5.3 - Bisectors in Triangles (2)

Front

What is a bisector in a triangle?

Back

A bisector in a triangle is a line segment that divides an angle into two equal parts.

Front

What is the Perpendicular Bisector Theorem?

Back

The Perpendicular Bisector Theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Front

How do you find the base angles in an isosceles triangle?

Back

In an isosceles triangle, the base angles are equal, and you can find them by using the formula: (180 - vertex angle) / 2.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

If one angle of a triangle measures 60 degrees, what is the maximum measure of the other two angles?

Back

The maximum measure of the other two angles can be 60 degrees each, making the triangle equilateral.

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

How do you calculate the length of a side in a triangle using 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 other two sides.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it is also the center of mass.

Front

What is the formula for finding the area of a triangle?

Back

The area of a triangle can be found using the formula: Area = 1/2 * base * height.

Front

What is the definition of a median in a triangle?

Back

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