Exploring Types of Triangles and Their Angles

This video tutorial covers the types of triangles, including isosceles, equilateral, and scalene, and their properties. It explains the sum of interior angles in a triangle and introduces the exterior angle theorem, which states that an exterior angle is equal to the sum of the two remote interior angles.

What is a characteristic of an isosceles triangle?

• It has one right angle.

• Two sides are congruent.

• All angles are 60 degrees.

• All sides are different.

In an isosceles triangle, which angles are congruent?

• The angles adjacent to the congruent sides.

• All angles.

• The angles opposite the congruent sides.

• None of the angles.

What is true about the sides of an equilateral triangle?

• All sides are different.

• Two sides are congruent.

• All sides are congruent.

• It has one right angle.

What is the measure of each angle in an equilateral triangle?

• 45 degrees

• 60 degrees

• 90 degrees

• 120 degrees

Which statement is true about a scalene triangle?

• It has one right angle.

• All sides are different.

• Two sides are congruent.

• All sides are congruent.

What is the sum of the interior angles of any triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

In a triangle, if angle A is 50 degrees and angle B is 60 degrees, what is angle C?

• 70 degrees

• 80 degrees

• 90 degrees

• 100 degrees

What does the exterior angle theorem state?

• The exterior angle is equal to the sum of all interior angles.

• The exterior angle is equal to the difference of the two remote interior angles.

• The exterior angle is equal to the sum of the two remote interior angles.

• The exterior angle is equal to the sum of the two adjacent interior angles.

If angle A is 40 degrees and angle B is 50 degrees, what is the exterior angle D?

• 120 degrees

• 110 degrees

• 100 degrees

• 90 degrees

Which angles are referred to as the remote interior angles in the exterior angle theorem?

• The angles outside the triangle.

• The angles inside the triangle.

• The angles opposite the exterior angle.

• The angles adjacent to the exterior angle.