Question

Which figure shows a reflection of pre-image ABC over the y-axis?

Two right triangles graphed on a grid. Right triangle A B C, with right angle C, is in Quadrant One. Right triangle A-prime, B-prime, C-prime, with right angle C-prime, is in Quadrant Two. The coordinates of triangle A B C are A (one, one), B (three, four), and C (three, one). The coordinates of triangle A-prime, B-prime, C-prime are A-prime (negative one, one), B-prime (negative three, four), and C-prime (negative three, one).

Two right triangles graphed on a grid. Right triangle A B C, with right angle C, is in Quadrant One. Right triangle A-prime, B-prime, C-prime, with right angle C-prime, is in Quadrant Three. The coordinates of triangle A B C are A (one, one), B (three, four), and C (three, one). The coordinates of triangle A-prime, B-prime, C-prime are A-prime (negative one, negative one), B-prime (negative three, negative four), and C-prime (negative three, negative one).

Two right triangles graphed on a grid. Right triangle A B C, with right angle C, is in Quadrant One. Right triangle A-prime, B-prime, C-prime, with right angle C-prime, is in Quadrant Four. The coordinates of triangle A B C are A (one, one), B (three, four), and C (three, one). The coordinates of triangle A-prime, B-prime, C-prime are A-prime (one, negative one), B-prime (three, negative four), and C-prime (three, negative one).

Answer 1

The figure that shows a reflection of pre-image ABC over the y-axis is the third figure.

How to depict the figure?

From the complete information, the triangle ABC is reflected over the y axis.

The vertices of the triangle are A(1, 1), B(3, 4) and C(3, 1). The vertices of the images are A(1, 1) = A'(-1, 1). B(3, 4) = B(-3, 4) ans C(3, 1) = C'(-3, 1).

In conclusion, the figure that shows a reflection of pre-image ABC over the y-axis is the third figure.

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