Question

triangle abc is shown on the coordinate plane. draw the triangle that results from rotating △abc 180° clockwise

Explanation:

Step1: Identify Coordinates

First, find the coordinates of points \( A \), \( B \), and \( C \). From the graph:

• \( A(-1, 1) \)
• \( B(4, 4) \)
• \( C(7, -1) \)

Step2: Apply 180° Rotation Rule

The rule for a \( 180^\circ \) clockwise (or counterclockwise) rotation about the origin is \( (x, y) \to (-x, -y) \).

• For \( A(-1, 1) \): \( (-(-1), -1) = (1, -1) \)
• For \( B(4, 4) \): \( (-4, -4) \)
• For \( C(7, -1) \): \( (-7, 1) \)

Step3: Plot Rotated Points

Plot the new points \( A'(1, -1) \), \( B'(-4, -4) \), and \( C'(-7, 1) \), then connect them to form the rotated triangle.

Answer:

The rotated triangle has vertices at \( (1, -1) \), \( (-4, -4) \), and \( (-7, 1) \). (To draw, plot these points and connect them using the Polygon tool.)