176k views
5 votes
What else would need to be congruent to show that abc = def by aas

What else would need to be congruent to show that abc = def by aas-example-1
User Skylar
by
8.2k points

2 Answers

4 votes
The AAS or Angle-Angle-Side Postulate states that if you have two pairs of congruent angles and one pair of congruent sides, and the congruent side isn't between the two congruent angles, the two triangles are congruent.

Based on this, angle C must be congruent to angle F for these two triangles to be congruent by AAS. So your answer is A.
User Sidharth Sharma
by
8.1k points
1 vote

Answer:

The correct option is option A

Explanation:

Given two triangles in which ∠B=∠E=50° and AB=DE=10 units.

we have to find the missing condition need to show the two triangles ABC and DEF congruent by AAS.

The condition given are

∠B=∠E

AB=DE

One side and one angle congruent given we need one more angle of both the triangles congruent such that the side does not lies between the two angles.

Hence, the possible angles are ∠C and ∠F.

The correct option is option A

User Pol Lluis
by
7.9k points