Triangle Properties and Angle Measures

The video tutorial covers the classification of triangles by their angles and sides. It explains the characteristics of acute, right, and obtuse triangles, as well as equilateral, isosceles, and scalene triangles. The tutorial also demonstrates solving for unknown side lengths using algebraic expressions and applies these concepts to real-world problems. The lesson concludes with a brief introduction to the next topic, the triangle sum theorem.

What are the two main ways to classify triangles?

• By their perimeter and area

• By their angle measure and side lengths

• By their color and size

• By their height and base

What are the names of the vertices of triangle ABC?

• Vertices A, B, C

• Vertices D, E, F

• Vertices X, Y, Z

• Vertices M, N, O

What is an acute triangle?

• A triangle with all sides equal

• A triangle with one right angle

• A triangle with one obtuse angle

• A triangle with three acute angles

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

• 45 degrees

• 60 degrees

• 90 degrees

• 120 degrees

How many right angles does a right triangle have?

• One

• Two

• Three

• None

What is the defining feature of an obtuse triangle?

• It has three equal sides

• It has one angle greater than 90 degrees

• It has two right angles

• It has all angles less than 90 degrees

What is the measure of angle ABD in triangle ABD?

• 30 degrees

• 60 degrees

• 90 degrees

• 120 degrees

What type of triangle is BCD if all its angles are 60 degrees?

• Scalene

• Right

• Isosceles

• Equiangular

What is an equilateral triangle?

• A triangle with all sides equal

• A triangle with one right angle

• A triangle with two equal sides

• A triangle with all sides different

What is the segment addition postulate?

• The sum of the sides of a triangle is equal to its perimeter

• The sum of the lengths of two segments equals the length of the entire segment

• The sum of the lengths of two segments equals the length of the third segment

• The sum of the angles in a triangle is 180 degrees