Presentation is loading. Please wait.

Presentation is loading. Please wait.

Graph dilations on a coordinate plane.

Similar presentations


Presentation on theme: "Graph dilations on a coordinate plane."— Presentation transcript:

1 Graph dilations on a coordinate plane.
center enlargement reduction coordinate plane coordinates point of origin Lesson 6 MI/Vocab

2 Draw a Dilation Copy polygon PQRS on graph paper. Then draw the image of the figure after a dilation with center S by a scale factor of Lesson 6 Ex1

3 Step 1 Use segment SP to locate point P'.
Draw a Dilation Step 1 Use segment SP to locate point P'. Step 2 Step 3 Repeat Steps 1 and 2 for points Q' and R'. Be sure to draw segment SQ before locating point Q'. Then draw polygon P' Q' R' S', where S = S'. Lesson 6 Ex1

4 Copy polygon ABCD on graph paper
Copy polygon ABCD on graph paper. Then draw the image of the figure after a dilation with center A by a scale factor of 2. Lesson 6 CYP1

5 Graph a Dilation Graph triangle DEF with vertices of D(-6, 6), E(-2, 6) and F(-4, 2).The graph its image Triangle D’E’F’ after a dilation with a scale factor of 1/2. Lesson 6 Ex2

6 Graph a Dilation Lesson 6 Ex2

7 Graph a Dilation Answer:
Check Draw lines through the origin and each of the vertices of the original figure. The vertices of the dilation should lie on those same lines. Lesson 6 Ex2

8 Interactive Lab: Dilations
Answer: Interactive Lab: Dilations Lesson 6 Ex2

9 Find and Classify a Scale Factor
In the figure, segment X′Y′ is a dilation of segment XY. Find the scale factor of the dilation, and classify it as an enlargement or as a reduction. Lesson 6 Ex3

10 Find and Classify a Scale Factor
Write a ratio of the x- or y-coordinate of one vertex of the dilation to the x- or y-coordinate of the corresponding vertex of the original figure. Use the y-coordinates of X(–4, 2) and X'(–2, 1). Answer: Lesson 6 Ex3

11 In the figure, segment A′B′ is a dilation of segment AB
In the figure, segment A′B′ is a dilation of segment AB. Find the scale factor of the dilation, and classify it as an enlargement or as a reduction. A B C D Lesson 6 CYP3

12 Let a represent the size of the pupil after dilation.
The size of the pupil after dilation is the size of the pupil before dilation. Words Variable Let a represent the size of the pupil after dilation. Equation Lesson 6 Ex4

13 Answer: His pupil will be 9 millimeters in diameter once dilated.
Write the equation. Multiply. Answer: His pupil will be 9 millimeters in diameter once dilated. Lesson 6 Ex4

14 A. 10 mm B. 11 mm C. 12 mm D. 14 mm A B C D Lesson 6 CYP4


Download ppt "Graph dilations on a coordinate plane."

Similar presentations


Ads by Google