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Coordinate Challenges: Mastering the Pythagorean Theorem

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Coordinate Challenges: Mastering the Pythagorean Theorem
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A right triangle has one vertex at (2, 3) and another at (2, 7). What is the length of the hypotenuse if the third vertex is at (5, 3)?

7

5

4

6

Tags

CCSS.6.G.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a ladder is leaning against a wall, with the base of the ladder at (0, 0) and the top touching the wall at (0, 8), how long is the ladder if it reaches the ground at (6, 0)?

8

15

10

12

Tags

CCSS.HSG.GPE.B.7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular park has corners at (1, 1), (1, 5), (5, 1), and (5, 5). What is the distance between the two opposite corners (1, 1) and (5, 5)?

8

4

6

4√2

Tags

CCSS.HSG.GPE.B.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A drone flies from point A at (3, 4) to point B at (3, 10). If it then moves to point C at (8, 10), what is the total distance traveled by the drone?

9

15

7

11

Tags

CCSS.6.G.A.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A right triangle has vertices at (1, 1), (1, 4), and (5, 1). Calculate the length of the hypotenuse of this triangle.

4

7

6

5

Tags

CCSS.6.G.A.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular garden is located with one corner at (2, 2) and the opposite corner at (8, 6). What is the length of the diagonal of the garden?

2√13

10

4√2

6

Tags

CCSS.HSG.GPE.B.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A baseball diamond is a square with each side measuring 90 feet. If a player runs from home plate at (0, 0) to first base at (90, 0), what is the distance from first base to second base at (90, 90)?

180 feet

45 feet

120 feet

90 feet

Tags

CCSS.HSG.GPE.B.7

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