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What else would need to be congruent to show that triangle ABC cong Triangle XYX by ASA?

What else would need to be congruent to show that triangle ABC cong Triangle XYX by-example-1
User Paddre
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2 Answers

1 vote

Answer: First choice. angle C = angle Z

Step-by-step explanation:

AC = XZ shows that the horizontal pieces are congruent. This is the "S" of "ASA" as it stands for the pair of congruent sides. We are also given angle A = angle X. This is one of the "A"s in "ASA" as it stands for pair of congruent angles.

What we're missing is the other pair of angles. We must pick C and Z because they help sandwich the two sides mentioned above. ASA has the two angles surrounding the sides; or the sides are between the angles. We can't pick B and Y, unless we were doing AAS which is a similar related idea. The order matters when it comes to ASA and AAS. However, AAS is the same as SAA.

User Juvian
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5.9k points
2 votes

Answer:

AC=XZ

so the correct answer is D

User Bramp
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