isosceles and equilateral triangles worksheet answers explained

∠A=∠C (angle corresponding to congruent sides are equal) So, AB = AC (By Congruence) or ∆ABC is isosceles. We have to prove that AC = BC and ∆ABC are isosceles.Ĭonstruct a bisector CD that meets the side AB at right angles. Theorem 2: (Converse) If two angles of a triangle are congruent, then the sides corresponding to those angles are congruent. We need to prove that the angles corresponding to the sides AC and BC are equal, that is, ∠CAB = ∠CBA.įirst, we draw a bisector of angle ∠ACB and name it as a CD.

Proof: Assume an isosceles triangle ABC where AC = BC. Theorem 1: If two sides of a triangle are congruent, then the corresponding angles are congruent (Converse) If two angles of a triangle are congruent, then the sides corresponding to those angles are congruent. If two sides of a triangle are congruent, then the corresponding angles are congruent.Ģ. An isosceles triangle that has 90 degrees is called a right isosceles triangle.įrom the properties of the Isosceles triangle, the Isosceles triangle theorem is derived.ġ. An isosceles triangle has two equal sides.ģ. The point at which these legs join is called the vertex of the isosceles triangle, and the angle opposite to the hypotenuse is called the vertex angle and the other two angles are called base angles.ġ. These congruent sides are called the legs of the triangle.

Here, we will learn about Isosceles and the Equilateral triangle and their theorem, and based on which we will solve some examples.Īn isosceles triangle is a triangle that has at least two congruent sides. Three types of triangles are differentiated based on the length of their vertex. The total sum of the three angles of the triangle is 180 degrees.

A triangle is a polygon with 3 vertices and 3 sides which makes 3 angles.

Isosceles and equilateral triangles worksheet answers explained