Triangle Properties and Angle Relationships

This video tutorial covers angle relationships and types of triangles. It explains vertical, alternate, consecutive, and corresponding angles, highlighting their properties and relationships. The video also introduces different types of triangles, such as equilateral, isosceles, scalene, right, acute, and obtuse triangles, and discusses the sum of angles in a triangle, demonstrating that it always equals 180 degrees.

What is the defining characteristic of vertical angles?

• They are adjacent angles.

• They are angles that add up to 90 degrees.

• They are angles opposite each other when two lines cross.

• They are angles that form a straight line.

Which of the following is true about alternate exterior angles?

• They are always less than 90 degrees.

• They are always adjacent.

• They are equal in measure.

• They are always supplementary.

What is a triangle?

• A four-sided polygon.

• A shape with three curved sides.

• A three-sided polygon with straight line segments.

• A shape with two sides and one angle.

Which type of triangle has all sides and angles equal?

• Scalene triangle

• Right triangle

• Isosceles triangle

• Equilateral triangle

What is a characteristic of an isosceles triangle?

• All angles are greater than 90 degrees.

• It has two equal sides and two equal angles.

• All sides are different lengths.

• It has one right angle.

How is a scalene triangle defined?

• It has all angles equal.

• It has two equal sides.

• It has all sides of different lengths.

• It has one angle greater than 90 degrees.

What is a right triangle?

• A triangle with one angle greater than 90 degrees.

• A triangle with all sides equal.

• A triangle with one angle equal to 90 degrees.

• A triangle with all angles less than 90 degrees.

Which triangle has all angles less than 90 degrees?

• Right triangle

• Scalene triangle

• Obtuse triangle

• Acute triangle

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

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

How can the sum of the angles in a triangle be demonstrated?

• By measuring each angle individually.

• By folding the triangle into a square.

• By comparing it to a rectangle.

• By showing that the angles form a straight line when rearranged.