Question

How can I find the rule that describes the transformation?

A) Reflection acrossy=1
B) 90° counterclockwise about the origin
C) Rotation 90° clockwise about the origin
D) Rotation 180° about the origin

Answer 1

To determine the rule that describes the transformation, analyze each option and see which transformation matches the given description. The correct rule that describes the transformation is 90° counterclockwise about the origin.

Step-by-step explanation:

To determine the rule that describes the transformation, we need to analyze each option and see which transformation matches the given description.

1. Reflection across y=1: This transformation flips the image across the line y=1. The rule for reflection across the line y=k is (x,y) → (x, 2k-y). Therefore, the rule for this transformation is (x,y) → (x, 2-1-y) = (x, 1-y).
2. 90° counterclockwise about the origin: This transformation rotates the image 90° counterclockwise. The rule for a 90° counterclockwise rotation about the origin is (x,y) → (-y,x).
3. Rotation 90° clockwise about the origin: This transformation rotates the image 90° clockwise. The rule for a 90° clockwise rotation about the origin is (x,y) → (y,-x).
4. Rotation 180° about the origin: This transformation rotates the image 180°. The rule for a 180° rotation about the origin is (x,y) → (-x,-y).

Based on the given descriptions, the correct rule that describes the transformation is 90° counterclockwise about the origin.