Dilate ∆ABC about the origin using the scale factor n. Measure and compare the lengths of the sides of the dilated triangle, ∆A'

Question

2 years ago

11

B'C', with those of ∆DEF. Take a screenshot of your dilation, save it, and insert the image below the table.

1 answer:

sleet_krkn [62] · Answer 1 · 2023-08-23T03:49:53+03:00

The attached graph represents the image of the triangles

<h3>How to dilate the triangle?</h3>

To do this, we make use of the following coordinates

A = (1, 0)

B = (5, 0)

C = (1, 6)

The lengths of the triangle are calculated using

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2$

So, we have:

$AB = \sqrt{(1-5)^2 + (0 -0)^2} = 4$

$BC = \sqrt{(1-5)^2 + (6 -0)^2} = 7.2$

$AC = \sqrt{(1-1)^2 + (6 -0)^2} = 5$

Using the scale factor of 2, we have the image of the dilation to be:

D = (2, 0)

E = (10, 0)

F = (2, 12)

The lengths of these sides are

DE = 8

EF = 14.4

DF = 10

See attachment for the image of the triangles ABC and DEF