115k views
5 votes
Instructions: State what additional information is required in order to know that the triangles are congruent for the given reason.

Instructions: State what additional information is required in order to know that-example-1
User Ben RR
by
7.6k points

1 Answer

4 votes

How To Solve*:

For the Angle-Side-Angle Triangle Congruence Postulate to hold, two angles of a triangle and the side contained between these two angles must be respectively equal to two angles of another triangle and the side contained between them.

Solving:

In the given figures, there are two congruent angles - ∠Q≅∠H and ∠R≅∠I. Now, for the ASA Congruence Postulate to hold, the sides included between the angles have to be congruent. In the figures, the sides between ∠Q and ∠R and ∠H and ∠I, are, respectively, line segments QR and HI.

So, QR and HI must be congruent for the triangles to be congruent.

*This section has been paraphrased from Cuemath.com.

User Voondo
by
7.8k points

No related questions found