Midsegments and Perpendicular/Angle Bisectors Flashcard

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. It is parallel to the third side and half its length.

Front

How do you find the length of a midsegment?

Back

To find the length of a midsegment, take the average of the lengths of the two sides it connects and divide by 2.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the relationship between a perpendicular bisector and the points on it?

Back

Any point on the perpendicular bisector is equidistant from the endpoints of the segment it bisects.

Front

How do you determine if a line is a perpendicular bisector?

Back

To determine if a line is a perpendicular bisector, check if it is perpendicular to the segment and bisects it into two equal lengths.

Front

What is an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

What is the property of points on an angle bisector?

Back

Any point on the angle bisector is equidistant from the two sides of the angle.

Front

How do you find the length of an angle bisector in a triangle?

Back

Use the angle bisector theorem, which states that the ratio of the lengths of the two segments created by the bisector is equal to the ratio of the lengths of the other two sides.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles, as they are parallel to one side of the triangle and half its length.

Front

What is the formula for the length of a midsegment?

Back

Length of midsegment = 1/2 * (length of the third side).