Coordinate geometry

What is the midpoint of the line segment shown?

Remember to write your answer as a point. Do NOT use spaces between characters. Write your answer as a decimal. Just write the answer...no need for a complete sentence.

Which property, definition, postulate, or theorem justifies the following statement?

If  $\overline{FG}\cong\overline{GH}$  , then  $FG=GH$  .

• Definition of Congruence

• Definition of Midpoint

• Midpoint Congruence Theorem

• Symmetric Property of Congruence

Find the midpoint of the line segment shown in the diagram.

• (0,1)

• (-4,1)

• (-1,-2)

• (-4,-2)

(-5, 10), (5, 2)

• $\frac{4}{5}$

• $-\frac{5}{4}$

• $\frac{5}{4}$

• $-\frac{4}{5}$

Find the coordinates of the intersection of the diagonals of the parallelogram with the given vertices.

Answer explanation

Use the midpoint formula. Use the vertices of one of the diagonals. It's easy to use the point (0,0) in this problem.

What is the x-coordinate of the midpoint between (-4,4) and (-2,2)?

• 3

• -3

• 4

• 6

Find the other end point of a line segment with given end point (6,8) and mid point (5,-9).

• (4,-26)

• (0.5,8.5)

• (-6,4)

• (7,-2)

Suppose a line segment starts at -4 and has a midpoint at 0. What is the value of the other endpoint?

• 2

• 5

• 4

• Not enough information

Find the x-coordinate of the midpoint 

• 1

• 0.5

• 3

• 1.5

What is the endpoint of the line segment if the other endpoint is (5, 1) and the midpoint is (3, 3)?

• (1, 5)

• (3, 3)

• (5, 1)

• None of the above