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If any two sides and any angle are congruent in two triangles then the triangles must be congruent.?

Updated: 4/28/2022

Wiki User

8y ago

No. The angles must be an included angle, between the sides to guarantee congruence.

For an example. imagine a triangle with two equal sides and a 60 degree angle between them and another triangle with the same two equal sides and a 120 degree angle between them.

Wiki User

8y ago

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Q: If any two sides and any angle are congruent in two triangles then the triangles must be congruent.?
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False

What must be shown to be congruent in order to say that the triangles are congruent by SAS?

Two sides and the included angle of one triangle must be congruent to two sides and the included angle of the other.

False dood

What else must you know to prove the triangles congruent by SAS?

Nothing. If a side ,an angle, and a side are the same the triangles are congruent.

What is the sss rule?

if you have two triangles you can prove them congruent by stating that all of the sides are congruent, hence (SSS=Side, Side, Side). You can also do the same by stating SAS (Side, Angle, Side) or ASA (Angle, Side, Angle). Using these methods, everything must be in order and consecutive to prove the triangles congruent good question

What is congruent angle?

Congruent angles are of the same size as for example 85 degrees is congruent to 85 degrees

Can any two triangles be joined to make a rhombus?

No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.

Can any triangles be joined to make a rhombus?

No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.

What else would need to be congruent to show that abc def by aas?

Nothing else, the angle-angle-side is sufficient to show the triangles are congruent. With two corresponding angles are equal, the third angles in the triangles by definition (the sum of the three angles in a triangle is 180o) must be equal making the triangles similar. If a corresponding pair of sides are also equal, then the other two corresponding pairs of sides will be equal.

To use the HL Theorem to prove two triangles are congruent the triangles must be right triangles. Which other conditions must also be met?

The two legs must be corresponding sides.

What must be true before using corresponding parts of congruent triangles are congruent in a proof?

The triangles must be congruent.

What is side side side on a triangle?

if you have two triangles you can prove them congruent by stating that all of the sides are congruent, hence (SSS=Side, Side, Side). You can also do the same by stating SAS (Side, Angle, Side) or ASA (Angle, Side, Angle). Using these methods, everything must be in order and consecutive to prove the triangles congruentgood questionRead more: What_is_the_sss_rule