Question

The triangle below is reflected about the x-axis, and then rotated 180° counterclockwise about the origin. What are the coordinates of the image of vertex B after both transformations? у 10 18 B6, 6) ✓ 16 14 A C (10, 3) 24, 3) Exhibits -10 -8 -6 -4 -2 2 4 6 8 10 NO +4+ +6 +8 8 -10

Answer 1

Vertex B is (6,6)

This point will go through two transformations:

• reflection, about x axis

,

• rotation, of 180 degrees counterclockwise

• First, ,reflection about x axis,:

If we have a point (x, y), the x-axis reflected point will have coordinate (x, -y). We leave the x coordinate as is and negate the y coordinate.

Thus, (6, 6) will becomes (6, -6).

• Secondly, we have ,counter-clockwise rotation of 180 degrees,:

If we have a point (x,y), the 180 degree counterclockwise rotated point will be (-x, -y). We negate both x and y coordinate.

Thus, (6, -6) will becomes (-6, 6).

The final vertex B would be (-6, 6).