Jero claims that the statements line LR is congruent to line RL and angle CBA is congruent to angle ABC are both true by the Reflexive Property of Congruence. Explain why Jero is correct.
I have an idea of what the answer could be but would someone please help me to better understand how he is correct.
Explain why the statements LR = RL and <CBA = <ABC are both true
by the Reflexive property of Congruence.
To explain why Jero is correct, let's first understand what the Reflexive Property of Congruence is. The Reflexive Property of Congruence states that any geometric figure is congruent to itself.
In this case, Jero claims that line LR is congruent to line RL and angle CBA is congruent to angle ABC. To prove this using the Reflexive Property of Congruence, we need to show that each geometric figure is congruent to itself.
To show that line LR is congruent to line RL, we need to show that both lines have the same length. This can be done by measuring the lengths of both lines using a ruler or any measuring tool. If the lengths of both lines are equal, we can conclude that line LR is congruent to line RL.
Similarly, to show that angle CBA is congruent to angle ABC, we need to show that both angles have the same measure. This can be done by using a protractor to measure the angles. If the measures of both angles are equal, we can conclude that angle CBA is congruent to angle ABC.
Therefore, if we can verify that line LR is congruent to line RL in terms of length and angle CBA is congruent to angle ABC in terms of their measures, then Jero is correct in claiming that the statements are true by the Reflexive Property of Congruence.