Question

Name the property of congruence that justifies this statement: if angle W is congruent to angle X and angle x is congruent to angle y then angle w is congruent to angle y

A transitive property
B reflexive property
C symmetric properly
D none of these

Answer 1

this is a the transitive property of congruency

Answer 2

Answer: A. transitive property of congruence

Explanation:

• Transitive property of congruence says" If two segments or two angles are each congruent to a third segment or angle respectively, then they are congruent to each other".

For example if
`\overline{AB}=\overline{CD}` and
`\overline{CD}=\overline{EF}`

Then
`\overline{AB}=\overline{EF}`

or if
`\angle{A}=\angles{B}` and
`\angle{B}=\angles{C}`

Then [tex]\angle{A}=\angles{C}[tex]

Thus, if angle W is congruent to angle X and angle x is congruent to angle y then angle w is congruent to angle y by Transitive property of congruence.