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If two angles of a triangle are congruent then are the sides opposite those angles congruent?
Yes.
A triangle with two congruent sides and angles?
Isosceles Triangle
In similar triangles corresponding What is are congruent and corresponding?
For segments or angles, "congruent" means that they have the same measure.For more complicated figures, such as triangles, "congruent" means that all corresponding sides and angles are congruent. "Corresponding" means that you make an assignment, from angles and sides of one triangle, to angles and sides of the other triangle. For example, you might label the sides of one triangle a1, b1, c1, and the sides of other triangle a2, b2, c2 - and you consider the "a" sides to be "corresponding".
Does an obtuse triangle always have 3 congruent sides?
An obtuse triangle does not always have three congruent sides. An obtuse triangle can be any form that always has three angles.
What is a triangle with all acute angles and exactly two congruent sides?
By Definition, a triangle with two Congruent Sides is an Isosceles Triangle. For ALL angles to be Acute, that is, LESS than 90o , the two opposite angles must be greater than 45o. Remember that the SUM of the angles in a Triangle must equal 180o.
