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Hotmath
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Hotmath
Chapter: Real Numbers and the Pythagorean Theorem Section: The Distance and Midpoint Formulas
 

Problem: 1

Find the distance between the two points. Round your answer to the nearest tenth.

(3, –8), (–2, –5)


Problem: 3

Find the distance between the points.

(6, –3), (6, 5)


Problem: 5

Find the distance between the two points. Round your answer to the nearest tenth if necessary.

(4, 0), (–4, 6)


Problem: 7

Using the midpoint formula, the coordinates of the midpoint of a segment are found to be

.

Find the coordinates of the endpoints.

 

Problem: 9

Find the midpoint of the segment with the endpoints

E (–3, 0) and H (6, –4).


Problem: 11

Find the midpoint of the segment with the endpoints

N (6.7, 7.2) and V (–5.1, 6).


Problem: 13

Find the length and midpoint of segment PQ if the coordinates of P and Q are P (3, 8) and Q (11, 12).

 

Problem: 15

Find the length and midpoint of the segment connecting points (4, 6) and (–4, 8).

 

Problem: 17

Estimate the distance between A and B from the graph. Calculate the distance between A and B using the distance formula. Compare the two.

 

Problem: 19

Find the distance between the two points.

 

Problem: 21

Find the midpoint of the segment with the endpoints

R (8, –5) and U (5, –9).

 

Problem: 23

If X is the midpoint of Find the missing length.

AX = 14, AB =

 

Problem: 25

If X is the midpoint of Find the missing length.

AB = 5 x , AX = 20, x =

 

Problem: 27

If X is the midpoint of Find the missing length.

AX = x , XB = 4 x – 9, x =

 

Problem: 29

If X is the midpoint of Find the missing length.

XB = x + 3, AB = 7 x – 19, x =

 

Problem: 31

Do the points (–3, –2), (–3, 2), and (3, –2) form a right triangle?

 

Problem: 33

Obtain the perimeter of the given figure.

 

Problem: 35

Find the coordinates of B , if the midpoint of is (4, 7) and the coordinates of A are (–8, 6).