Question

Which statement is an example of the transitive property of congruence?

a) If AEFG = AEFG, then AEFG = AEFG.
b) AEFG = AEFG
c) If AEFG = AEFG, then AEFG = AEFG.
d) If AEFG = AEFG, then AEFG = AEFG.

Answer 1

The correct example of the transitive property of congruence is option d, which states that if one figure is congruent to a second, and the second to a third, then the first must be congruent to the third.

Step-by-step explanation:

The transitive property of congruence states that if one figure is congruent to a second figure, and the second figure is congruent to a third, then the first and third figures are also congruent. Looking at the provided options, the correct one exemplifying the transitive property of congruence is:

d) If AEFG = AEFG, then AEFG = AEFG.

This statement says that if figure AEFG is congruent to figure AEFG, and figure AEFG is also congruent to AEFG, then it can be concluded that the first figure AEFG is congruent to the third figure AEFG, following the transitive property.