Finding Midpoints and Endpoints in Geometry

What is the definition of a midpoint?

• A point that divides a line segment into two unequal parts

• A point that divides a line segment into two congruent parts

• A point that is at the end of a line segment

• A point that is outside a line segment

What is the formula for finding the x-coordinate of the midpoint?

• (X1 / X2) / 2

• (X1 * X2) / 2

• (X1 - X2) / 2

• (X1 + X2) / 2

Given points A(-5, 1) and B(3, 7), what is the midpoint?

• (-1, 4)

• (1, 4)

• (-1, 3)

• (1, 3)

If the points are A(4, -8) and B(2, 0), what is the midpoint?

• (2, -4)

• (3, -4)

• (3, -8)

• (4, -4)

How do you handle midpoints when the sum of coordinates is not divisible by 2?

• Multiply by 2

• Ignore the decimal part

• Leave it as an improper fraction or decimal

• Round to the nearest whole number

What is the midpoint of the diameter of a circle with endpoints (-7, -7) and (8, 2)?

• (1, -3)

• (0.5, -3)

• (1, -2.5)

• (0.5, -2.5)

Where does a perpendicular bisector intersect a line segment?

• At the origin

• At a random point

• At the midpoint

• At one of the endpoints

Given midpoint M(6, 1) and endpoint A(2, 4), what is the other endpoint B?

• (10, -2)

• (8, 2)

• (10, 2)

• (8, -2)

If M(0, -3) is the midpoint and B(6, 1) is one endpoint, what is the other endpoint A?

• (-6, -7)

• (-6, -3)

• (-6, -5)

• (-6, -1)

For a circle with center (2, 3) and one endpoint of the diameter at (8, 1), what is the other endpoint?

• (-4, 5)

• (-4, 3)

• (-4, 7)

• (-4, 1)