Download Review Chapter 10

A Perfect 10!
1. Find the distance between the two points. Also find the midpoint of the line
segment joining the two points.
(6, 1) and (2, -5)
2. Use the given distance d between the two points to solve for y.
(3, y), (5, 7) d  2 17
3. Classify the triangle with the given coordinates as scalene, isosceles, or
equilateral.
A : 8,3 , B :  2,1 and C: 0, 4 
4.
Graph each equation and answer questions.
( x  2)2 ( y  5)2

1
16
64
( x  4) 2 ( y  1) 2

1
9
25
Center: __________________
Center: __________________
All 4 vertices: ______________________
Equation of both asymptotes: ________________
________________
y  2( x  3)2  4
x  3( y  4)2  2
Vertex: __________________
Vertex: __________________
5.
Graph and find all intersections algebraically.
a.
6.
2 x 2  3 y 2  19
x2  y 2  9
b.
4 y2  x
x  4y  3
Put each equation into standard form and answer the questions in coordinate
form. All work must be done on separate piece of paper.
a.
b.
x2  y 2  2x  6 y  6  0
9 x 2  4 y 2  54 x  16 y  61  0
What is the center? ____________
Radius? _____ (number, not coord)
What is the center? ____________
All 4 Vertices? ________________
c.
x  3 y 2  6 y  17
What is vertex? _________