Question

Which property is shown when m∠ABC = m∠CBD, then m∠CBD = m∠ABCA?

A. Reflexive property
B. Substitution property
C. Symmetric property
D. Transitive property

Answer 1

The Symmetric property is demonstrated when the measure of angle ABC is equal to the measure of angle CBD, implying that the measure of angle CBD is also equal to the measure of angle ABC.

Step-by-step explanation:

The property shown when m∠ABC = m∠CBD, then m∠CBD = m∠ABC is the Symmetric property. This property states that if a = b, then b = a, which holds true for any equation or expression where two quantities are equal.

In this case, if the measure of angle ABC equals the measure of angle CBD, then it must also be true that the measure of angle CBD equals the measure of angle ABC.