No, but a quadrilateral can.
I am picturing two parallel lines with a transversal, If Angle two and five are corresponding then they are congruent. If they are not corresponding then they would be supplementary.
The answer is no. When two triangles are congruent all three corresponding sides are the same and all three corresponding angles are the same. Two triangles with the same corresponding angles can have corresponding sides different so they are not congruent.
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Yes.
When all of their corresponding angles are congruent (in any triangle, in fact) then the triangles are similar. Similarity postulate AAA. (angle-angle-angle)
The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.
Corresponding angle are used to prove if lines are parallel. If they are congruent then the lines cut by the transferal are parallel.
If two figures are similar or congruent, each angle of the first figure is the same as the corresponding angle of the second figure.In similar figures, the ratio of each side in the first figure to the corresponding side in the second figure is a constant. If the figures are congruent, that ratio is 1: that is, the corresponding sides are of the same measure.
In the context of congruent triangle theorems, it means that a pair of angles in corresponding locations in two triangles, and the sides that are included between them, are congruent. That being the case, the two triangles are congruent.
You need SAS (side angle side), SSS (side side side), ASA (angle side angle), AAS (angle angle side) or CPCTC (corresponding parts of congruent angles are congruent)
The first is two angles and the included side whereas the second is two sides and the included angle!
A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are congruent