Special Segments

Front

What is an angle bisector?

Back

An angle bisector is a segment that divides an angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

How does an altitude function in a triangle?

Back

An altitude is a segment that connects a vertex of the triangle to the opposite side, forming a right angle (90 degrees) with that side.

Front

What is the relationship between an angle bisector and the angles it divides?

Back

The angle bisector creates two angles that are congruent (equal in measure).

Tags

CCSS.HSG.CO.C.9

Front

Can an angle bisector be drawn in any triangle?

Back

Yes, every triangle has three angle bisectors, one for each angle.

Tags

CCSS.HSG.CO.C.9

Front

What is the significance of the altitude in triangle area calculation?

Back

The altitude is used in the formula for the area of a triangle: Area = 1/2 * base * height (where height is the length of the altitude).

Tags

CCSS.6.G.A.1

Front

What is the difference between an angle bisector and a median in a triangle?

Back

An angle bisector divides an angle into two equal parts, while a median connects a vertex to the midpoint of the opposite side.

Tags

CCSS.HSG.CO.C.9

Front

What is the point of intersection of the three altitudes in a triangle called?

Back

The point of intersection of the three altitudes is called the orthocenter.

Tags

CCSS.HSG.C.A.3

Front

What is the point where the three angle bisectors of a triangle intersect?

Back

The point where the three angle bisectors intersect is called the incenter.

Tags

CCSS.HSG.C.A.3

Front

How can you identify an angle bisector in a diagram?

Back

An angle bisector is often marked with a dashed line or specific markings indicating that it divides the angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

What is the relationship between the incenter and the sides of a triangle?

Back

The incenter is equidistant from all three sides of the triangle.

Tags

CCSS.HSG.C.A.3