A single triangle is never congruent. "Congruent" only arises out of a comparison
with something else.
In order to be congruent to another triangle, a triangle needs one of the following:
-- two of its sides and the included angle equal respectively to two sides and
the included angle of the other one;
-- two of its angles and the included side equal respectively to two angles and
the included side of the other one;
-- all three of its sides equal respectively to all three sides of the other one.
yes, only the isosceles triangle has two congruent angles. But triangles don't need any congruent angles
All corresponding sides and all interior angles are congruent. But in order to have a congruent triangle, we need two or more triangles that fit these requirements.
To show that triangle JKL is congruent to triangle MNO by the Angle-Angle-Side (AAS) theorem, you need to establish that two angles and the non-included side of triangle JKL are congruent to two angles and the corresponding non-included side of triangle MNO. Specifically, you would need to verify that one of the angles in triangle JKL is congruent to one of the angles in triangle MNO, and that the side opposite the angle in triangle JKL is congruent to the corresponding side in triangle MNO. This would complete the necessary conditions for AAS congruence.
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 show that triangle ABC is congruent to triangle XYZ by the ASA (Angle-Side-Angle) criterion, we need to establish that two angles in triangle ABC are congruent to two angles in triangle XYZ, along with the side that is included between those angles being congruent. Specifically, if we have ∠A ≅ ∠X, ∠B ≅ ∠Y, and side AB ≅ XY, then the triangles can be concluded as congruent by ASA. Thus, we would need to confirm the congruence of these angles and the included side.
No, An equilateral triangle has 3 congruent angles, an isosceles triangle has 2 congruent angles, a scalene triangle has no congruent angles.
if it has one congruent side it is a scalene triangle. if it has a pair of congruent sides it is an isosceles triangle. if all the sides are congruent it is an equilateral triangle
here is your answer: the triangle is congruent to BCR
If a triangle is congruent to another triangle, they are exactly the same. therefore, a congruent triangle can look like anything.
................ scalene triangle ................ =)
Scalene Triangle- a triangle with no congruent sides Isosceles Triangle- a triangle with two congruent sides Equilateral Triangle- a triangle with three congruent sides
a congruent triangle?