Download presentation

Presentation is loading. Please wait.

Published byAshton Dwyer Modified over 3 years ago

1
**Lesson 4.2- Transformations on the Coordinate Plane, pg. 197**

Objectives: To transform figures by using reflections, translations, dilations, and rotations. To transform figures on a coordinate plane by using reflections, translations, dilations, and rotations.

2
**Vocabulary Transformations: movements of geometric figures.**

Pre-image: the position of the figure before the transformation. Image: the position of the figure after the transformation.

3
**Transformations on the Coordinate Plane**

Reflection- the figure is flipped over a line. Reflection over the x-axis: (x, y) (x, -y) Reflection over the y-axis: (x, y) (-x, y)

4
**Translation: a figure is slid in any direction.**

(x, y) (x + a, y + b)

5
**Dilation: a figure is enlarged or reduced.**

(x, y) (kx, ky)

6
**Rotation: a figure is turned around a point.**

(x, y) (-y, x) 180° rotation: (x, y) (-x, -y)

7
**Ex. 1: Identify each transformation as a reflection, translation, dilation, or rotation.**

b) Translation c) Rotation

8
d) Reflection

9
**Ex. 2: A trapezoid has vertices W(-1, 4) X(4, 4), Y(4, 1), and Z(-3, 1)**

A trapezoid is reflected over the y-axis. Find the coordinates of the image. Graph the trapezoid WXYZ and its image W’X’Y’Z’

10
**Ex. 3: Triangle ABC has vertices A(-2,1), B(2, 4) and C(1,1)**

Find the coordinates of the vertices of the image if it is translated 3 units to the right and 5 units down. Graph the triangle ABC and its image.

11
**Ex. 4: A trapezoid has vertices E(-1, 2), F(2, 1), G(2, -1), and H(-1, -2)**

Find the coordinates of the dilated trapezoid E’F’G’H’ if the scale factor is 2. Graph the pre-image and its image.

12
**SUMMARY Reflection- the figure is flipped over a line.**

Translation: a figure is slid in any direction. Dilation: a figure is enlarged or reduced Rotation: a figure is turned around a point. Skills Practice Workbook, Lesson 4.2

Similar presentations

Presentation is loading. Please wait....

OK

Transformation in Geometry Created by Ms. O. Strachan.

Transformation in Geometry Created by Ms. O. Strachan.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on obesity and nutrition Ppt on indian retail industry 2010 Ppt on intelligent manufacturing solution Ppt on production process of asian paints Ppt on business ethics and social responsibility Ppt on id ego superego Ppt on leverages Ppt on as 14 amalgamation and capital Ppt on happy diwali Ppt on chapter 3 atoms and molecules activities