Question

The coordinates of points upper D and upper F are as follows: upper D at left parenthesis 3 comma 2 right parenthesis and upper F at left parenthesis 8 comma 4 right parenthesis.


Find point H
to prove that DH¯¯¯¯¯¯¯¯¯
is an enlargement of DF¯¯¯¯¯¯¯¯
by a scale factor of 2 with point D
as the center of dilation.

(1 point)
Responses

H
is at (8,18)
.
upper H is at left parenthesis 8 comma 18 right parenthesis .

H
is at (−2,0)
.
upper H is at left parenthesis negative 2 comma 0 right parenthesis .

H
is at (5.5,3)
.
upper H is at left parenthesis 5.5 comma 3 right parenthesis .

H
is at (13,6)
.

Answer 1

H = (13, 6)

Reason: DF = (8−3, 4−2) = (5,2). Enlarging by factor 2 from D gives DH = 2(5,2) = (10,4), so H = D + (10,4) = (3+10, 2+4) = (13,6).