Question

Which triangle criterion can you use to prove that ABC AND ABD are congruent?

Answer 1

To demonstrate the congruence of triangles ABC and ABD, the Angle-Side-Angle (ASA) or Side-Side-Side (SSS) congruence criteria can be used, depending on the given information about the angles and sides.

Step-by-step explanation:

To prove that triangles ABC and ABD are congruent, we need to use one of the congruence criteria for triangles. Since segment AB is shared by both triangles, if we also know that two angles are the same such as angle BAB' in one triangle corresponding to the angle of incidence in the other, and another pair of sides like AC and AD is equal, we could use the Angle-Side-Angle (ASA) criterion for congruence. Alternatively, if we know that side AB is equal to itself (by the Reflexive Property), and two other sides are equal in length, we could use the Side-Side-Side (SSS) criterion.

Answer 2

Answer: Based only on the facts in the diagram, you can see that:

BC≅BD (given);

∠ABC is right, ∠ABD is also right, because these two angles are supplementary and together form the straight angle;

AB is common side.

You have two pairs of congruent sides and a pair of included congruent angles that are adjacent to the congruent sides. So you can use SAS Postulate correct choice is A. hope this answer helped you :)

Step-by-step explanation: