triangle angle bisector/midsegment practice

Front

What is an angle bisector in a triangle?

Back

An angle bisector is a line segment that divides an angle into two equal parts.

Front

What is the Triangle Angle Bisector Theorem?

Back

The Triangle Angle Bisector Theorem states that the angle bisector of an angle in a triangle divides the opposite side into segments that are proportional to the lengths of the other two sides.

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

Front

What is the relationship between a triangle's midsegment and its sides?

Back

The length of a midsegment is half the length of the side it is parallel to.

Front

If QR is a midsegment of triangle WUV, and UV = 16, what is the length of QR?

Back

QR = 8 (since QR is half of UV).

Front

How do you find the length of a missing side using the angle bisector theorem?

Back

Set up a proportion using the lengths of the segments created by the angle bisector and solve for the missing length.

Front

If the lengths of two sides of a triangle are 10 and 15, what is the maximum length of the third side?

Back

The maximum length of the third side is less than 25 (10 + 15).

Front

What is the minimum length of the third side if the other two sides are 10 and 15?

Back

The minimum length of the third side is greater than 5 (15 - 10).

Front

In triangle ABC, if AB = 12, AC = 16, and the angle bisector of angle A intersects BC at D, what is the ratio of BD to DC?

Back

The ratio BD:DC = AB:AC = 12:16 or 3:4.

Front

What is the formula for finding the length of a midsegment in a triangle?

Back

Length of midsegment = 1/2 * (length of the side it is parallel to).