Using angle bisector theorem to determine missing length of a triangle

The video tutorial explains the concept of an angle bisector and how it divides an angle into two proportional triangles. The instructor demonstrates solving a proportion problem using given values and a calculator, concluding with the final result.

What does an angle bisector do to an angle?

• It divides the angle into two equal parts.

• It triples the angle.

• It doubles the angle.

• It leaves the angle unchanged.

When an angle bisector creates two triangles, what is true about these triangles?

• They are congruent.

• They are identical.

• They are similar.

• They are proportionate.

In the given example, what is the ratio of 26 to 12?

• 2:1

• 13:6

• 26:12

• 1:2

What is the first step in solving the proportion equation 26 * 8 = 12 * m?

• Subtract 8 from both sides.

• Multiply both sides by 12.

• Divide both sides by 12.

• Add 12 to both sides.

What is the final value of m in the equation 26 * 8 = 12 * m?

• 18

• 16

• 17

• 17 and 1/3