Triangle Properties and Theorems

The video tutorial covers the properties and theorems of isosceles and equilateral triangles. It explains how to identify equal sides and angles in isosceles triangles and discusses the isosceles triangle theorem and its converse. The tutorial includes practice problems to apply these concepts, using equations to solve for unknowns. It also covers drawing triangles and solving related problems. Finally, the video explains equilateral triangles, where all sides and angles are equal, and demonstrates how to solve problems involving these triangles.

What is the main focus of the video tutorial?

• Right triangles

• Obtuse triangles

• Scalene triangles

• Isosceles and equilateral triangles

Which of the following is true about an isosceles triangle?

• All sides are equal

• Two sides are equal

• No sides are equal

• All angles are different

In an isosceles triangle, if two sides are equal, what can be said about the angles?

• The angles are all different

• The angles opposite the equal sides are equal

• All angles are equal

• The angle between the equal sides is the largest

What does the isosceles triangle theorem state?

• If a triangle has two equal angles, it has two equal sides

• If a triangle has two equal sides, it has two equal angles

• All sides and angles are equal

• The triangle is always right-angled

What is the converse of the isosceles triangle theorem?

• If a triangle has two equal sides, it has two equal angles

• The triangle is equilateral

• If a triangle has two equal angles, it has two equal sides

• All angles are 60 degrees

In a triangle with angles 68°, 68°, and 44°, which type of triangle is it?

• Equilateral

• Scalene

• Isosceles

• Right

How do you find the third angle in an isosceles triangle if two angles are known?

• Add the two angles and subtract from 180

• Multiply the two angles

• Divide the sum of the two angles by 2

• Subtract the smaller angle from the larger one

If two angles in a triangle are 37°, what is the measure of the third angle?

• 180°

• 37°

• 74°

• 106°

What is the sum of angles in any triangle?

• 270°

• 90°

• 180°

• 360°

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

• 120°

• 90°

• 60°

• 45°