Triangles ABC and XYZ are shown below. A student knows that AX and 2cm 22. The student claims that AABC is similar to AXYZ
Determine whether each statement below can be used as part of a justification for the claim that ABC is similar to AXYZ Select Yes or No for each statement.
Yes No
AC
A dilation of AABC by scale factor k =
through center results in A4'B'C where A'C = XZ
Triangle A'B'C, which results from a dilation of ABC such that A'c = XZ, is congruent to AXY2 by Angie-Side-Angle (ASA) O
There exists a sequence of rigid transformations and dilations that carries A4BC to AXYZ, so it follows that AABC is similar to AXYZ OO