................ scalene triangle ................ =)
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
Only an equilateral triangle are all sides congruent
A scalene triangle.
If triangle DEC is congruent to triangle BEC by the principle of CPCTC (Corresponding Parts of Congruent Triangles are Congruent), then all corresponding sides and angles of the two triangles are equal. This means that side DE is equal to side BE, side EC is equal to side BC, and the angles ∠D and ∠B are congruent, as well as ∠E and ∠C. Thus, any corresponding part from one triangle can be stated to be congruent to its counterpart in the other triangle.
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.
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
An equilateral triangle has three congruent sides.
Only an equilateral triangle are all sides congruent
A scalene triangle.
If a triangle does not have the same length side as another triangle the sides are not congruent.
If triangle DEC is congruent to triangle BEC by the principle of CPCTC (Corresponding Parts of Congruent Triangles are Congruent), then all corresponding sides and angles of the two triangles are equal. This means that side DE is equal to side BE, side EC is equal to side BC, and the angles ∠D and ∠B are congruent, as well as ∠E and ∠C. Thus, any corresponding part from one triangle can be stated to be congruent to its counterpart in the other triangle.
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
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.
Yes they are. Or they could have three pairs of congruent sides, or they could have one pair of congruent angles and two pairs of sides. As far as a triangle goes, if you have at least three pairs of congruent sides or angles they are congruent. This answer is wrong. The triangles are only similar. For congruent trisngles we have the following theorems = Side - side - side, Side - Angle - side , Angle - angle - side, Right triangle - hypotenuse - side.
side angle side means if two sides in their included angle in one triangle are congruent to the corisponding parts of the second triangle then the triangles are congruent so only if they are congruent. i need it for a classs...
Yes because the definition of a congruent triangle is a triangle with EVERY side the same length
Someone correct me if I am wrong, but I don't believe triangles can be "equal", only congruent. The measurements can be equal, but not the triangle itself.The triangle congruency postulates and theorems are:Side/Side/Side Postulate - If all three sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Side/Angle Postulate - If two angles and a side included within those angles of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Side/Angle/Side Postulate - If two sides and an angle included within those sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Angle/Side Theorem - If two angles and an unincluded side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Hypotenuse/Leg Theorem - (right triangles only) If the hypotenuse and a leg of a right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.