Question

You want to show that two triangles are congruent using the ASA postulate. What additional piece of information is needed to establish their congruence?

Answer 1

To prove two triangles are congruent using the ASA postulate, you must have two angles and the side between them from each triangle, ensuring the corresponding parts are equal.

Step-by-step explanation:

To show two triangles are congruent using the ASA postulate, you need information about two angles and the side between them. The ASA postulate states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. In other words, these three pieces of information are crucial:

• The measure of one angle.
• The length of the side between the two measured angles.
• The measure of the second angle.

If you already have two angles of a triangle and the side between them known, to establish congruence of another triangle using ASA, you need the corresponding two angles and the included side from the second triangle to be equal to those in the first one.