Midpoint and Segment Relationships in Geometry Quiz

Test your knowledge on midpoint formula, segment partition, and geometric relationships. Questions & answers provided.

Practice Learn Test

Which of the following represents the midpoint formula for a line segment with endpoints (x₁, y₁) and (x₂, y₂)?

((x₁ + x₂) / 2, (y₁ + y₂) / 2)

(x₁ + x₂, y₁ + y₂)

(x₁ - x₂, y₁ - y₂)

(x₂ - x₁, y₂ - y₁)

If the coordinates of endpoints of a line segment are A(2, 5) and B(8, 10), what is the midpoint of the segment AB?

(5, 7.5)

(6, 8.5)

(4, 7)

(10, 15)

What is the equation of the line segment with endpoints (1, 3) and (5, 9)?

y = 2x + 1

y = x + 2

y = 2x + 3

y = x + 3

If the midpoint of a line segment is (2, -3) and one endpoint is (-4, 8), what are the coordinates of the other endpoint?

(8, -14)

(6, -6)

(4, -11)

(0, 2)

If the midpoint of a line segment is (3, 2) and one endpoint is (1, 4), what are the coordinates of the other endpoint?

(5, 0)

(7, 0)

(5, 4)

(7, 4)

In a triangle, if the midpoints of two sides are connected, what type of line is formed?

Perpendicular bisector

Median

Altitude

Mid-segment

If the midpoint of a line segment is (3, -4) and one endpoint is (-1, 6), what are the coordinates of the other endpoint?

(7, -14)

(5, -8)

(4, -2)

(6, -12)

In a quadrilateral, if the midpoints of all four sides are connected, what is formed?

Parallelogram

Rectangle

Square

Rhombus

If the coordinates of endpoints of a line segment are A(3, -2) and B(7, 6), what is the midpoint of the segment AB?

(4, 2)

(5, 2)

(5, 3)

(6, 4)

#10

In a triangle, if the midpoints of all three sides are connected, what is formed?

Centroid

Orthocenter

Circumcenter

Incenter

#11

Given two points A(3, -2) and B(7, 6), what are the coordinates of the point that partitions the line segment AB into a 2:3 ratio?

(4, 0)

(5, 2)

(6, 4)

(8, 7)

#12

Given three points A(1, 2), B(5, 6), and C(9, 10), which point divides the line segment AB in the ratio 3:2?

(4, 5)

(5, 6)

(6, 7)

(7, 8)

#13

Given two points A(2, -3) and B(-4, 5), what are the coordinates of the point that partitions the line segment AB into a 3:1 ratio?

(-1, 1)

(0, 0)

(1, -1)

(3, -1)

#14

If the equation of a line segment is y = 2x + 3 and one endpoint is (1, 5), what are the coordinates of the other endpoint?

(0, 2)

(2, 7)

(3, 7)

(4, 9)

#15

Given two points A(1, 4) and B(5, 8), what are the coordinates of the point that partitions the line segment AB into a 1:2 ratio?

(3, 6)