Distance & Midpoint
Endpoint
Center/Radius
Equations of Circles
Previous Topics
100
Find the distance from (20, -10) to (8, 6).
20
100
Find the other endpoint.
Endpoint: (7, 9)
Midpoint: (6, 7)
(5, 5)
100
What is the center & radius? (x + 7)2 + (y + 8)2 = 64
(-7, -8) & 8
100
Write the eqaution of the circle.
Center (6, -8)
Radius 7
( x – 6 )2 + ( y + 8 )2 = 49
100
What is the slope of a line parallel to y = ⅘x - 9?
⅘
200
Find the distance from (0, -2) to (-5, -1).
5.1
200
Find the other endpoint.
Endpoint: (-4, 8)
Midpoint: (0, 8)
(4, 8)
200
What is the center & radius? x2 + y2 = 49
(0, 0) & 7
200
Write the eqaution of the circle.
Center (-11, 7)
Point on Circle (-7, 2)
(x+11)2 +(y-7)2 = 41
200
What is the slope of a line pependicular to y = ⅘x - 9?
-5/4
300
Find the distance from (1, -2) to (-5, 5).
9.2
300
Find the other endpoint.
Endpoint: (3, 10)
Midpoint: (-2, -3)
(-7, -16)
300
What is the center & radius? (x - L)2 + (y + K)2 =104
( L, -K) & 10.2
300
Write the eqaution of the circle.
Center (4, 11)
Point on Circle (3, 16)
(x - 4)2 + (y - 11)2 =26
300
What is the hypothesis?
If it is raining, then I use my umbrella.
it is raining
400
Find the midpoint from (-4, 2) to (0, 4).
(-2, 3)
400
Find the other endpoint.
Midpoint: (-10, 3)
Endpoint: (9, 0)
(-29, 6)
400
What is the center & radius?
(3, 1) & 2
400
Write the eqaution of the circle.
Endpoints of Diameter
(8, 1) & (4, -3)
(x - 6)2 + (y + 1)2 = 8
400
What is the contrapositive?
If it is raining, then I use my umbrella.
If I do not use my umbrella, then it is not raining.
500
Find the midpoint from (1, -4) to (4, -5).
(2.5, -4.5)
500
Find the other endpoint.
Midpoint: (5, 3.5)
Endpoint: (0, 4)
(10, 3)
500
(0, -20) & 10
500
Write the eqaution of the circle.
Endpoints of Diameter
(-13, -3) & (15, 9)
(x - 1)2 + (y - 3)2 =232
500
What Law of Logic?
1) p ---> q
2) p
3) q
Law of Detachment