Set 5: Linear Functions (Advanced)

Explanation

Answer: A

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

$(5, 1)$

✓ Correct

$(5, 0)$

$(4, 1)$

$(1, 5)$

Detailed Explanation

Choice A is correct. 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 $(1,1), (1,4), (5,4)$ . We need the combination of the other x (5) and other y (1). 4. Result: $(5, 1)$ . Strategic Tip: Sketch it! It's the bottom-right corner. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $(5, 1)$

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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