Geometry 9 5 changing dimensions proportionally
Download
1 / 6

Geometry 9-5 Changing Dimensions (Proportionally) - PowerPoint PPT Presentation


  • 115 Views
  • Uploaded on

Geometry 9-5 Changing Dimensions (Proportionally). If you change each dimension of a figure, the figure will be similar only larger or smaller. 8 in. Divide each dimension by 3. 3 in. 5 in. 15 in. Double each dimension. 4 in. 16 in. 6 in. 12 in. Area and Perimeter.

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

PowerPoint Slideshow about ' Geometry 9-5 Changing Dimensions (Proportionally)' - vanya


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
Geometry 9 5 changing dimensions proportionally
Geometry 9-5 Changing Dimensions (Proportionally)

If you change each dimension of a figure, the figure will be similar only larger or smaller.

8 in

Divide each dimension by 3

3 in

5 in

15 in

Double each dimension

4 in

16 in

6 in

12 in


Area and perimeter
Area and Perimeter

What is the effect on area and perimeter?

Ex) triple each dimension of rectangle

15 in

5 in

2 in

6 in


Shortcut
Shortcut?

The effect on the area can be found by multiplying the changes in each dimension.

The effect on the perimeter is the same as the change for each dimension (only if each dimension is changed by the same factor)


Example
Example

If both diagonals of a rhombus are doubled, what is the effect on the area and perimeter?

If each dimension of a triangle is divided by 3, what is the effect on the area and perimeter?

Area: 2 x 2 = multiplied by 4

Perimeter: multiplied by 2

Area: x = multiplied by

Perimeter: multiplied by


Example1
Example

The dimensions of a triangle are changed proportionally such that its area changes by a factor of . How were the dimensions changed?

Area: x = , so the dimensions were multiplied by


Special case circles
Special Case: Circles

The formula for circles only uses one variable, r.

However, the radius represents both the “base” and the “height” of a circle.

Ex) If the radius of a circle is doubled, then the…

area is _________

perimeter is ________

r

quadrupled

r

doubled


ad