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Quiz - Midpoint and Distance

Total questions: 10

Worksheet time: 58mins

Name
Class
Date
1.

The point in the middle of a line segment is called the (a)   .

2.

The distance formula is derived from which theorem?


Spelling counts!

(a)  

3.

Which of the following would you use to determine the midpoint between two points on a graph?

a)

(x1+x22,y1+y22)\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

b)

y=mx+by=mx+b

c)

a2+b2=c2a^2+b^2=c^2

d)

d=(x2−x1)2+(y2−y1)2d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

4.

Which of the following would you use to determine the distance between two points on a graph?

a)

(x1+x22,y1+y22)\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

b)

y=mx+by=mx+b

c)

a2+b2=c2a^2+b^2=c^2

d)

d=(x2−x1)2+(y2−y1)2d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

5.

What is the midpoint of the line segment whose endpoints are (-4,5) and (3,-7)?


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.

(a)  

6.

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.

(a)  

7.

If the midpoint of a line segment is located at (2,3) and one endpoint is located at (10,6), where is the other endpoint located?


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

(a)  

8.

What is the distance between the points (-8,5) and (-2,-3)?


Write your answer as a decimal if necessary. Just write the answer...no need for a complete sentence.

(a)  

9.

What is the length of the line segment shown?


Write your answer as a decimal, rounded to the nearest hundredth. Just write the answer...no need for a complete sentence.

(a)  

10.

When it is safe to be out in public again, I am going to plan a trip to Las Vegas. In order to drive there, I would need to travel 276 miles South and 285 miles East. However, my wife wants to fly there. How long would the trip be from Sacramento to Las Vegas, if we flew? Please answer in a complete sentence.

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