Distance & Midpoint
Circles
Pythagoras
Border
If-Then
100
This is the midpoint of the 2 points (3,7) and (14,-9).
What is (8.5,-1)? 
100
What is the area of a circle with a diameter of 50?
What is 625pi?
100
Pythagoras was terrified of this kind of food. 
What are beans? 
100
A point (15,8) lies directly on the border of a circular orchard. What is the radius of this orchard? 
What is 17? 
100
If there is a right triangle, then...
Then the lengths of the right triangle satisfy the Pythagorean Theorem. 
200
This is the midpoint of the 2 points (21,-100) and (-99,24). 
What is (-39,-38)?
200
What is the circumference and area of a circle with a radius of 8? 
Circumference: What is 16pi?


Area: What is 64pi?

200
This is a set of points that satisfies the Pythagorean Theorem using only WHOLE numbers. 
What is a Pythagorean Triple?
200
Based off the fact that (15,8) lies on the border, list all other points that lie on the border that are ONLY POSITIVE. 
What are (8,15), (17,0) and (0,17)? 
200
If a point (x,y) satisfies the following the inequality, x^2+y^2 < r^2, then 
Then the point is within the border.
300
Find the distance between (3,-8) and (-15,-9). 
What is sqrt(325)?
300
Identify the center and radius of the following circle. 


(x+4)^2+(y-9)^2=38

Center: What is (-4,9)? 


Radius: What is sqrt(38)?

300
These are the classic Pythagorean Triples. Looking for 2. 
What are (3,4,5) and (5,12,13)?
300
Determine whether the point is within, on or outside the border. 


(15,9)

What is out? 
300
If a point lies on a perpendicular bisector, then...
Then the point is equidistant from any 2 given points. 
400
Find the distance between (121,-87) and (-41,29). 
What is sqrt(39,700)?
400
What is the equation of the circle in standard form based off the following: x^2+y^2+8x-6y-11=0?
What is (x+4)^2+(y-3)^2=36
400
Does (20,21,29) satisfy the Pythagorean Theorem? 
Yes. 
400
A horizontal distance is 45 and the length of the hypotenuse is 53. What is the vertical distance? 
What is 28? 
400
If a point (x,y) satisfies the following inequality, x^2+y^2=r^2, then...
Then the point lies directly on the border. 
500
Give the generalized formulas for both midpoint and distance. 
MP: (X2+X1)/2, (Y2+Y1)/2


Distance: sqrt((x2-x1)^2+(y2-y1)^2)

500

What is the center and radius based off the following equation? 


x^2+y^2-4x+2y-4=0


Center: (2,-1)


Radius:3

500
Does (48,55,72) satisfy the Pythagorean Theorem? 
No. 
500
List all points that lie directly on the border of a circular orchard with a radius of 53. A point that lies on there is (28,45). 
What is (45,28), (53,0), (0,53), (-53,0), (0,-53), (45,-28), (28,-45), (-45,-28), (-28,-45), (-28,45) and (-45,28)? 
500
If the lengths of the sides of a triangle satisfy the Pythagorean Theorem, then...
Then the triangle is a right triangle. 
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