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Earn +20 ptsQ: Is a triangle with two congruent angles always a 45-45-90 triangle?
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If two sides of a triangle are congruent then the angles opposite those sides are congruent?
always
A triangle with three congruent angles?
A triangle with three congruent angles
Is the isosceles triangle the only triangle with congruent sides and angles?
In an isosceles triangle 2 sides are congruent and 2 angles are congruent. In an equilateral triangle all 3 sides are congruent and all 3 angles are congruent also.
What is a counter example for the statement congruent angles are always vertical angles?
Vertical angles must necessarily be congruent, however congruent angles do not necessarily have to be vertical angles. An example of congruent angles which are not vertical angles are the 3 interior angles of an equilateral triangle. These angles do not share the same vertex yet they are congruent.
If a triangle has two congruent angles is it isosceles?
Yes, because of the base angles theorem converse: If two angles in a triangle are congruent, then the sides opposite the angles are congruent.
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