Find The Midpoint Of The Line Segment Joining A And B

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Worksheet
2.1 – 2.4
M121 Summer
Name ______________________________
1. Find the midpoint of the line segment joining A and B and the distance between A and B. (Memorize these
formulas).
a.) A: (–1, 4), B: (–2, –2)
b.) A: (2, –5), B: (4, 1)
Midpoint ____________ Distance ____________
Midpoint ____________ Distance ____________
2. Standard form of a circle: (x – h)
2
+ (y – k)
2
= r
2
. Write the standard form for a circle whose center is (2, –5) and
r = 3.
3. Complete the square to convert the general form of the circle to standard form. List the center and the radius.
a.) x
2
+ y
2
– 2x + 4y – 9 = 0
b.) x
2
+ y
2
– 4y = 0
Center: _________ Radius: _____________
Center: _________ Radius: _____________
4. A circle has center (–1, –1) and it goes through the point (0, 3). Find the radius of the circle, and then give the
equation in standard form.
+
+
=
2
2
(
x
) 1
(
y
) 5
16
5. Find the center, radius and intercepts for
.
Center: _________ Radius: _____________ x-intercept: ______________
y-intercepts: _____________

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