# Characteristics of an isosceles triangle

## What are properties of an isosceles triangle?

## What are 3 characteristics of a triangle?

A triangle has **three sides, three angles, and three vertices**. The sum of all internal angles of a triangle is always equal to 180^{°}^{.} This is called the angle sum property of a triangle. The sum of the length of any two sides of a triangle is greater than the length of the third side.

## How do you identify an isosceles triangle?

## Which is the best definition of an isosceles triangle?

mathematics. : **a triangle in which two sides have the same length**.

## Which properties belong to all isosceles triangles check all that apply?

**All three angles are congruent**. The two sides opposite the base angles are congruent. All three sides are congruent. The bisector of the vertex angle is the perpendicular bisector of the base.

## What are the two ways that you can determine whether a triangle is isosceles?

**showing that a triangle has two congruent sides or by showing that it has two congruent angles**.

## How do you tell if a triangle is isosceles by points?

**Steps to Coordinate Proof**

- plot the 3 points(optional)
- use the distance formula to calculate the side length of each side of the triangle.
- If any 2 sides have equal side lengths, then the triangle is isosceles.

## Is isosceles triangle congruent?

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

## What are the properties of isosceles and equilateral triangles?

## What are the properties of an isosceles trapezoid?

## What are properties of equilateral triangle?

**All three sides are equal**. All three angles are congruent and are equal to 60 degrees. It is a regular polygon with three sides. The perpendicular drawn from vertex of the equilateral triangle to the opposite side bisects it into equal halves.

## What are the 6 properties of an isosceles trapezoid?

## How many diagonals does a isosceles triangle have?

**Triangles don’t have any diagonal**since each vertex is adjacent to the other two. And, it’s not the case with quadrilaterals because a quadrilateral will have two pairs of opposite vertices. So, quadrilaterals have 2 diagonals.

## What are the diagonals of an isosceles triangle?

…

Writing a Two-Column Proof.

Statement | Reason |
---|---|

6. Z D ¯ ≅ O I ¯ | Transitive PoC |

## How many degrees is an isosceles triangle?

**180°**.

## What are the 4 properties of a trapezoid?

**The bases are parallel to each other**. The median is parallel to both the bases and its length will be the average of the length of the bases. Sum of all the angles in a trapezoid is equal to 360°. The sum of the angles on the same side is equal to 180°.

## What are the 4 properties of a quadrilateral?

**Properties of Quadrilaterals**

- They have four vertices.
- They have four sides.
- The sum of all interior angles is 360°.
- They have two diagonals.
- A quadrilateral can be regular or irregular. A regular quadrilateral must have 4 equal sides, and 4 equal angles, and its diagonals must bisect each other.

## Is isosceles triangle congruent?

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

## Can isosceles triangles be equilateral?

**not every isosceles triangle is equilateral**.