Which of the following statements can be justified by the Reflexive Property of Congruence? Choose all that apply.

The Reflexive Property of Congruence states that a=a or something is equal to itself:

This would include:
m<A=m<A, AB= BA, XY=XY, and <1=<1

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lublana lublana · Answer 2 · 2019-10-03T07:55:01+02:00

Answer:

[tex]m\angle A=m\angle A[/tex]

[tex]\angle ABC\cong \angle CBA[/tex]

Segment AB[tex]\cong[/tex]Segement BA

XY=XY

[tex]\angle1\cong \angle 1[/tex]

Step-by-step explanation:

We have to find which statements can be justified by the reflexive property of congruence.

Reflexive property:It states that any geometric figure is congruent to itself .If a line segment has same length then the line would be congruent.

1.[tex]m\angle A=m\angle A[/tex]

By using definition of reflexive property of congruence

It is true.

2.[tex]\angle ABC\cong \angle CBA[/tex]

By using definition of reflexive property of congruence

It is true.

3.Segment AB[tex]\cong[/tex] segment BC

It is false by using definition of reflexive property of congruence.

4.Segment AB[tex]\cong[/tex]Segment BA

It is true by definition of reflexive property of congruence .

5.XY=XY

It is true by definition of reflexive property of congruence.

6.[tex]\angle1\cong \angle 1[/tex]

It is true by definition of reflexive property of congruence.

Answer:[tex]m\angle A=m\angle A[/tex]

[tex]\angle ABC\cong \angle CBA[/tex]

Segment AB[tex]\cong[/tex]Segment BA

XY=XY

[tex]\angle1\cong \angle 1[/tex]