Question

Consider ΔABC
Δ
𝐴
𝐵
𝐶
, with vertices A(0,3)
𝐴
(
0
,
3
)
, B(0,1)
𝐵
(
0
,
1
)
, and C(−4,2)
𝐶
(
−
4
,
2
)
, and ΔDEF
Δ
𝐷
𝐸
𝐹
, with vertices D(0,6)
𝐷
(
0
,
6
)
, E(0,2)
𝐸
(
0
,
2
)
, and F(8,4)
𝐹
(
8
,
4
)
. Which transformations could be used to show that the triangles are similar?(1 point)
Responses

ΔABC
Δ
𝐴
𝐵
𝐶
is dilated by a scale factor of 14
1
4
and is reflected across the y-axis.
triangle upper A upper B upper C is dilated by a scale factor of Start Fraction 1 over 4 End Fraction and is reflected across the y -axis.

ΔABC
Δ
𝐴
𝐵
𝐶
is dilated by a scale factor of 2 and is reflected across the y-axis.
triangle upper A upper B upper C is dilated by a scale factor of 2 and is reflected across the y -axis.

ΔABC
Δ
𝐴
𝐵
𝐶
is dilated by a scale factor of 12
1
2
and is reflected across the x-axis.
triangle upper A upper B upper C is dilated by a scale factor of Start Fract

Answer 1

ΔABC can be dilated by a factor of 2 about the origin and then reflected across the y‑axis (or reflected first and then dilated).
Check: A(0,3) → (0,6)=D, B(0,1) → (0,2)=E, C(−4,2) → (−8,4) → (8,4)=F. Hence the triangles are similar.