Question

A - Dobrowolski - 23-24

During geometry class, students are told that ATSR
AUSV. Marcus states that ATSR is mapped to AUSV
by performing a rotation about point S. Sam states that
ATSR is mapped to AUSV by a reflection across the line
that goes through point S. Determine if either student is
correct.
O Marcus is correct.
O Sam is correct.
O Both students are correct.
ONeither student is correct.

Answer 1

Neither student is correct.

Step-by-step explanation:

The correct answer is:

Neither student is correct.

A rotation about a point is a transformation in which a figure is rotated around a fixed point. A reflection across a line is a transformation in which a figure is flipped across a line of reflection. The given statement states that ATSR is mapped to AUSV. In order for Marcus to be correct, there must be a rotation about point S that maps ATSR to AUSV. However, this is not possible because AU and SV are parallel and do not intersect at point S.

Similarly, for Sam to be correct, there must be a reflection across a line that goes through point S that maps ATSR to AUSV. However, this is also not possible because SR and SV are not congruent. Therefore, neither student is correct.

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