4
algebra

A rectangle has sides parallel to the axes. Three vertices are (1,1)(1, 1), (1,4)(1, 4), and (5,4)(5, 4). What is the fourth vertex?

A

(5,1)(5, 1)

B

(5,0)(5, 0)

C

(4,1)(4, 1)

D

(1,5)(1, 5)

Correct Answer: A

Choice A is the correct answer. Complete the rectangle.

  1. x-coords: 1 and 5.
  2. y-coords: 1 and 4.
  3. Missing: We have (1,1),(1,4),(5,4)(1,1), (1,4), (5,4). We need the combination of the other x (5) and other y (1).
  4. Result: (5,1)(5, 1).

💡 Strategic Tip: Sketch it! It's the bottom-right corner.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.