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Distance Formula

Grade 10·21 problems·~30 min·ACT Math·topic·act-geo-coord-distance
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A

Recall / Warm-Up

1

A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?

A.

10

B.

14

C.

48

D.

100

2

Simplify 50\sqrt{50}.

A.

525\sqrt{2}

B.

2525

C.

252\sqrt{5}

D.

10510\sqrt{5}

3

What is the distance between the points (2, 5) and (2, −3) on the coordinate plane?

A.

2

B.

5

C.

8

D.

3

B

Fluency Practice

1

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

2

Find the distance between (−3, 5) and (2, −7).

3

What is the distance between (2, 1) and (5, 3)?

A.

13\sqrt{13}

B.

5

C.

5\sqrt{5}

D.

13

4

Find the distance between (−4, −1) and (2, 7).

A.

14

B.

28\sqrt{28}

C.

10

D.

8

5

Find the distance between (0, 0) and (1, 1). Express in simplified radical form.

A.

2

B.

2\sqrt{2}

C.

1

D.

3\sqrt{3}

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