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.

Question

26-04-2022
Mathematics

contestada

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.

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shubhamchouhanvrVT shubhamchouhanvrVT · Answer 1 · 2022-04-27T14:22:25+02:00

Transformation involves changing the position of a shape through translation, dilation, rotation and reflection.Marcus's claim is correct.

What is transformation?

A process by which one figure, expression, or function is converted into another one of similar value.

The triangles are given as: ΔTSR and ΔUSV

By comparison, we can see that point S is on both triangles, and this point on both triangles corresponds.

So, to map ΔTSR to ΔUSV, then ΔTSR must be rotated about point S to ΔUSV or rotate ΔUSV about point S to ΔTSR.

Hence, Marcus is correct, and Sam is not.