# Worksheet: Midpoint on the Coordinate Plane

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:

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

• A
• B
• C
• D

Q3:

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

• A ,
• B ,
• C ,
• D ,

Q4:

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

• A
• B
• C
• D

Q5:

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 ,

Q6:

, , , 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 ,

Q7:

If is the midpoint of , where , , find the values of and .

• A ,
• B ,
• C ,
• D ,

Q8:

is the midpoint of . Find the values of and if the coordinates of, , and are , , and respectively.

• A ,
• B ,
• C ,
• D ,

Q9:

The coordinates of the points , , and in the parallelogram are , , and , respectively. If the point lies on such that , determine the coordinates of the points and .

• A ,
• B ,
• C ,
• D ,

Q10:

The point is on ray but not segment , and its distance from is 2 times its distance from . What are its coordinates?

• A
• B
• C
• D

Q11:

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

• A ,
• B ,
• C ,
• D ,
• E ,

Q12:

Find the point on the -axis and the point on the -axis such that is the midpoint of .

• A ,
• B ,
• C ,
• D ,
• E ,

Q13:

Point is the midpoint of the line segment on endpoints and . What is ?

Q14:

, , , , and are points on the trapezoid . If is parallel to , what is the -coordinate of point ?

Q15:

Suppose the circle of center and diameter , where . Find the coordinates of , and give the circumference to two decimal places.

• A , 7.02
• B , 3.93
• C , 7.02
• D , 3.51

Q16:

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?

• A 6 m, 6 m
• B 6 m, 3.5 m
• C 3.5 m, 4.5 m
• D 1 m, 3 m
• E 4 m, 8 m

Q17:

Consider the two points and .

Find an expression for the midpoint of the line segment .

• A
• B
• C
• D
• E

and have the coordinates and respectively. Find the midpoint of the line segment .

• A(0, 6)
• B(0, 3)
• C
• D
• E

Q18:

On the graph, which point is halfway between and ?

• A
• B
• C
• D
• E

Q19:

Points and have coordinates and respectively. Is the point the midpoint of segment ?

• Byes
• Cno

Q20:

Two points and are at and respectively. Point lies on the line segment such that the lengths of and are equal. Find the coordinates of .

• A
• B
• C
• D
• E

Q21:

If the coordinates of the points and are and respectively, find the midpoint of .

• A
• B
• C
• D

Q22:

Which number is at the midpoint of ?

Q23:

If is the midpoint of , find the values of and if the coordinates of , , and are , , and respectively.

• A ,
• B ,
• C ,
• D ,

Q24:

Suppose that and . What is the midpoint of ?

• A
• B
• C
• D

Q25:

Suppose , , and . If is the midpoint of both and , find .

• A
• B
• C
• D