Question

1. write the rule and show the

what are the coordinates of the image of
△jkl after a 180° clockwise rotation about
the origin? (lesson 2-4)

1. show how you answered this questio

use a coordinate rule to describe the translation that maps a(-2,7) to a(6,4)
(lesson 4-2)

Explanation:

Step1: Identify original coordinates

From the graph, find coordinates of \( J \), \( K \), \( L \). Let's assume (from grid): \( J(-4, -1) \), \( K(-2, -1) \), \( L(-2, 3) \).

Step2: Apply 180° rotation rule

The rule for 180° rotation about origin is \((x, y) \to (-x, -y)\).

• For \( J(-4, -1) \): \( (-(-4), -(-1)) = (4, 1) \)
• For \( K(-2, -1) \): \( (-(-2), -(-1)) = (2, 1) \)
• For \( L(-2, 3) \): \( (-(-2), -3) = (2, -3) \)

Answer:

The coordinates of the image of \( \triangle JKL \) after 180° clockwise rotation about the origin are \( J'(4, 1) \), \( K'(2, 1) \), \( L'(2, -3) \), and the rotation rule is \((x, y) \to (-x, -y)\).