Distance and Midpoint

Distance and Midpoint

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Flashcard

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Mathematics

10th Grade

Hard

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15 questions

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1.

FLASHCARD

Front

What is the distance formula in a 2D coordinate system?

Back

The distance between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

2.

FLASHCARD

Front

Calculate the distance between the points (2, 3) and (5, 7).

Back

The distance is 5.0.

3.

FLASHCARD

Front

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

4.

FLASHCARD

Front

Find the midpoint of the line segment with endpoints (1, 2) and (3, 4).

Back

The midpoint is (2, 3).

5.

FLASHCARD

Front

What is the distance between the points (0, 0) and (4, 3)?

Back

The distance is 5.0.

6.

FLASHCARD

Front

If the distance between points A(1, 1) and B(4, 5) is 5, what is the distance between A and B?

Back

The distance is 5.

7.

FLASHCARD

Front

Find the distance between the points (-3, -4) and (1, 2).

Back

The distance is 7.21.

8.

FLASHCARD

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts.

9.

FLASHCARD

Front

Calculate the distance between the points (-1, -1) and (2, 3).

Back

The distance is 3.61.

10.

FLASHCARD

Front

What is the midpoint of the line segment with endpoints (6, 8) and (10, 12)?

Back

The midpoint is (8, 10).

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