Geometry midsegment, Angle Bisector

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 its length is half the length of that side.

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 then use the formula: Length of midsegment = 1/2 * Length of the third side.

Front

What is an angle bisector?

Back

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

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

Front

If TS is a midsegment of triangle GHI, what can be said about the lengths of GH and TI?

Back

The length of TS is equal to half the length of side GI, and TS is parallel to side GI.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

What is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles that form a straight line. They are supplementary, meaning their measures add up to 180 degrees.

Front

How do you determine if two angles are corresponding angles?

Back

Two angles are corresponding angles if they are in the same position at each intersection where a straight line crosses two others. They are equal when the lines are parallel.

Front

What is the relationship between alternate interior angles when two parallel lines are cut by a transversal?

Back

Alternate interior angles are equal when two parallel lines are cut by a transversal.

Front

Back