Delta ABC has vertices A0 0 B5 1 and C3 7 What are the verti

Delta ABC has vertices A(0, 0), B(5, -1), and C(3, 7). What are the vertices of the resulting image when the triangle is translated 4 units to the left then dilated by a scale factor of 2?

Solution

First we will find the vertices of the triangle after it is translated by 4 units on the left side. For this translation, the x-cordinates of all points will be reduced by 4 units.

A\' = (0-4,0) = (-4,0)

B\' = (5-4,-1) = (1,-1)

C\' = (3-4,7) = (-1,7)

Now for the dilation by a scale factor of 2, both the x and y cordinates will be multiplied by 2.

A\'\' = (-4*2,0*2) = (-8,0)

B\'\' = (1*2,-1*2) = (2,-2)

C\'\' = (-1*2,7*2) = (-2,14)

Hence the vertices of the resulting image would be ,

A (-8,0) , B(2,-2) and C(-2,14)