Question

The vertices of triangle ABC are A(5,2), B(-1,-6) and C(1,5). If Triangle DEF is similar to Triangle ABC and AB/DE=5, what could be the

coordinates of vertices D and E?

D(-42) and E(-4,-1)
D(-3,-1) and E(-1,1)
D(-5,3) and E(-5,1)
D(-2,-2) and E(2,0)

Answer 1

(-5,3) (-5,1)

Explanation:

Answer 2

D(-5,3) and E(-5,1)

Explanation:

|AB|² = (-1-5)² + (-6-2)²

|AB|² = 36 + 64

|AB|² = 100

|AB| = 10

AB/DE = 5

|DE| = 10/5 = 2

D(-5,3) and E(-5,1)

|DE|² = (-5+5)² + (3-1)²

|DE|² = 4

|DE| = 2

Verified