Use the image to answer the question.

Question

An illustraiton of a coordinate plane of 4 quadrants shows x and y axes ranging from negative 8 to 8 in increments of 1. A triangle upper A, upper B, upper C is formed by solid lines at upper A left parenthesis 2 comma 1 right parenthesis, upper B left parenthesis 7 comma 1 right parenthesis, and upper C left parenthesis 4 comma 3 right parenthesis. A triangle upper A prime, upper B prime, upper C prime is formed by dotted lines at upper A prime left parenthesis negative 1 comma 2 right parenthesis, upper B prime left parenthesis negative 1 comma 7 right parenthesis, upper C prime left parenthesis negative 3 comma 4 right parenthesis.

Which transformation shows congruence between triangle ABC
and triangle A′B′C′
?

(1 point)
-degree counterclockwise rotation
Remaining Attempts : 3
Skip to navigation

Answer 1

To determine the transformation that shows congruence between triangle ABC and triangle A'B'C', we need to compare the positions of the corresponding points.

1. Triangle ABC has vertices A(2, 1), B(7, 1), and C(4, 3).
2. Triangle A'B'C' has vertices A'(-1, 2), B'(-1, 7), and C'(-3, 4).

To confirm congruence, we can check if there is a rigid transformation (such as rotation, reflection, or translation) that aligns the triangles.

By analyzing the coordinates, it appears:

• Point A (2, 1) must move to the position of A' (-1, 2).
• Point B (7, 1) must move to B' (-1, 7).
• Point C (4, 3) must move to C' (-3, 4).

The coordinates suggest that there might be a combination of rotation and reflection or translation involved.

However, upon further examination, a specific counterclockwise rotation might align the triangles, particularly looking at the orientation of the triangle shapes and their vertices.

Therefore, the best answer to the question is:

• Degree counterclockwise rotation.

This transformation indicates the congruence between triangle ABC and triangle A'B'C'.