Angle Bisector Theorem Flashcardizz Practice

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that the ratio of the lengths of the two segments created by an angle bisector is equal to the ratio of the lengths of the two opposite sides.

Front

If a triangle has sides of lengths 6 and 9, and an angle bisector divides the opposite side into segments of lengths x and y, what is the relationship between x and y?

Back

Front

How do you find the length of a segment created by an angle bisector?

Back

Use the Angle Bisector Theorem: Set up the proportion based on the lengths of the sides adjacent to the angle and solve for the unknown segment.

Front

What is the first step in applying the Angle Bisector Theorem?

Back

Identify the angle being bisected and the lengths of the two sides that form the angle.

Front

In a triangle, if one side is 15 and the other is 9, what is the ratio of the segments created by the angle bisector?

Back

Front

If the angle bisector divides the opposite side into segments of lengths 10 and x, and the adjacent sides are 12 and 8, how do you set up the equation?

Back

Front

What is the significance of the Angle Bisector Theorem in geometry?

Back

It helps in solving problems related to triangle side lengths and angle measures, providing a method to find unknown lengths.

Front

If the lengths of the sides adjacent to the angle are 6 and 9, what is the correct proportion for the angle bisector?

Back

Front

What is the formula to find the length of the angle bisector in a triangle?

Back

Front

How can you verify the correctness of your angle bisector calculations?

Back

Check if the ratios of the segments created by the angle bisector match the ratios of the adjacent sides.