# What is a triangle with 3 congruent angles called?

## What is a triangle with 3 congruent angles called?

Equilateral triangle: three congruent sides and three congruent angles (three sides of equal length and three angles of equal measure).

Are triangles congruent if all angles are the same?

Congruent triangles have the same corresponding angle measures and side lengths. The triangle congruence criteria are: SSS (Side-Side-Side)

### How many angles are congruent in a triangle?

Two triangles are congruent if they have: exactly the same three sides and. exactly the same three angles.

Do all triangles have three congruent angles?

When a triangle has three congruent sides, we call the triangle an equilateral triangle. The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.

#### What is a triangle with at least 2 congruent sides?

Isosceles triangles have at least two congruent sides and at least two congruent angles. The congruent sides, called legs, form the vertex angle.

Is Asa congruent?

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

## What is a triangle with all sides and angles congruent?

When a triangle has three congruent sides, we call the triangle an equilateral triangle. We mark the congruent sides by a slash mark. The angles in an equilateral triangle are always 60°. When a triangle has two congruent sides it is called an isosceles triangle.

Does a right triangle have all congruent sides?

Explanation: Right triangles are congruent if both the hypotenuse and one leg are the same length. These triangles are congruent by HL, or hypotenuse-leg.

### What triangle has all congruent sides?

equilateral triangle
An equilateral triangle means that the three sides of your triangle are all congruent.

What sides of a triangle are congruent?

In geometry, if two segments are congruent, then they have the same length or measure. In other words, congruent sides of a triangle have the same length. A triangle can be classified by its sides: A triangle with no congruent sides is called scalene.

#### How do you prove that triangles are congruent?

The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.

How do you determine congruent triangles?

There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL. SSS stands for “side, side, side” and means that we have two triangles with all three sides equal. For example: (See Solving SSS Triangles to find out more) If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

## What are some real-life examples of congruent triangles?

Example 1: PQR is an isosceles triangle. L and M are the midpoints of the equal sides of the triangle.

• Example 2: Check if the given triangles below are congruent and state the criterion test for congruence in triangles.
• Example 3: Identify the rule of congruence in the triangles ABC and DCB,and prove that they are congruent triangles.
• Are triangles similar or congruent?

Triangles do not have to be symmetric to be similar and congruent. Congruent means that a triangle has the same angle measures and side lengths of another, but it might be positioned differently, maybe rotated. Similar only means the angles are the same.