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Q: Are two triangles are congruent if they have the same base?

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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.

They are two triangles whose corresponding sides and angles are the same.

Not necessarily. You find the area of a triangle with the formula 1/2*base*height=Area. Imagine two triangles, one with 3 inches for both the base and height, and one with 4.5 inches for the height and 2 inches for the base. Both of these triangles will have 9 sq. in. for their areas, but they are not congruent.

No, triangles with the same side lengths are always congruent.

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.

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If they both have 3 sides the same and 3 angles the same then they are said to be congruent.

They are congruent.

No, triangles with the same side lengths are always congruent.

the triangles will have the same side length

The triangles are similar, but not necessarily 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.

They are two triangles whose corresponding sides and angles are the same.

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.

yes they have same area

Not necessarily. You find the area of a triangle with the formula 1/2*base*height=Area. Imagine two triangles, one with 3 inches for both the base and height, and one with 4.5 inches for the height and 2 inches for the base. Both of these triangles will have 9 sq. in. for their areas, but they are not congruent.

The triangles have the same side lengths.

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