Question

the triangles are congruent. graph: coordinate plane with x - axis from -1 to 10, y - axis from -1 to 10, two triangles (one with vertices a (5,4), b (8,2), c (10,4), another above a sharing vertex a). move options to the lines to describe a rotation that will map △ abc onto the other triangle to show they are congruent triangles. rotate △ abc __ about point __. options: 90°, 180°, 270°, clockwise, counterclockwise, a, b, c.

Explanation:

Step1: Analyze Rotation Direction and Angle

To map \( \triangle ABC \) to the other triangle, observe the orientation. A \( 90^\circ \) counterclockwise rotation about point \( A \) aligns the triangles.

Step2: Identify Rotation Center

The common vertex for both triangles is \( A \), so the center of rotation is \( A \).

Answer:

Rotate \( \triangle ABC \) \( 90^\circ \) Counterclockwise about point \( A \)