, three details are needed: 1) The center 2) The angle of rotation and 3) The direction of rotation A transformation is a general term for four specific ways to manipulate the shape of a point, a line, or shape.

3
IMPORTANT TERMS Isometry - A transformation that does not change the shape or size of a figure. In other words, it preserves lengths, angle measures, parallel lines, and distance between points. Pre-image - the figure prior to the transformation Image – the figure after the translation

4
TRANSLATIONS-SLIDE! To translate a shape every point must move: the same distance In the same direction

5
EXAMPLE #1

6
ROTATIONS-TURN! "Rotation" means turning around a center. The distance from the center to any point on the shape stays the same Go counter-clockwise COUNTER CLOCKWISE PREIMAGE [Before] IMAGE [After]

7
EXAMPLE #2

8
REFLECTIONS-FLIP! A reflection is a transformation in which the figure is the mirror image of the other. Notice that in each case, the pre-image is always the same distance away from the line of reflection as the image. Very important!

9
LINES OF SYMMETRY

10
EXAMPLE #3

11
DILATIONS-GROW OR SHRINK! A dilation enlarges or reduces the size of a shape; this is why the pre-image and image of a dilation are not congruent, but similar. Every dilation has a center point and a scale factor.

12
EXAMPLE #4

Similar presentations

© 2022 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