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What else would need to be congruent to show that AABC= AXYZ by ASA?
Given:
/ Xã A
O A. 27= LA
O B. AC = x2
O
C. BC=YZ
O D. ZY=20

Respuesta :

Edufirst

Answer:

  • option D. ∠Y ≅ ∠B.

Explanation:

Please, find attached the figure needed to answer this question.

ASA is the Angle-Side-Angle congruency rule. It states that if two angles and the included side of a triangle are congruent to two angles and the included side of other triangle, then, the two triangles are congruent.

In the figure it is given that the angle Z is congruent to the angle C, and the side CB is congruent to the side ZY.

Then, you need that the other angles B and Y be congruent too.

Thus, the answer is the option D. ∠Y ≅ ∠B.

In this way, you have two angles and the included side of one triangle are congruent to two angles and the included side of the other triangle.

  • ∠Z ≅ ∠C
  • ∠ Y ≅ ∠C
  • segment CB ≅ ZY
Ver imagen Edufirst
akposevictor

Based on the ASA, to show that triangles ABC and XYZ are congruent, the following would need to be congruent: ∠X ≅ ∠A; ∠Z ≅ ∠C; and XZ ≅ AC.

What is the ASA Congrunce Theorem?

The ASA congruence theorem states that two triangles that have two pairs of corresponding congruent angles, and a pair of included sides area congruent triangles.

For Triangles ABC and XYZ to be congruent triangles, based on ASA, the following must be shown:

∠X ≅ ∠A; ∠Z ≅ ∠C; and XZ ≅ AC

Learn more about ASA congruence theorem on:

https://brainly.com/question/2102943

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