Q:

PLEASE PLEASE HELP ME WILL AWARD BRAINLIEST

Accepted Solution

A:
Answer:So the three new vertices are (0,0)  , (-1,-0) , and (-1,3)Step-by-step explanation:So let's pick a point on the triangle like (-3,-1).The center point of dilation is (3,1).  The horizontal distance that (3,1) is from (-3,-1) is 3-(-3)=6. The scale factor is 0.5 so multiply 0.5 to the horizontal distance which is 3. The vertical distance that (-3,-1) is from (3,1) is 1-(-1)=2. The scale factor is 0.5 so multiply 2 and 0.5 giving you 1.So this means the image of the point (-3,-1) is going to be at: starting from center (3,1) move left 3 and down 1 and you are at (0,0).Or if you prefer just use a formula (k(x-a)+a,k(y-b)+b)(x,y) is a point on the triangle (a,b) is the center=(3,1)k is the scale factor=.5So let's do this formula to the other two points...(x,y)=(-5,-1)(.5(-5-3)+3,.5(-1-1)+1)(.5(-8)+3,.5(-2)+1)(-4+3,-1+1)(-1,0)Last point (x,y)=(-5,5)(.5(-5-3)+3,.5(5-1)+1)(.5(-8)+3,.5(4)+1)(-1,3)So the three new vertices are (0,0)  , (-1,-0) , and (-1,3)