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)
2 answers:
Answer:
(-5,3) (-5,1)
Step-by-step explanation:
Answer:
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
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