Triangle Properties and Theorems

The video tutorial covers the classification of triangles by their sides and angles, including equilateral, isosceles, scalene, acute, obtuse, right, and equiangular triangles. It demonstrates the use of the distance formula to determine side lengths and classify triangles on a coordinate plane. The tutorial also explains the triangle angle sum theorem, stating that the sum of interior angles is always 180 degrees, and the exterior angle sum theorem, which states that the sum of exterior angles is always 360 degrees. Additionally, the remote interior angles theorem is discussed, highlighting the relationship between remote interior angles and an exterior angle.

What is the name of a triangle with all sides of equal length?

• Equilateral

• Isosceles

• Right

• Scalene

Which type of triangle has two sides of equal length?

• Isosceles

• Scalene

• Equilateral

• Right

What is a triangle called when all its sides are of different lengths?

• Right

• Isosceles

• Equilateral

• Scalene

What type of triangle has all angles less than 90 degrees?

• Obtuse

• Equiangular

• Right

• Acute

If a triangle has one angle greater than 90 degrees, what is it called?

• Obtuse

• Right

• Acute

• Equiangular

What is the maximum number of right angles a triangle can have?

• Two

• One

• None

• Three

What is a triangle called if all its angles are equal?

• Isosceles

• Equiangular

• Scalene

• Equilateral

Which theorem states that all equilateral triangles are also equiangular?

• Triangle Angle Sum Theorem

• Remote Interior Angles Theorem

• Pythagorean Theorem

• Equilateral-Equiangular Theorem

What is the first step in classifying a triangle on a coordinate plane?

• Calculate perimeter

• Measure area

• Use the distance formula

• Check angles

Which formula is used to determine the length of sides in a coordinate plane?

• Perimeter formula

• Area formula

• Distance formula

• Slope formula