Question

A)
Consider
, with vertices
,
, and
, and
, with vertices
,
, and
. Which transformations could be used to show that the triangles aresimilar?
(1 point)
ΔABC A(0, 3) B(0, 1) C (−4, 2) ΔDEF
D(0, 6) E(0, 2) F (8, 4)
is dilated by a scale ΔABC factor of 1 and is reflected across the x-axis.
2
ΔABC is dilated by a scale factor of −2 and is reflected across the y-axis.
ΔABC is dilated by a scale factor of 2 and is reflected across the y-axis.
ΔABC is dilated by a scale factor of 1/4 and is reflected across the y-axis

Answer 1

ΔABC is dilated by a scale factor of 2 and then reflected across the y-axis.

Reason: Reflecting across the y-axis sends C(−4,2) → (4,2) (A and B stay on the y-axis). Dilating by 2 about the origin then gives A(0,3) → (0,6)=D, B(0,1) → (0,2)=E, and (4,2) → (8,4)=F.