Ch5 REVIEW Perpendicular/Angle Bisector Theorem

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 Orthocenter of a triangle?

Back

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

Front

What is the definition of 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 an Altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is a Median in a triangle?

Back

A median is a segment that connects a vertex to the midpoint of the opposite side.

Front

How do you find the circumcenter of a triangle?

Back

The circumcenter can be found by locating the intersection of the perpendicular bisectors of the sides of the triangle.

Front

What is the relationship between the circumcenter and the vertices of a triangle?

Back

The circumcenter is equidistant from all three vertices of the triangle.

Front

What is the formula to find the circumcenter given vertices A(x1,y1), B(x2,y2), C(x3,y3)?

Back

The circumcenter can be found using the intersection of the perpendicular bisectors of the sides, which can be calculated using the coordinates of the vertices.

Front

What is the difference between an altitude and a median?

Back

An altitude is perpendicular to the opposite side, while a median connects a vertex to the midpoint of the opposite side.

Front

What is the significance of the orthocenter in a triangle?

Back

The orthocenter is the point where the altitudes intersect, and it can be inside, outside, or on the triangle depending on the type of triangle.