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What conditions will ensure that two isosceles triangles are congruent?
The triangles have the same side lengths.
Similar triangles are triangles whose corresponding?
angles are congruent. That is sufficient to force the corresponding sides to be proportional - which is the other definition of similarity.
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.
Is it true that two triangles have 3 pairs of congruent angles then the triangle are not guaranteed to be congruent?
When two triangles are congruent, there are 6 facts that are true about the triangles. The triangles have 3 sets of congruent (of equal length) sides and the triangles have 3 sets of congruent (of equal measure) angles.
What are the two properties of congruent triangles?
All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal
