Question

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

ΔABC
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
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 negative 2 and is reflected across the y -axis.

ΔABC
is dilated by a scale factor of 14
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
is dilated by a scale factor of 12
and is reflected across the x-axis.
triangle upper A upper B upper C is dilated by a scale factor of Start Fraction 1 over 2 End Fraction and is reflected across the x -axis.

Answer 1

ΔABC is dilated by a scale factor of 2 (about the origin) and then reflected across the y‑axis.

Check: A(0,3)→(0,6)=D, B(0,1)→(0,2)=E, C(−4,2)→(−8,4) and reflecting across the y‑axis gives (8,4)=F.