Which property is illustrated by the following statement? A. Reflexive B. Commutative C. Transitive D. Symmetric
![Which property is illustrated by the following statement A Reflexive B Commutative C Transitive D Symmetric class=](https://us-static.z-dn.net/files/dbb/885b1dcfcaf67bf961f80528f7df4d8a.jpg)
Answer:
D. Symmetric
Step-by-step explanation:
The symmetric property of congruence says, for objects A and B, ...
if A ≅ B, then B ≅ A.
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The symmetric property of congruence makes your statement true:
if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA
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Additional comment
The other answer choices involve other properties:
Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA
Commutative -- certain operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)
Transitive -- if A ≅ B and B ≅ C, then A ≅ C.