What are opposite equal angles called?

isosceles
The sides opposite to equal angles of a triangle are equal. Prove that if two angles of a triangle are congruent, then the triangle is isosceles.

Are angles opposite to equal sides equal?

Let D be the point of intersection of this bisector of ∠A and BC. Therefore ,by construction ∠BAD = ∠CAD. So, ∠ABD = ∠ACD, since they are corresponding angles of congruent triangles. Hence, Proved that an angle opposite to equal sides of an isosceles triangle is equal.

What is equal sides and equal angles?

Equilateral. An equilateral triangle has three equal sides and angles.

How to prove that sides opposite to equal angles are equal?

Theorem 7.3 :- The sides opposite to equal angles of a triangle are equal. Given :- A triangle ABC where ∠B = ∠C To Prove :- AB = AC Construction:- Draw a bisector of ∠A intersecting BC at D. Proof:- In △BAD and △CAD ∠ B = ∠ C ∠BAD = ∠CAD AD = AD △BAD ≅ △CAD Thus, AB = AC Hence, sides opposite to equal angles are equal. Hence proved

What do you call a pair of angles opposite each other?

A pair of angles opposite each other, formed by two intersecting straight lines that form an “X”-like shape, are called vertical angles or opposite angles or vertically opposite angles. They are abbreviated as vert. opp. ∠s. The equality of vertically opposite angles is called the vertical angle theorem.

What do you call a quadrilateral with opposite sides equal and parallel?

A quadrilateral with opposite sides equal and parallel is called a parallelogram. The corresponding solid is called a parallelepiped . A parallelogram, with all its angles right angles is called a rectangle. The solid version of the rectangle is called a cuboid .

What are the opposite sides of the transversal called?

Angles and parallel lines. Angles that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8. All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.