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AssignmentMultiple Select

Applications of Slope and the Distance Formula

Question 3 • AISD Geometry A Credit Recovery 2026-2027

The point (1, 4) lies on a circle that is centered at (1, 1). Which statements are correct? Check all that apply.The circle’s radius is 2 units.The circle’s radius is 3 units.The circle’s radius is 9 units.The point (–2, 1) lies on the circle.The point (3, 3) lies on the circle.

Answer
A
The circle’s radius is 2 units.
B
The circle’s radius is 3 units.
C
The circle’s radius is 9 units.
D
The point (–2, 1) lies on the circle.
E
The point (3, 3) lies on the circle.

Explanation

The radius is the distance from the center (1, 1) to the point (1, 4): their x-coordinates match, and their y-coordinates differ by 3, so the radius is 3 units. The point (–2, 1) is also 3 units from the center, so it lies on the circle. The point (3, 3) is √8 units from the center, not 3, so it does not lie on the circle.

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