Question

Question: Consider $\triangle ABC$, with vertices $A(0, 3)$, $B(0, 1)$, and $C(-4, 2)$, and $\triangle DEF$, 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)Multiple Choice Options (Responses)( ) $\triangle ABC$ is dilated by a scale factor of $\frac{1}{4}$ and is reflected across the $y$-axis.( ) $\triangle ABC$ is dilated by a scale factor of $2$ and is reflected across the $y$-axis.( ) $\triangle ABC$ is dilated by a scale factor of $\frac{1}{2}$ and is reflected across the $x$-axis.( ) $\triangle ABC$ is dilated by a scale factor of $-2$ and is reflected across the $y$-axis.

Answer 1

Answer: the second choice.

Reason: Dilate by 2 about the origin: A(0,3)->(0,6), B(0,1)->(0,2), C(-4,2)->(-8,4). Then reflect across the y-axis: (-8,4)->(8,4). This gives D(0,6), E(0,2), F(8,4).