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suter [353]
3 years ago
8

Identify the property that justifies the following statement: If <1≈ <2, then <2≈<1.

Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0

Symmetric property of congruence.

Solution:

Given statement:

If ∠1 ≅ ∠2, then ∠2 ≅ ∠1.

<em>To identify the property used in the above statement:</em>

Let us first know some property of congruence:

Reflexive property:

The geometric figure is congruent to itself.

That is \overline{A B} \cong \overline{A B} \text { or } \angle B \cong \angle B.

Symmetric property of congruence:

If the geometric figure A is congruent to figure B, then figure B is also congruent to figure A.

That is \overline{A B} \cong \overline{C D}, \text { then } \overline{C D} \cong \overline{A B}.

Transitive property of congruence:

If figure A is congruent to figure B and figure B is congruent to figure C, then figure A is congruent to figure C.

That is \angle A\cong \angle B, \ \angle B\cong \angle C \  \text{then} \ \angle A\cong \angle C

From the above properties, it is clear that,

If ∠1 ≅ ∠2 then ∠2 ≅ ∠1 is symmetric property of congruence.

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