Properties and Equations of Triangles

The video tutorial explains how to use the properties of equilateral triangles to solve for unknown variables. It covers the concepts of congruent sides and angles, and demonstrates how to calculate the measure of angles in an equilateral triangle. The tutorial provides examples of solving for variables x and y using both angle and side properties, emphasizing the equiangular and congruent nature of equilateral triangles.

What is a key property of an equilateral triangle?

• All sides are congruent.

• All angles are different.

• All sides are different lengths.

• It has one right angle.

If a triangle is equilateral, what can be said about its angles?

• They are all acute.

• They are all right angles.

• They are all congruent.

• They are all obtuse.

How do you find the measure of each angle in an equilateral triangle?

• Divide 180 degrees by 2.

• Multiply 60 degrees by 3.

• Divide 180 degrees by 3.

• Subtract 60 degrees from 180.

In the equation 4x - 8 = 60, what is the value of x?

• 17

• 20

• 15

• 18

What is the first step to solve the equation 4x - 8 = 60?

• Divide both sides by 4.

• Add 8 to both sides.

• Multiply both sides by 4.

• Subtract 8 from both sides.

In the equation 5y + 2 = 60, what is the value of y?

• 11.8

• 11.6

• 11.4

• 11.2

What is the first step to solve the equation 5y + 2 = 60?

• Multiply both sides by 5.

• Add 2 to both sides.

• Divide both sides by 5.

• Subtract 2 from both sides.

If one side of an equilateral triangle is 41, what is the length of the other sides?

• 43

• 40

• 42

• 41

In the equation 2x + 29 = 41, what is the value of x?

• 7

• 8

• 6

• 5

What is the first step to solve the equation 2x + 29 = 41?

• Subtract 29 from both sides.

• Divide both sides by 2.

• Add 29 to both sides.

• Multiply both sides by 2.