Distance And Midpoint Test! Math Trivia Questions Quiz

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| By Courtney Frank

Courtney Frank

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Quizzes Created: 45 | Total Attempts: 16,228

| Attempts: 604

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1/5 Questions

Calculate the midpoint between the points (4, -2) and (-8, 6).
- (6, 4)
- (-6, -4)
- (2, 2)
- (-2, 2)

About This Quiz

Challenge your understanding of geometry with the 'Distance and Midpoint Test! Math Trivia Questions. ' This quiz assesses your ability to calculate midpoints and distances between points, enhancing skills crucial for mathematical problem-solving and spatial reasoning.

Distance And Midpoint Test! Math Trivia Questions Quiz - Quiz

2.

Find the distance between the points (3, -2) and (6, 4).
Correct Answer

A.

Explanation

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is: √((x2 - x1)^2 + (y2 - y1)^2). In this case, the points are (3, -2) and (6, 4). Plugging the values into the formula, we get: √((6 - 3)^2 + (4 - (-2))^2) = √(3^2 + 6^2) = √(9 + 36) = √45. Therefore, the distance between the two points is √45.

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3.

If point S (4, 2) is the midpoint between points R and T, what is point R if the coordinates of T are (9, 17)?
- (-13, -1)
- (-1, -13)
- (4, 2)
- (8, 4)
Correct Answer

A. (-1, -13)

Explanation

If point S is the midpoint between points R and T, it means that the coordinates of S are the average of the coordinates of R and T. In this case, the coordinates of T are given as (9, 17) and the coordinates of S are given as (4, 2). To find the coordinates of R, we can subtract the coordinates of S from twice the coordinates of T. Therefore, R = 2T - S = 2(9, 17) - (4, 2) = (18, 34) - (4, 2) = (14, 32). The correct answer is (-1, -13), which matches the coordinates of R.

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4.

What is the distance between the 2 points shown?
- 5
- 7
Correct Answer

A.
5.

If the distance between the points (2, 9) and (5, y) is , what are the possible values of y?
- 4 and 14
- -4 and -14
- -4 and 14
- 4 and -14
Correct Answer

A. 4 and 14

Explanation

The distance between two points can be found using the distance formula, which is the square root of the sum of the squared differences in the x-coordinates and the y-coordinates. In this case, the x-coordinates are 2 and 5, and the y-coordinate of one point is 9. To find the possible values of y, we can substitute the given x and y values into the distance formula and solve for y. By substituting 2, 5, 9, and the distance into the formula, we can find that the possible values of y are 4 and 14.

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