Exploring Segment Bisectors and Midpoint Formula

What are the main topics covered in this video?

• Polygons, area, and perimeter

• Circles, tangents, and secants

• Midpoints, segment bisectors, and the midpoint formula

• Angles, triangles, and the Pythagorean theorem

What is the definition of a midpoint?

• A point that is the center of a circle

• A point that is the intersection of two lines

• A point that divides a segment into two congruent segments

• A point that divides an angle into two equal angles

What is a segment bisector?

• A line that is parallel to a segment

• A line that is perpendicular to a segment

• A line that divides an angle into two equal angles

• A line, line segment, or ray that intersects a segment at its midpoint

If segment RT is the segment bisector of segment PS, what can be said about segment PQ and segment QS?

• They are congruent to each other

• They are perpendicular to each other

• They are parallel to each other

• They are equal in length to segment PS

What equation can be written if segment PQ and segment QS are congruent?

• 4x + 1 = 3x + 3

• 4x - 1 = 3x + 3

• 4x + 1 = 3x - 3

• 4x - 1 = 3x - 3

What does the midpoint formula allow us to find?

• The area of a triangle

• The coordinates of the midpoint of a segment on a coordinate plane

• The length of a segment

• The slope of a line

How do you find the x-coordinate of the midpoint using the midpoint formula?

• Add the x-coordinates of the endpoints and divide by 2

• Subtract the x-coordinates of the endpoints and divide by 2

• Multiply the x-coordinates of the endpoints and divide by 2

• Divide the x-coordinates of the endpoints by 2

Given points (2, -2) and (4, 6), what is the x-coordinate of the midpoint?

• 3

• 2

• 1

• 4

Given points (2, -2) and (4, 6), what is the y-coordinate of the midpoint?

• 4

• 3

• 2

• 1

Given points (5, 7) and (-2, -1), what is the midpoint?

• (2, 1.5)

• (3, 1.5)

• (1.5, 2)

• (1.5, 3)