Question

Charlotte is creating a triangular pennant with geometry software.

The base measure of the pennant on screen is 550 pixels. The height

is 275 pixels. Charlotte resizes the pennant, keeping the aspect ratio

constant, so the height is 165 pixels. What is the scale factor of the

dilation? What is the base of the pennant?


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pls help T-T

Answer 1

Base of the Pennant = 330 pixels

Scale Factor =0.6

Explanation:

The base measure of the pennant on screen is 550 pixels.

The height is 275 pixels.

`A$spect Ratio=(Base)/(Height)=(550)/(275) =2:1`

If Charlotte resizes the pennant, keeping the aspect ratio constant.

Height = 165 pixels

Therefore:

`(Base)/(165)=(2)/(1) \\\\$Base= 2 *165 =330`

Therefore, the scale factor of the dilation
`=(330)/(550)= (165)/(275)=0.6`

Base of the Pennant = 330 pixels

Scale Factor =0.6