What else would need to be congruent to show that

Posted By Admin @ September 04, 2022


What else would need to be congruent to show that ABC XYZ by ASA?


Answer: Choice C.  Angle Y = Angle B



ASA stands for "angle side angle".

To use ASA, we must have two pairs of congruent angles, as well as a pair of congruent sides. The sides must be between the angles in question.

So far we're given

  • Angle Z = Angle C
  • CB = ZY

The thing we're missing is the other pair of congruent angles. So the missing congruent pair of angles is Angle Y = Angle B as those two angles are adjacent to the segments mentioned above.

Something like angle A is not adjacent or touching segment CB. Also, angle X is not adjacent to segment ZY. So we can rule these angles out. We'd only use these angles if we were dealing with AAS instead of ASA.

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