Question

Original: Two congruent angles have the same measure.

Format: Contrapositive

Select one:
a. If two angles are congruent, then they do not have the same measure
b. If two angles are congruent, then they have the same measure.
c. If two angles do not have the same measure, then they are not congruent
d. Two angles are congruent if and only if they have the same measure.

Answer 1

For two angles to be congruent, they must have the same measure, thus the contrapositive states that if two angles do not have the same measure, then they cannot be congruent.

Step-by-step explanation:

When looking at the question about congruent angles and their properties, the focus is on understanding the logical relationships between congruency and angle measurement.

Angles are congruent when they have the same angle measurement. So the contrapositive would state if two angles do not have the same measurement, then they are not congruent. By defining the contrapositive of the original statement 'Two congruent angles have the same measure,' the correct answer becomes 'If two angles do not have the same measure, then they are not congruent,' which aligns with option c.