We get the coordinates of D' as (5, -10).
We have a triangle BCD.
We are given the coordinates as:
B(-4,-2) C(0, 2), and D(2, -4)
we will first find the distance between the points to get the sides of the triangle.
BC² = ( 0 + 4)² + (2 + 2)²
BC² = 16 + 16
BC = 4√2
CD² = (2 - 0)² + (-4 - 2)²
CD² = 4 + 36
CD = 2√10
BD² = (2 + 4)² + ( -4 + 2)²
BD² = 36 + 4
BD = 2√10
Now, we use a scale factor of 5 / 2.
So he coordinates of D' will be:
D' = ( 2 × 5 / 2 , -4 × 5 / 2 )
D' =( 5, -10)
Therefore, we get the coordinates of D' as (5, -10).
Learn more about coordinates here:
brainly.com/question/12959377
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