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

Respuesta :

this is a the transitive property of congruency

Answer: A. transitive property of congruence


Step-by-step 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 [tex]\overline{AB}=\overline{CD}[/tex] and  [tex]\overline{CD}=\overline{EF}[/tex]

Then  [tex]\overline{AB}=\overline{EF}[/tex]  

or if [tex]\angle{A}=\angles{B}[/tex] and  [tex]\angle{B}=\angles{C}[/tex]

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.