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

(1 point)
Responses

H
𝐻
is at (13,6)
(
13
,
6
)
.
upper H is at left parenthesis 13 comma 6 right parenthesis .

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

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

H
𝐻
is at (−2,0)
(
−
2
,
0
)
.

Answer 1

Vector DF = (8−3, 4−2) = (5,2). Scaling by 2 gives (10,4). Add to D: H = (3+10, 2+4) = (13,6). So H is (13, 6).