To show that triangle ABC is congruent to triangle DEF by the Angle-Side-Angle (ASA) criterion, you need to establish that two angles and the included side of triangle ABC are congruent to the corresponding two angles and the included side of triangle DEF. Specifically, you would need to demonstrate that ∠A is congruent to ∠D, ∠B is congruent to ∠E, and the side AB is congruent to side DE. Once these conditions are satisfied, you can conclude that triangle ABC is congruent to triangle DEF by the ASA theorem.
The answer depends on what is already known about the two triangles.
"What else" implies there is already something that is congruent. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer. no correct
To show that triangle ABC is congruent to triangle XYZ by the Side-Angle-Side (SAS) criterion, we also need to establish that the included angles are congruent. Specifically, we need to demonstrate that angle ABC is congruent to angle XYZ. With the two pairs of congruent sides (AB ≅ XY and BC ≅ YZ) and the included angle congruence, SAS can be satisfied.
To show that triangle ABC is congruent to triangle XYZ by the Angle-Angle-Side (AAS) criterion, you would need to establish that one pair of corresponding sides is congruent. Specifically, you need to demonstrate that one side of triangle ABC is congruent to the corresponding side of triangle XYZ, in addition to having two angles in triangle ABC congruent to two angles in triangle XYZ. This combination of two angles and the included side would satisfy the AAS condition for congruence.
To prove that triangles EFG and HIJ are congruent by the Side-Side-Side (SSS) criterion, you would need to show that all three pairs of corresponding sides are congruent. Specifically, you must demonstrate that the lengths of side EF are equal to those of side HI, side FG is equal to side IJ, and side EG is equal to side HJ. Once these three pairs of sides are confirmed to be congruent, the triangles can be concluded as congruent by SSS.
__ - __ AC = XZ = is the similar sign
Angle "A" is congruent to Angle "D"
The answer depends on what is already known about the two triangles.
That depends on which sides have not been proven congruent yet.
Bc= qr
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"What else" implies there is already something that is congruent. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.
"What else" implies there is already something that is congruent. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.
Line segment BC is congruent to Line Segment YZ
We don't know what has already been proven congruent, sowe're in no position to be able to say what elseis required.
bh=ws