Question

During geometry class, students are told that ΔTSR ≅ ΔUSV. Marcus states that ΔTSR is mapped to ΔUSV by performing a rotation about point S. Sam states that ΔTSR is mapped to ΔUSV by a reflection across the line that goes through point S. Determine if either student is correct. Marcus is correct. Sam is correct. Both students are correct. Neither student is correct.

Answer 1

Answer: Both students are correct.

Explanation:

In rotation a shape is rotated about a fixed point and it does not affect its measurements. it only changes its position.

Now, When Marcus rotated the $\triangle TSR$  about point S then this process did not affect its shape and size this is why he got the $\triangle USV$ which is congruent to the $\triangle TSR$.

In reflection, when a shape reflected across a line then its all points get reflected across this line. But it also does not affect the measurement of the shape.

So, when Sam mapped $\triangle USV$ by the reflection of $\triangle TSR$ then the measurement of the $\triangle USV$ did not change. And, he also got the congruent triangle.

Thus, we can say that, Both Marcus and Sam are right.

Answer 2

(A) is the answer ik this because i got it right on mine