1 / 9

# Dilations - PowerPoint PPT Presentation

Dilations. Vocabulary. Dilation: The image created by enlarging or reducing a figure. Center: The center of a dilation is a fixed point used for measurement when altering the size of the figure.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' Dilations' - amergin-hone

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Dilations

• Dilation: The image created by enlarging or reducing a figure.

• Center: The center of a dilation is a fixed point used for measurement when altering the size of the figure.

• Enlargement: An image that is larger than the original figure. An enlargement has a scale factor greater than 1.

• Reduction: An image that is smaller than the original figure. A reduction has a scale factor between 0 and 1

Examples corresponding angles are congruent and corresponding sides are proportional.

Graph JKL with vertices

J (3,8), K (10,6), and L (8,2). Then graph its image J’K’L’ after a dilation with a scale factor of ½.

Find and Classify a Scale Factor dilation with each scale factor. Then graph JKL and J’K’L’.

• Quadrilateral V’Z’X’W’ is a dilation of quadrilateral VZXW. Find the scale factor of the dilation, and classify it as an enlargement or a reduction.

Graph V’Z’X’W’ Graph VZXW

V’ (-5, 5) V (-2,2)

Z’ (-2.5, 7.5) Z (-1, 3)

X’ (2.5, 6) X (1, 2.5)

W’ (5, 2.5) W (2, 1)

• Our scale factor is 5/2 the DILATION to the x- or y-coordinate of the CORRESPONDING vertex of the original figure.

• Based on our scale factor our image is an enlargement since 5/2 is greater than 1.

• Remember 5/2 is an improper fraction so if we change this into a mixed number we get 2.5

Carleta’s optometrist dilates her pupils by a factor of 5/3. if her pupil before dilation has a diameter of 5 milimeters, find the new diameter after her pupil is dilated