Triangle Properties and Classifications

This video from ultimatealgebra.com introduces the concept of triangles, focusing on their properties and classifications. It covers the sum of interior angles, types of triangles based on side lengths (equilateral, isosceles, scalene), and types based on angles (acute, right, obtuse). The video emphasizes the importance of understanding these properties for solving geometry problems.

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

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

Which of the following is a property of an equilateral triangle?

• Two sides are equal

• All angles are 90 degrees

• No sides are equal

• All sides and angles are equal

How many lines of symmetry does an equilateral triangle have?

• None

• Three

• Two

• One

In an isosceles triangle, where are the equal angles located?

• At the apex

• At the midpoint of the base

• Where the two equal sides meet

• At the base

How many lines of symmetry does an isosceles triangle have?

• Three

• Two

• One

• None

Which statement is true about a scalene triangle?

• It has no equal sides or angles

• It has one line of symmetry

• It has all equal angles

• It has two equal sides

What is a characteristic of an acute triangle?

• All angles are less than 90 degrees

• All sides are equal

• It has a right angle

• It has an angle greater than 90 degrees

Which type of triangle has one angle exactly equal to 90 degrees?

• Acute triangle

• Right triangle

• Obtuse triangle

• Equilateral triangle

What defines an obtuse triangle?

• One angle is greater than 90 degrees

• All sides are equal

• It has a right angle

• All angles are less than 90 degrees

Which of the following triangles can also be classified as an acute triangle?

• Equilateral triangle

• Right triangle

• Scalene triangle

• Obtuse triangle