bisectors in triangles

Front

What is a bisector in a triangle?

Back

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

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line, segment, or ray that passes through the midpoint of a side of a triangle and creates a 90-degree angle with that side.

Front

What is an angle bisector?

Back

An angle bisector is a line, segment, or ray that divides an angle into two equal angles.

Front

What is the median of a triangle?

Back

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

Front

What is the altitude of a triangle?

Back

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

Front

If AD = 12 and BC = 16, what is the relationship between these segments?

Back

AD and BC are segments that can represent the lengths of the sides of a triangle, showing how bisectors can divide them.

Front

How do you find the length of a segment using the properties of bisectors?

Back

You can use the properties of bisectors, such as the fact that they divide segments into equal lengths, to set up equations and solve for unknown lengths.

Front

What is the significance of the centroid in relation to medians?

Back

The centroid is the point where all three medians of a triangle intersect, and it divides each median into a ratio of 2:1.

Front

What is the relationship between the angle bisector and the opposite side?

Back

The angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

Front

If x = 15, what is the measure of JK if JK = 3x + 5?

Back

JK = 3(15) + 5 = 50.