Coordinate Challenges: Mastering the Pythagorean Theorem

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

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

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

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

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

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

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

A right triangle has one leg along the x-axis from (0, 0) to (6, 0) and the other leg from (6, 0) to (6, 8). What is the length of the hypotenuse?

• 10

• 14

• 12

• 8

Tags

CCSS.6.G.A.3

A rectangular swimming pool has dimensions of 10 meters by 24 meters. What is the distance from one corner of the pool to the opposite corner?

• 26 meters

• 22 meters

• 30 meters

• 20 meters

Tags

CCSS.8.G.B.8

A kite is flying at a height of 15 meters above the ground. If the string is pulled taut and makes a right triangle with the ground, where the base of the triangle is 20 meters long, how long is the string?

• 30 meters

• 20 meters

• 15 meters

• 25 meters

Tags

CCSS.8.G.B.8