Question

GEOMETRY HELP PLEASE!!! FAST!!!

A sequence of transformations that maps △ABC to △A′B′C′

A: (-4,3) B: (-1,3) C: (-2,1)

A': (-1,-4) B': (-1,-1) C': (1,-2)

Pick Two:

Rotation of 90° counterclockwise about the origin

Translation 2 units right

Reflection across the y - axis

Rotation of 180° about the origin

Answer 1

The correct answer is:

Rotation of 90° counterclockwise about the origin and a translation 2 units right

Step-by-step explanation:

A rotation 90° counterclockwise maps each point (x, y) to (-y, x). This means our points would be:

A(-4,3)→(-3, 4); B(-1,3)→(-3, -1); C(-2,1)→(-1, -2)

A translation 2 units right will add 2 units to the new x-coordinates; this gives us

(-3, 4)→(-1, 4); (-3, -1)→(-1, -1); and (-1, -2)→(1, -2)

These are the points in the image, so this is the correct set of transformations.