Question

use the shapes to answer the question. which degree of rotation will show shape 1 congruent to shape 2? a. 30° b. 45° c. 60° d. 90° e. 180°

Explanation:

Step1: Understand congruent shapes after rotation

Congruent shapes have the same size and shape. When rotating a shape, we check the angle that makes it match the other shape.

Step2: Analyze each option

• \(30^{\circ}\): The shape won't align.
• \(45^{\circ}\): The shape won't align.
• \(60^{\circ}\): The shape won't align.
• \(90^{\circ}\): The shape won't align.
• \(180^{\circ}\): Rotating \(180^{\circ}\) (a half - turn) will make the two heart - shaped figures congruent as they will be in the correct orientation relative to each other.

Answer:

E. \(180^{\circ}\)