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)

Question

Mathematics

Houston Valdez

24 January, 11:45

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)

+3

Answers (2)

Know the Answer?

Janelle Zamora · Answer 1

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

Stephanie Dodson · Answer 2

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

Step-by-step 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

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 thecoordinates 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)

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)