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Are the diagonals of an isosceles triangle congruent?
Yes, the diagonals of an isosceles triangle are congruent. This is because an isosceles triangle has two sides that are equal in length, which creates two congruent triangles when the diagonals are drawn.
If two angle bisectors of a triangle are congruent then prove that triangle is isosceles?
If two angle bisectors of a triangle are congruent, then the triangle is isosceles. This is because the angle bisectors of a triangle are concurrent and the angle bisectors of a triangle that are congruent divide the opposite sides of the triangle into two equal segments. So if two angle bisectors are congruent, the sides opposite those angles are also equal, making the triangle isosceles.
What are three types of triangles that are or can be acute?
Acute scalene triangle: A triangle with three sides of different lengths and all three angles less than 90 degrees. Acute isosceles triangle: A triangle with at least two sides of equal length and all three angles less than 90 degrees. Acute equilateral triangle: A triangle with three equal sides and all three angles measuring less than 60 degrees.
A quadrilateral with exactly 1 pair of parrell sides and exactly 1 pair of congruent sides?
This quadrilateral is a trapezoid. In a trapezoid, one pair of opposite sides is parallel, and one pair of opposite sides is congruent. The other two sides are not parallel or congruent.
What are the measures of all angles in a triangle if 2 sides equal the third side?
If two sides of a triangle are equal in length to the third side, then the triangle is equilateral, and all angles are 60 degrees.
