What is the distance between the points (2, 3) and (2, 7)?

Using the distance formula: $$d = \\sqrt{(2 - 2)^2 + (7 - 3)^2} = \\sqrt{0 + 16} = 4$$ .

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

Using the distance formula: $$d = \\sqrt{(1 - 1)^2 + (-1 - 1)^2} = \\sqrt{0 + 4} = 2$$ .

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

Using the distance formula: $$d = \\sqrt{(0 - 3)^2 + (0 - 4)^2} = \\sqrt{9 + 16} = \\sqrt{25} = 5$$ .

Calculate the midpoint of the points (-3, -2) and (3, 2).

Using the midpoint formula: $$M = \\left(\\frac{-3 + 3}{2}, \\frac{-2 + 2}{2}\\right) = (0, 0)$$ .

If point C is at (1, 2) and point D is at (4, 6), what is the distance between them?

Using the distance formula: $$d = \\sqrt{(4 - 1)^2 + (6 - 2)^2} = \\sqrt{9 + 16} = \\sqrt{25} = 5$$ .

What is the distance between the points (7, 8) and (7, 3)?

Using the distance formula: $$d = \\sqrt{(7 - 7)^2 + (3 - 8)^2} = \\sqrt{0 + 25} = 5$$ .

Find the midpoint of the line segment with endpoints (10, 10) and (20, 20).

Using the midpoint formula: $$M = \\left(\\frac{10 + 20}{2}, \\frac{10 + 20}{2}\\right) = (15, 15)$$ .

Distance and Midpoint Formula Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is the distance formula used to calculate the distance between two points (x1, y1) and (x2, y2)?

Back

2.

FLASHCARD QUESTION

Front

What is the midpoint formula used to find the midpoint between two points (x1, y1) and (x2, y2)?

Back

3.

FLASHCARD QUESTION

Front

Calculate the distance between the points (1, 2) and (4, 6).

Back

4.

FLASHCARD QUESTION

Front

Find the midpoint of the line segment with endpoints (2, 3) and (4, 7).

Back

5.

FLASHCARD QUESTION

Front

What is the distance between the points (-1, -1) and (3, 3)?

Back

6.

FLASHCARD QUESTION

Front

If point A is at (0, 0) and point B is at (6, 8), what is the distance between them?

Back

7.

FLASHCARD QUESTION

Front

Determine the midpoint of the segment connecting points (5, 5) and (7, 9).

Back

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