Question

Reflect ABC in the y-axis to form ABC'''.

A) ABC''' is congruent to ABC
B) ABC''' is the same as ABC but flipped across the y-axis
C) ABC''' is rotated 90 degrees counterclockwise relative to ABC
D) ABC''' is rotated 90 degrees clockwise relative to ABC

Answer 1

Triangle ABC reflected across the y-axis results in a congruent triangle ABC''' that is a mirror image flipped across the axis, not a rotated shape.

Step-by-step explanation:

When reflecting a geometric shape such as triangle ABC across the y-axis, the shape is mirrored over the axis. This means the x-coordinates of the vertices of triangle ABC will have their signs reversed, while the y-coordinates will remain the same. This transformation results in a figure that is congruent to the original: option A) ABC''' is congruent to ABC. In addition, this reflected triangle is option B) the same as ABC but flipped across the y-axis, not rotated. Rotations would involve the shape turning around a point in a circular path, not flipping over a line.