Question

Triangle ABC with vertices A(–3, 5), B(–2, 2), and C(–4, 3), is reflected across the y-axis. A student determined one of the the vertices on the image to be (2, 2). Evaluate the student's answer.
A. The student performed the reflection correctly.
B.The student incorrectly reflected across the x-axis.
C.The student incorrectly reflected across the line y = x.
D.The student incorrectly reflected across the line x = 2.

Answer 1

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.

Answer 2

Answer: A. The student performed the reflection correctly.

Step-by-step explanation: