Will mark brainliest! ! triangle pqr is transformed to triangle p'q'r'. triangle pqr has vertices p(4, 0), q(0, −4), and r(−8, −4). triangle p'q'r' has vertices p'(1, 0), q'(0, −1), and r'(−2, −1). plot triangles pqr and p'q'r' on your own coordinate grid. part a: what is the scale factor of the dilation that transforms triangle pqr to triangle p'q'r'? explain your answer. part b: write the coordinates of triangle p"q"r" obtained after p'q'r' is reflected about the y-axis. part c: are the two triangles pqr and p''q''r'' congruent? explain your answer.

Given: The vertices of triangle has P(4, 0) , Q(0, -4) and R(-8, -4).

and the vertices of has , and .

Dilation means the transformation that produces an image that is the same shape as the original, but of  different size.

A)

We can say that triangle is transformed onto triangle by a dilation with center at O.

Scale factor = = or 0.25

because, , and

.

B)

To find the coordinate of triangle Obtained after is reflected about the y- axis i.e,

Therefore, we have

and

The coordinates of P''(-1,0) , Q''(0,-1) and R''(2,-1).

C)   No, they are not congruent ,

Distance formula: It is used to find the distance between the two points.

Using  above Distance formula: In triangle

Distance between and be,

= ,

Distance between Q(0, -4) and R(-8, -4) be 8 ,

Distance between P(4, 0) and R(-8 , -4) be

Similarly, for the triangle using distance formula we have ,

Distance between P"(-1 ,0) and Q''(0 , -1) be ,

Distance between Q''(0, -1) and R"(2 , -1) be 2 and

Distance between P"(-1, 0) and R"(2,-1) be

As you can see above the sides of the triangle and  the  sides of the triangle are not equal.

Therefore, these triangles are not congruent as they don't have the same sides.