Practice: 5.1, 5.3

Front

What are altitudes in a triangle?

Back

Altitudes are segments drawn from a vertex of a triangle perpendicular to the opposite side.

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the three altitudes of a triangle intersect.

Front

If G is the centroid of triangle ABC, what is the relationship between the segments created by the centroid?

Back

The centroid divides each median into two segments, with the segment connecting the vertex to the centroid being twice as long as the segment connecting the centroid to the midpoint of the opposite side.

Front

What is the Perpendicular Bisector Theorem?

Back

The Perpendicular Bisector Theorem states that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

Front

How do you find the length of a segment using the centroid?

Back

If GE is the segment from the centroid to the midpoint of side AB, then BE = 2 * GE.

Front

What are medians in a triangle?

Back

Medians are segments drawn from each vertex of a triangle to the midpoint of the opposite side.

Front

What are angle bisectors in a triangle?

Back

Angle bisectors are segments that divide an angle into two equal parts.

Front

What is the relationship between the orthocenter and the altitudes of a triangle?

Back

The orthocenter is the point where all three altitudes of a triangle intersect.

Front

If the length of GE is 7, what is the length of BE?

Back

BE = 2 * GE = 2 * 7 = 14.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the center of mass of the triangle and is located at the intersection of the medians.