Question

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

A. If , then .
B. If , then .
C. .
D. If and , then .

Answer 1

an example of the transitive property of congruence is D. If and , then .

Answer 2

D. If and , then is an example of transitive property of congruence.

Explanation:

Transitive property of congruenc: If one segment is congruent to second segment and second is congruent to third segment then the segment one is congruent to third segment.

For example: If
`\overline{ AB} \cong  \overline {BC}`

and
`\overline{BC} \cong \overline{CD}`

Then
`\overline{AB} \cong  \overline {CD}`

Therefore we can see in angles

If
`\angle ABC \cong \angle BCA`

And
`\angle BCA \cong \angle CAB`

Then
`\angle ABC\cong \angle CAB`

Therefore, the statement of transitive property written as

If and, then

Hence, If and, then is an example of the transitive property of congruence.