Triangle Properties and Angle Measures

Mr. Robinson's video tutorial covers the properties and problem-solving techniques for isosceles and equilateral triangles. The video begins with an introduction to these triangle types, followed by a detailed explanation of their properties, including congruent sides and angles. The tutorial includes examples of solving problems involving isosceles and equilateral triangles, demonstrating how to find missing measures and apply triangle properties. The video concludes with a graph-based problem to identify triangle types using side measures.

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

• 360 degrees

• 90 degrees

• 270 degrees

• 180 degrees

In an equilateral triangle, what is the measure of each angle?

• 45 degrees

• 60 degrees

• 120 degrees

• 90 degrees

What is a scalene triangle?

• A triangle with all sides congruent

• A triangle with all angles equal

• A triangle with no congruent sides or angles

• A triangle with two congruent sides

What are the congruent sides of an isosceles triangle called?

• Vertex

• Legs

• Base

• Hypotenuse

In an isosceles triangle, what are the angles opposite the congruent sides called?

• Base angles

• Vertex angles

• Right angles

• Acute angles

If an isosceles triangle has a vertex angle of 40 degrees, what is the measure of each base angle?

• 50 degrees

• 80 degrees

• 60 degrees

• 70 degrees

In the first example, what is the measure of angle F in the isosceles triangle?

• 58 degrees

• 101 degrees

• 22 degrees

• 79 degrees

In the second example, what is the measure of angle G?

• 44 degrees

• 88 degrees

• 66 degrees

• 22 degrees

In the third example, what is the value of x?

• 5

• 6

• 8

• 7

In the final example, what is the value of y?

• 4.5

• 5

• 6

• 7