Which statement is an example of the transitive property of congruence?A.If ΔΔEFG ΔΔHJK, then ΔΔHJK ΔΔEFG.B.If ΔΔEFG ΔΔHJK, then ΔΔHJK ΔΔMNP.C.ΔΔEFG ΔΔEFGD.If ΔΔEFG ΔΔHJK, and ΔΔHJK ΔΔMNP, then ΔΔEFG ΔΔMNP.
Question
Which statement is an example of the transitive property of congruence?A.If ΔΔEFG ΔΔHJK, then ΔΔHJK ΔΔEFG.B.If ΔΔEFG ΔΔHJK, then ΔΔHJK ΔΔMNP.C.ΔΔEFG ΔΔEFGD.If ΔΔEFG ΔΔHJK, and ΔΔHJK ΔΔMNP, then ΔΔEFG ΔΔMNP.
Solution
The statement that is an example of the transitive property of congruence is: "If ΔEFG ≅ ΔHJK, and ΔHJK ≅ ΔMNP, then ΔEFG ≅ ΔMNP." This is because the transitive property states that if a=b and b=c, then a=c. In this case, if triangle EFG is congruent to triangle HJK, and triangle HJK is congruent to triangle MNP, then triangle EFG must be congruent to triangle MNP.
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