Respuesta :
Given a point on the xy-plane, a refrection across the y axis will change the sign of the x-value of the point.
For example, given a point (x, y) on the xy-plane, a refrection across the y-axis will transform the point to (-x, y)
Thus, give a triangle ABC with vertices A(–3, 5), B(–2, 2), and C(–4, 3), reflected across the y-axis, the image of the triangle will have vertices which will have the signs on the x-values of the original triangle changed.
Thus, the vertices of the image will be A'(3, 5), B'(2, 2), and C'(4, 3).
Therefore, given that a student determined one of the vertices on the image to be (2, 2). It can be seen that the student performed the refrection correctly.
For example, given a point (x, y) on the xy-plane, a refrection across the y-axis will transform the point to (-x, y)
Thus, give a triangle ABC with vertices A(–3, 5), B(–2, 2), and C(–4, 3), reflected across the y-axis, the image of the triangle will have vertices which will have the signs on the x-values of the original triangle changed.
Thus, the vertices of the image will be A'(3, 5), B'(2, 2), and C'(4, 3).
Therefore, given that a student determined one of the vertices on the image to be (2, 2). It can be seen that the student performed the refrection correctly.
Answer: A. The student performed the reflection correctly.
Step-by-step explanation: