Midpoint and Distance Formulas - High School Math (2024)

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High School Math Help » Algebra I » Coordinate Geometry » Lines » Midpoint and Distance Formulas

Example Question #1 : How To Find The Midpoint Of A Line Segment

What would be the midpoint of a line segment with endpoints atMidpoint and Distance Formulas - High School Math (1)andMidpoint and Distance Formulas - High School Math (2)?

Possible Answers:

Midpoint and Distance Formulas - High School Math (3)

Midpoint and Distance Formulas - High School Math (4)

Midpoint and Distance Formulas - High School Math (5)

Midpoint and Distance Formulas - High School Math (6)

Midpoint and Distance Formulas - High School Math (7)

Correct answer:

Midpoint and Distance Formulas - High School Math (8)

Explanation:

The midpoint of a line segment is halfway between the twoMidpoint and Distance Formulas - High School Math (9) values and halfway between the twoMidpoint and Distance Formulas - High School Math (10) values.

Mathematically, that would be the average of each coordinate: Midpoint and Distance Formulas - High School Math (11).

Plug in theMidpoint and Distance Formulas - High School Math (12)values from the given points and solve.

Midpoint and Distance Formulas - High School Math (13)

Midpoint and Distance Formulas - High School Math (14)

We can simplify the fraction to give our final answer.

Midpoint and Distance Formulas - High School Math (15)

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Example Question #2 : How To Find The Midpoint Of A Line Segment

What would be the midpoint of a line segment with endpoints atMidpoint and Distance Formulas - High School Math (16)andMidpoint and Distance Formulas - High School Math (17)?

Possible Answers:

Midpoint and Distance Formulas - High School Math (18)

Midpoint and Distance Formulas - High School Math (19)

Midpoint and Distance Formulas - High School Math (20)

Midpoint and Distance Formulas - High School Math (21)

Midpoint and Distance Formulas - High School Math (22)

Correct answer:

Midpoint and Distance Formulas - High School Math (23)

Explanation:

The midpoint of a line segment is halfway between the twoMidpoint and Distance Formulas - High School Math (24) values and halfway between the twoMidpoint and Distance Formulas - High School Math (25) values.

Mathematically, that would be the average of each coordinate: Midpoint and Distance Formulas - High School Math (26).

Plug in theMidpoint and Distance Formulas - High School Math (27)values from the given points and solve.

Midpoint and Distance Formulas - High School Math (28)

Midpoint and Distance Formulas - High School Math (29)

Simplify the fractions to get the final answer.

Midpoint and Distance Formulas - High School Math (30)

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Example Question #3 : How To Find The Midpoint Of A Line Segment

If a line has a midpoint atMidpoint and Distance Formulas - High School Math (31), and the endpoints areMidpoint and Distance Formulas - High School Math (32)andMidpoint and Distance Formulas - High School Math (33), what is the value ofMidpoint and Distance Formulas - High School Math (34)?

Possible Answers:

Midpoint and Distance Formulas - High School Math (35)

Midpoint and Distance Formulas - High School Math (36)

Midpoint and Distance Formulas - High School Math (37)

Midpoint and Distance Formulas - High School Math (38)

Midpoint and Distance Formulas - High School Math (39)

Explanation:

The midpoint of a line segment is halfway between the twoMidpoint and Distance Formulas - High School Math (41) values and halfway between the twoMidpoint and Distance Formulas - High School Math (42) values.

Mathematically, that would be the average of the coordinates: Midpoint and Distance Formulas - High School Math (43).

Plug in theMidpoint and Distance Formulas - High School Math (44)values from the given points.

Midpoint and Distance Formulas - High School Math (45)

Now we can solve for the missing value.

Midpoint and Distance Formulas - High School Math (46)

Midpoint and Distance Formulas - High School Math (47)

TheMidpoint and Distance Formulas - High School Math (48) values reduce, so bothMidpoint and Distance Formulas - High School Math (49) values equal Midpoint and Distance Formulas - High School Math (50). Now we need to create a new equation to solve for theMidpoint and Distance Formulas - High School Math (51) value.

Midpoint and Distance Formulas - High School Math (52)

Multiply both sides byMidpoint and Distance Formulas - High School Math (53)to solve.

Midpoint and Distance Formulas - High School Math (54)

Midpoint and Distance Formulas - High School Math (55)

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Example Question #4 : How To Find The Midpoint Of A Line Segment

What is the midpoint of a line segment with endpointsMidpoint and Distance Formulas - High School Math (56)andMidpoint and Distance Formulas - High School Math (57)?

Possible Answers:

Midpoint and Distance Formulas - High School Math (58)

Midpoint and Distance Formulas - High School Math (59)

Midpoint and Distance Formulas - High School Math (60)

Midpoint and Distance Formulas - High School Math (61)

Midpoint and Distance Formulas - High School Math (62)

Correct answer:

Midpoint and Distance Formulas - High School Math (63)

Explanation:

The midpoint formula is this:Midpoint and Distance Formulas - High School Math (64).

Plug in the given values from our points and solve:

Midpoint and Distance Formulas - High School Math (65)

Midpoint and Distance Formulas - High School Math (66)

Midpoint and Distance Formulas - High School Math (67)

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Example Question #1 : Algebra I

What is the midpoint of the line segment with endpoints atMidpoint and Distance Formulas - High School Math (68)andMidpoint and Distance Formulas - High School Math (69)?

Possible Answers:

Midpoint and Distance Formulas - High School Math (70)

Midpoint and Distance Formulas - High School Math (71)

Midpoint and Distance Formulas - High School Math (72)

Midpoint and Distance Formulas - High School Math (73)

Midpoint and Distance Formulas - High School Math (74)

Correct answer:

Midpoint and Distance Formulas - High School Math (75)

Explanation:

The midpoint formula is this:Midpoint and Distance Formulas - High School Math (76).

Plug in the given values from our points and solve:

Midpoint and Distance Formulas - High School Math (77)

Midpoint and Distance Formulas - High School Math (78)

Midpoint and Distance Formulas - High School Math (79)

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Example Question #6 : How To Find The Midpoint Of A Line Segment

Find the midpoint between (4, 3) and (6, 9).

Correct answer:

Midpoint and Distance Formulas - High School Math (85)

Explanation:

Add up the Midpoint and Distance Formulas - High School Math (86)'s and divide in half, which results in 5. Do the same to the Midpoint and Distance Formulas - High School Math (87)'s and you get 6. Put theMidpoint and Distance Formulas - High School Math (88) andMidpoint and Distance Formulas - High School Math (89) in an ordered pair so that your answer is (5, 6).

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Example Question #1 : Coordinate Geometry

What is the midpoint of the line segment which connectsMidpoint and Distance Formulas - High School Math (90) and Midpoint and Distance Formulas - High School Math (91)?

Possible Answers:

Midpoint and Distance Formulas - High School Math (92)

Midpoint and Distance Formulas - High School Math (93)

Midpoint and Distance Formulas - High School Math (94)

Midpoint and Distance Formulas - High School Math (95)

Midpoint and Distance Formulas - High School Math (96)

Correct answer:

Midpoint and Distance Formulas - High School Math (97)

Explanation:

To find the midpoint of a line segment, we find the average of the x and y coordinates of the endpoints. The average of two numbers is the sum of those numbers divided by Midpoint and Distance Formulas - High School Math (98). Thus, to find the x-coordinate of our midpoint, we find the average ofMidpoint and Distance Formulas - High School Math (99) and Midpoint and Distance Formulas - High School Math (100), and we get Midpoint and Distance Formulas - High School Math (101).

To find the y-coordinate of our midpoint, we find the average ofMidpoint and Distance Formulas - High School Math (102) and Midpoint and Distance Formulas - High School Math (103), which is Midpoint and Distance Formulas - High School Math (104).

Thus, our midpoint is Midpoint and Distance Formulas - High School Math (105)

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Example Question #1 : Midpoint And Distance Formulas

Find the midpoint of the line segment with end points Midpoint and Distance Formulas - High School Math (106)andMidpoint and Distance Formulas - High School Math (107).

Possible Answers:

Midpoint and Distance Formulas - High School Math (108)

Midpoint and Distance Formulas - High School Math (109)

Midpoint and Distance Formulas - High School Math (110)

Midpoint and Distance Formulas - High School Math (111)

Midpoint and Distance Formulas - High School Math (112)

Correct answer:

Midpoint and Distance Formulas - High School Math (113)

Explanation:

To find the midpoint of a line segment, use the standard equation:

Midpoint and Distance Formulas - High School Math (114)

Plugging in the given points:

Midpoint and Distance Formulas - High School Math (115)

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Example Question #9 : How To Find The Midpoint Of A Line Segment

Find the midpoint of these two points:

Midpoint and Distance Formulas - High School Math (116)andMidpoint and Distance Formulas - High School Math (117)

Possible Answers:

Midpoint and Distance Formulas - High School Math (118)

Midpoint and Distance Formulas - High School Math (119)

Midpoint and Distance Formulas - High School Math (120)

Midpoint and Distance Formulas - High School Math (121)

Midpoint and Distance Formulas - High School Math (122)

Correct answer:

Midpoint and Distance Formulas - High School Math (123)

Explanation:

The standard formula to find the midpoint of two points isMidpoint and Distance Formulas - High School Math (124).

Plug in the given points to find the answer:

Midpoint and Distance Formulas - High School Math (125)

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Example Question #2 : Algebra I

A line segment has endpoints atMidpoint and Distance Formulas - High School Math (126)andMidpoint and Distance Formulas - High School Math (127). What is the midpointof this segment?

Possible Answers:

Midpoint and Distance Formulas - High School Math (128)

Midpoint and Distance Formulas - High School Math (129)

Midpoint and Distance Formulas - High School Math (130)

Midpoint and Distance Formulas - High School Math (131)

Midpoint and Distance Formulas - High School Math (132)

Correct answer:

Midpoint and Distance Formulas - High School Math (133)

Explanation:

My midpoint will be at the average of the Midpoint and Distance Formulas - High School Math (134)-values and the average of the Midpoint and Distance Formulas - High School Math (135)-values. Mathematically, Midpoint and Distance Formulas - High School Math (136).

Plug in our given values.

Midpoint and Distance Formulas - High School Math (137)

Midpoint and Distance Formulas - High School Math (138)

Midpoint and Distance Formulas - High School Math (139)

Midpoint and Distance Formulas - High School Math (140)

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Midpoint and Distance Formulas - High School Math (2024)
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