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Read the statement below: If IZBAD- m2DAC and mŁDAC-MURST, then M2BAD-MZRST. Which Property of Congruence is demonstrated in the statement?

A. Symmetric Property
B. Transitive Property
C. Reflexive Property
D. Distributive Property

1 Answer

3 votes

Final answer:

The statement provided demonstrates the Transitive Property of Congruence, which states that if one figure is congruent to a second, and the second is congruent to a third, then the first and third are also congruent.

Step-by-step explanation:

The statement provided demonstrates the Transitive Property of Congruence in Geometry. This property states that if one geometric figure (or angle in this case) is congruent to a second figure, and the second figure is congruent to a third, then the first and third figures are also congruent. In symbolic form, if a ≅ b and b ≅ c, then a ≅ c. Applying this to the given statement, it is understood as follows: if IZBAD ≅ m2DAC and mΛDAC ≅ MURST, then M2BAD ≅ MZRST, because M2BAD and MZRST are both congruent to m2DAC.

User DrewConway
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