7. Draw the dilation of ADEF by a scale factor -with center of dilation at (0, 0). Then, determine the ratio of the perimeter of the dilated to the original and mzD' if mLE = 18.5° and m2F = 135°. Ratio of perimeters: D(1,2) E(4, 1) F(2, 1) mLD'=

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Chapter11: Rational And Irrational Numbers
Section11.5: Square Roots Of Variable Expressions
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7. Draw the dilation of ADEF by a scale factor - with
center of dilation at (0, 0). Then, determine the ratio
of the perimeter of the dilated to the original and mLD' if
mLE = 18.5° and m2F = 135°.
-5-
Ratio of perimeters:
D(1,2)
E(4, 1)
mLD'=
F(2, 1)
x+5 if it has been dilated by a factor of 4 with
Transcribed Image Text:7. Draw the dilation of ADEF by a scale factor - with center of dilation at (0, 0). Then, determine the ratio of the perimeter of the dilated to the original and mLD' if mLE = 18.5° and m2F = 135°. -5- Ratio of perimeters: D(1,2) E(4, 1) mLD'= F(2, 1) x+5 if it has been dilated by a factor of 4 with
Expert Solution
Step 1

If a triangle is dilated by a scale factor k with the center of dilation at the origin, i.e., (0,0), then the dilation is given by

(x,y)(kx,ky)

Perimeter of the dialated figurePerimeter of the original figure=side of the dialated figureCorresponding side of the original figure=k              ...(i)

The dilated figure is similar to the original figure.

We know that the corresponding angles of similar figures are congruent.

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

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