1) What is the Pythagorean Theorem formula? a) a^2 - b^2 = c^2 b) a^2 + b = c^2 c) a + b = c d) a^2 + b^2 = c^2 2) In a right triangle, if a = 3 and b = 4, what is c? a) 5 b) 6 c) 8 d) 7 3) What is the distance formula derived from the Pythagorean Theorem? a) (x2-x1) + (y2-y1) b) x2^2 + y2^2 c) x1 + y1 = x2 + y2 d) √((x2-x1)^2 + (y2-y1)^2) 4) If the coordinates of a point are (3, 4), what is its distance from the origin? a) 7 b) 6 c) 5 d) 4 5) What is the hypotenuse of a triangle with legs 6 and 8? a) 12 b) 11 c) 9 d) 10 6) Which point lies on the line y = x? a) (2, 2) b) (1, 3) c) (3, 4) d) (0, 2) 7) What is the length of the diagonal of a square with side 5? a) 10 b) 5 c) 5√2 d) 7 8) Find the distance between (1, 2) and (4, 6). a) 5 b) 6 c) 4 d) 7 9) If a triangle has sides 9, 12, what is the hypotenuse? a) 14 b) 13 c) 15 d) 18 10) What is the midpoint of (2, 3) and (4, 7)? a) (2, 6) b) (3, 4) c) (3, 5) d) (4, 5) 11) Which is a Pythagorean triple? a) 2, 3, 4 b) 3, 4, 5 c) 7, 8, 9 d) 5, 6, 7 12) What is the slope of the line through (1, 2) and (3, 6)? a) 1 b) 4 c) 2 d) 3 13) Find the length of the hypotenuse if the legs are 5 and 12. a) 16 b) 13 c) 15 d) 14 14) What is the area of a triangle with base 6 and height 8? a) 48 b) 36 c) 30 d) 24 15) If a = 8 and b = 15, what is c? a) 17 b) 18 c) 19 d) 16 16) What is the distance between (0, 0) and (5, 12)? a) 16 b) 14 c) 13 d) 15 17) Find the hypotenuse of a triangle with legs 7 and 24. a) 25 b) 27 c) 26 d) 28 18) What is the length of the diagonal of a rectangle with sides 3 and 4? a) 8 b) 7 c) 6 d) 5 19) If the coordinates of a point are (6, 8), what is its distance from the origin? a) 12 b) 9 c) 10 d) 11 20) What is the hypotenuse of a triangle with legs 9 and 40? a) 42 b) 41 c) 44 d) 43

Pythagorean Theorem on the Coordinate Plane

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