# Lesson Worksheet: Midpoint on the Coordinate Plane Mathematics • 11th Grade

In this worksheet, we will practice finding the coordinates of a midpoint between two points or those of an endpoint on the coordinate plane.

Q1:

Given and , what are the coordinates of the midpoint of ?

• A
• B
• C
• D

Q2:

On the graph, which point is halfway between and ? • A
• B
• C
• D
• E

Q3:

Find the values of and so that is the midpoint of the line segment between and .

• A,
• B,
• C,
• D,
• E,

Q4:

Consider the points , and . Given that is a median of the triangle and is the midpoint of this median, determine the coordinates of and .

• A,
• B,
• C,
• D,

Q5:

The origin is the midpoint of the straight segment . Find the coordinates of point if the coordinates of point are .

• A
• B
• C
• D

Q6:

Given and , what are the coordinates of if is the midpoint of ?

• A
• B
• C
• D

Q7:

, , , and are collinear points. Suppose that the coordinates of points and are and , respectively, and that . What are the coordinates of and ?

• A,
• B,
• C,
• D,

Q8:

Consider the points , and . Given that is the midpoint of , find the values of and .

• A,
• B,
• C,
• D,

Q9:

Liam plotted the locations of several places in his town in this coordinate plane. Liam’s house lies halfway between the museum and the movie theater. Find the coordinates at which Liam should graph a point representing his house.

• A
• B
• C
• D
• E

Q10:

A rectangular garden is next to a house along a road. In the garden is an orange tree 7 m from the house and 3 m from the road. There is also an apple tree, 5 m from the house and 9 m from the road. A fountain is placed halfway between the trees. How far is the fountain from the house and the road?

• A6 m, 6 m
• B6 m, 3.5 m
• C3.5 m, 4.5 m
• D1 m, 3 m
• E4 m, 8 m