Question

(2) if all the sides of a triangle are congruent, then each angle measures 60°. using statements (1) and (2), choose if each of the statements a through d belongs or does not belong. a. if a triangle is not equilateral, then it cannot have congruent angles. b. a figure with three congruent sides is always an equilateral triangle. c. if a triangle is not equilateral, then none of the angles measure 60°. d. if a triangle is equilateral, then each of its angles measures 60°.

Explanation:

Step1: Analyze statement A

Isosceles triangles can have congruent angles without being equilateral.

Step2: Analyze statement B

By definition, a triangle with three congruent sides is equilateral.

Step3: Analyze statement C

Non - equilateral triangles can still have a 60 - degree angle (e.g., a 30 - 60 - 90 triangle).

Step4: Analyze statement D

Given that if all sides of a triangle are congruent (equilateral), each angle is 60°.

Answer:

A. Does not belong
B. Belong
C. Does not belong
D. Belong