Which of the following does not always bisect at least one side
Incomplete.
find the distance between K(9,2) AND L(-3,9)to the nearest tenth
Find the distance between k(9,2) and l(-3,9) to the nearest tenth
To determine which of the following does not always bisect at least one side, we need to understand the concept of bisection.
Bisection refers to dividing something into two equal parts. In the context of geometry, bisection usually refers to dividing a line segment or an angle into two equal parts.
Now, let's examine the options to determine which one does not always bisect at least one side:
1. Perpendicular bisector of a line segment: A perpendicular bisector is a line that divides a given line segment into two equal parts at a right angle. It always bisects the line segment at one of its sides.
2. Angle bisector of an angle: An angle bisector is a ray that divides an angle into two equal parts. It always bisects the angle at one of its sides.
3. Diagonal of a rectangle: A diagonal is a line segment that connects any two nonadjacent vertices of a rectangle. A diagonal always bisects a rectangle into two congruent right triangles. Therefore, it always bisects at least one side of the rectangle.
4. Median of a triangle: A median is a line segment joining a vertex of a triangle to the midpoint of the opposite side. A median divides a triangle into two smaller triangles. It always bisects at least one side of the triangle.
Based on the explanations above, all the given options always bisect at least one side except for option number 4, which is the median of a triangle. A median does not always bisect a side of the triangle. It can sometimes be coincident with one of the sides of the triangle, meaning that it does not divide the side into two equal parts.
Therefore, the correct answer is option number 4 - median of a triangle.