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What size and shape do two congruent triangles have?
to be congruent two triangles have, ASA-two angles the same with a side length between them. SAS-two side lengths the same and a same angle between them. SSS-all 3 side lengths the same. RHS-if the triangles are right angles ,and the hypotenuse are the same. :)
Why are the two triangles congruent?
They may not be. Depends on the triangles! All the angles and sides have to be the same to be congruent. They would be identical. The same angles but proportionally larger or smaller side lengths = similar.
When do you say that two triangles have the same shape?
well, they could be congruent, there are some rules for congruency, to be congruent two triangles have, ASA-two angles the same with a side length between them. SAS-two side lengths the same and a same angle between them. SSS-all 3 side lengths the same. RHS-if the triangles are right angles ,and the hypotenuse are the same. ;or they could be mathmatically similar. :)
Is it true to say that two equiangular triangle are always equal?
No. Equiangular only implies the angles are the same, but says nothing about the lengths. Two equiangular triangles are always similar, only sometimes congruent.
What is SAS Congruence Theorem?
The side-angle-side congruence theorem states that if you know that the lengths of two sides of two triangles are congruent and also that the angle between those sides has the same measure in both triangles, then the two triangles are congruent.
You can build two triangles that have the same side lengths but are not congruent.?
No, triangles with the same side lengths are always congruent.
Triangles are congruent if they have the same what?
Triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.
If two triangles have the same side lengths then the triangles are?
They are congruent.
Are two triangles that have the same side lengths always be congruent?
Yes because the definition of a congruent triangle is a triangle with EVERY side the same length
Do all triangles with same side lengths have the same area?
Only if they are congruent triangles
What conditions will ensure that two isosceles triangles are congruent?
The triangles have the same side lengths.
True or false two triangles that have the same side lengths will always be congruent?
True, only if all the sides are the same length.
If two triangles are similar are they congruent?
no: if you have two triangles with the same angle measurements, but one has side lengths of 3in, 4in, and 5in and the other has side lengths of 6in, 8in, and 10in, then they are similar. Congruent triangles have the same angle measures AND side lengths.
How would you prove triangles 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.
If two triangles have three pairs of congruent angles then the triangles are not guaranteed to be congruent?
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.
Congruent triangles have the same shape and size because they will always have the same?
Congruent Triangles have the same angles and side length measures
What size and shape do two congruent triangles have?
to be congruent two triangles have, ASA-two angles the same with a side length between them. SAS-two side lengths the same and a same angle between them. SSS-all 3 side lengths the same. RHS-if the triangles are right angles ,and the hypotenuse are the same. :)
