6

Set 11: Linear Functions (Advanced)

Explanation

Answer: A

The vertices of a triangle are (0,0)(0, 0), (3,0)(3, 0), and (0,4)(0, 4). What type of triangle is it?

A.

Right Triangle

✓ Correct
B.

Equilateral Triangle

C.

Obtuse Triangle

D.

Isosceles Triangle (non-right)

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Check slopes of sides. 1. Side 1 (0,0) to (3,0): Horizontal (Slope 0). 2. Side 2 (0,0) to (0,4): Vertical (Undefined). 3. Angle: Horizontal and Vertical lines meet at 90 degrees. 4. Result: Right Triangle. Strategic Tip: If sides lie on the axes, it's a right triangle. Choice B is incorrect because sides are 3, 4, 5. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is Right Triangle

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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