Question

Help please :) ! The dashed triangle is the image of the pre-image solid triangle. What is the scale factor used to create the dilation? Enter your answer in the box.

Answer 1

Ans : -3. Explanation : Looking at the figure and its image, three things are immediately obvious..... The image is bigger The image is inverted. The figure and the image have a common point. The common point is the centre of dilation. (â’4, â’4) The fact that it lies BETWEEN the image and the figure means that the SF is a negative number. This accounts for the fact that the image is inverted. To find the Scale Factor divide a side in the image the same side in the figure Looking at the horizontal lines we see.. a side in the image the same side in the figure =â’6/2=â’3

Answer 2

Let

x---------> measure of the base of the triangle of the image

y---------> measure of the base of the triangle of the pre-image

sf-------> the scale factor

we know that

the scale factor is equal to

$sf=\frac{x}{y}$

in this problem we have

$x=6\ units\\y=3\ units$

Find the scale factor

substitute the values of x and y in the formula above

$sf=\frac{6}{3}=2$

therefore

the answer is

the scale factor is equal to $2$