Performance Task: Circle Constructions

Question 1

Circle Q is centered at the origin with radius r. Point P(x, y) lies on circle Q. Make a conjecture. How can you find an equation relating the radius to the coordinates of point P? Check all that apply.

Revolt · Accepted Answer

Notice that ΔPQS forms a right triangle.; Because ΔPQS is a right triangle, apply the Pythagorean theorem.; x² + y² = r²

Question 2

Circle Q is centered at the origin with radius r. Point P(x, y) lies on circle Q. Make a conjecture. How can you find an equation relating the radius to the coordinates of point P? Check all that apply.

Revolt · Accepted Answer

Notice that ΔPQS forms a right triangle.; Because ΔPQS is a right triangle, apply the Pythagorean theorem.; x² + y² = r²

Performance Task: Circle Constructions Answers

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