Geometry and Trigonometry practice question

Answer: A. (5, 7)

Midpoint = ((2 + 8)/2, (3 + 11)/2) = (5, 7). Choice C (10, 14) is the sum of the coordinates without dividing by 2 — the midpoint averages, it does not add.

Why the other answers are wrong

B. (6, 8)

(6, 8) is the difference between the coordinates (8 − 2 and 11 − 3), which gives the run and rise, not the midpoint. Average instead: ((2+8)/2, (3+11)/2) = (5, 7).

C. (10, 14)

(10, 14) is the sum of the coordinates with no division by 2 — the midpoint averages the coordinates, it does not add them.

D. (3, 4)

(3, 4) is half of the differences (6/2 and 8/2), which is the halfway *displacement* from (2, 3), not the point itself. Averaging the coordinates directly gives (5, 7).

More Geometry and Trigonometry questions

• Easy–Medium
  A circle has a radius of 6. What is its area? (Use A = πr².)
• Easy–Medium
  A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
• Easy–Medium
  A circle has a radius of 5. What is its circumference? (Use C = 2πr.)
• Easy–Medium
  What is the measure, in degrees, of angle B?
• Easy–Medium
  What is the area, in square centimeters, of the trapezoid?
• Easy–Medium
  What is the value of cos A?