Find the distance between two points that have the same y-coordinate.

Distance between two points formula:

√(x₂ - x₁)² + (y₂ - y₁)²

Since the y-coordinates are the same, they eliminate each other in the formula and therefore they will be 0.

New formula (for points that have the same y-coordinates):

√(x₂ - x₁)²

Eliminate √ and ² since they cancel each other out.

Basically:

x₂ - x₁

Example:

(2,4) and (6,4)

6 - 2 = 4

The distance is 4.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc