Lesson 6-3 Midpoint and Distance

1.

Multiple Choice

5 mins

1 pt

Describe and correct the error a student made in finding the midpoint of CD with C(−4,5) and D(−1,−4).

The student used incorrect coordinates when calculating the midpoint.

The student did not divide the numerator and denominator by 2 when calculating the midpoint.

The student swapped the x- and y-values when calculating the midpoint.

The student did not add the x- and y-coordinates when calculating the midpoint.

2.

Fill in the Blank

5 mins

1 pt

The coordinates of point T are (0,2).

The midpoint of ST is (1,−3).

Find the coordinates of point S.

(Type an ordered pair)

3.

Fill in the Blank

1 min

1 pt

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

4.

Multiple Choice

3 mins

1 pt

Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)

(-5.5, -7.5)

(-1.5, -0.5)

(-3, -1)

(0.5, 1.5)

5.

Fill in the Blank

1 min

1 pt

Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)

6.

Multiple Choice

3 mins

1 pt

Find the endpoint of the segment with one endpoint of (-4, 5) and midpoint of (7, -9).

(18, -23)

(13, 18)

(11,4)

(1.5, -2)

7.

Fill in the Blank

1 min

1 pt

8.

Multiple Choice

2 mins

1 pt

If point S is the midpoint of segment RT, what conclusion can you make?

It is not possible to make a conclusion from the given information.

9.

Fill in the Blank

1 min

1 pt

Find the value of x.

10.

Multiple Choice

30 sec

1 pt

Given that M is the midpoint of

\overline{AB}

and

AB=30

find AM.

15

30

10

not enough information

11.

Fill in the Blank

1 min

1 pt

Given that AB = 27, find AC.

12.

Multiple Choice

30 sec

1 pt

Find the value of x if AB = 4x + 3 and BC = 21

10.5

4.5

6

21

13.

Multiple Choice

3 mins

1 pt

B is the midpoint of AC. Find AB.

8

AB = 8

AB=8

14.

Fill in the Blank

1 min

1 pt

Q is the midpoint of PR.

PQ = 6x – 7 and QR = 5x + 1.

Find the length of PR.

15.

Multiple Choice

2 mins

1 pt

8.1

7.6

9.2

12.8

16.

Fill in the Blank

1 min

1 pt

Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school? (What is the shortest distance between school and Becky's house?)

17.

Fill in the Blank

1 min

1 pt

Find the distance between ( 1, 3) and (5, 6)

18.

Fill in the Blank

1 min

1 pt

19.

Fill in the Blank

1 min

1 pt

Find the distance between J and K. Round to the nearest tenth.

20.

Multiple Choice

3 mins

1 pt

Find the direct distance between the court house and the town hall.

26 km

6.8 km

10 km

7.2 km

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