True
Two sides and the included angle of one triangle must be congruent to two sides and the included angle of the other.
The triangles must be congruent.
False
Nothing. If a side ,an angle, and a side are the same the triangles are congruent.
1. There are two right triangles. 2. They have congruent hypotenuses. 3. They have one pair of congruent legs.
Two sides and the included angle of one triangle must be congruent to two sides and the included angle of the other.
The triangles must be congruent.
False
The transitive property for congruence of triangles states that if triangle A is congruent to triangle B, and triangle B is congruent to triangle C, then triangle A is also congruent to triangle C. This property relies on the idea that congruence is an equivalence relation, meaning it is reflexive, symmetric, and transitive. Therefore, if two triangles can be shown to be congruent to a third triangle, they must be congruent to each other as well.
Nothing. If a side ,an angle, and a side are the same the triangles are congruent.
False dood
1. There are two right triangles. 2. They have congruent hypotenuses. 3. They have one pair of congruent legs.
Yes, similar triangles are congruent because in order to be congruent they must first be equal. Which in turn is the definition of a similar triangle. A triangle equal in angle measurements and/or side lengths. So, yes.
The SAS theorem is used to prove that two triangles are congruent. If the triangles have a side-angle-side that are congruent (it must be in that order), then the two triangles can be proved congruent. Using this theorem can in the future help prove corresponding parts are congruent among other things.
The two legs must be corresponding sides.
No, congruent triangles are always similar but similar triangles and not always congruent. Imagine that similar triangles can be created on a copy machine enlarge and shrink the image, turn it, even turn it over, the angles remain the same. A congruent triangle must be exactly the same as the original. Hope this helps!
To be congruent, the three angles of a triangle must be the same and the three sides must be the same. If triangles TRS and WUV meet those conditions, they are congruent.