yes they have same area
The triangles are similar, but not necessarily congruent.
the strongest relationship a pair of triangles can have is congruence. two segments or two angles are congruent when they have the same measures. congruent triangles have exactly the same size and shape.
Correct. Congruency means that two triangles have three pairs of congruent angles and corresponding sides of the same lengths. A pair of triangles with three pairs of congruent angles but sides of different lengths are similar, not congruent.
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!
False
If they both have 3 sides the same and 3 angles the same then they are said to be congruent.
No. All corresponding sides and angles have to be congruent for the triangles to be congruent.
They are congruent.
You could prove two triangles are congruent by measuring each side of both triangles, and all three angles of each triangle. If the lengths of the sides are the same, and so are the angles, then the triangles are congruent... if not, then the triangles are not congruent. If the triangles have the exact same size and shape then they are congruent.
the triangles will have the same side length
The triangles are similar, but not necessarily congruent.
They are two triangles whose corresponding sides and angles are the same.
I believe so, though I am not sure I can prove it.
the strongest relationship a pair of triangles can have is congruence. two segments or two angles are congruent when they have the same measures. congruent triangles have exactly the same size and shape.
Only if the two triangles are congruent will they have equal areas. A third fact is required to determine they are congruent (and thus have the same area): 1) The third sides are equal; 2) The angles enclosed between the sides are equal; or 3) The same one of the sides is the hypotenuse of the triangles, which are right angled triangles.
Yes, they are. IF the side is between the two angles in both triangles,and all three items flow in the same direction in both triangles.
congruent means equivalent. An equilateral triangle has 3 of the same sides, not two. Isosceles triangles can have 2 or 3 of the same length sides. Congruent isosceles triangles are impossible.I agree with most of the above answer but not the last sentence. It is possible to have congruent isosceles triangles. If the legs (sides) of triangle 1 are the same length as the legs of triangle 2, and the bases (third side) of the two triangles are the same length then the two isosceles triangles will be congruent.So the answer to the question is: yes, a congruent triangle can have two same length sides.