Midsegment and Triangle Bisectors

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 midsegment and the third side of a triangle?

Back

The midsegment is parallel to the third side and its length is half the length of the third side.

Tags

CCSS.HSG.SRT.B.4

Front

How do you find the length of a midsegment?

Back

To find the length of a midsegment, measure the lengths of the two sides it connects, find their midpoints, and use the distance formula.

Front

What is a triangle bisector?

Back

A triangle bisector is a line segment that divides an angle of the triangle into two equal angles.

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 the bisector on the opposite side is equal to the ratio of the lengths of the other two sides of the triangle.

Tags

CCSS.HSG.CO.C.9

Front

What is the significance of parallel lines in triangles?

Back

Parallel lines in triangles create similar triangles and proportional segments.

Tags

CCSS.HSG.CO.C.11

Front

If DE is a midsegment of triangle ABC, what can be said about segments AB and DE?

Back

Segment DE is parallel to segment AC and its length is half of AC.

Tags

CCSS.HSG.SRT.B.4

Front

What is the relationship between the angles formed by a triangle bisector?

Back

The angles formed by a triangle bisector are equal, meaning if a bisector divides angle A into two angles, those angles are congruent.

Tags

CCSS.HSG.CO.C.9

Front

How can you determine if two lines are parallel using angles?

Back

If two lines are cut by a transversal and the corresponding angles are equal, then the lines are parallel.

Tags

CCSS.8.G.A.5

Front

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

Back

If LN is a midsegment, then AC = 2 * LN.

Tags

CCSS.HSG.SRT.B.4