General Information
Related Standards:
MAFS.912.G-GPE.1.1
Reporting Category: Geometry: Expressing Geometric Properties with Equations
Type: ETC: Editing Task Choice
Difficulty: N/A
Question:
Johnny wants to find the equation of a circle with center (3,-4) and a radius of 7. He uses the argument shown.
There are three highlights in the argument to show missing words or phrases. For each highlight, click on the word of phrase that correctly fills the blank.
Possible Answer:
Let (x,y) be any point on the circle. Then, the horizontal distance from (x,y) to the center is 
. The vertical distance from (x,y) to the center is 
. The total distance from (x,y) to the center is the radius of the circle, 7. The Pythagorean Theorem can now be used to create an equation that shows the relationship between the horizontal, vertical, and total distance of (x,y) to the center of the circle.