Name________________________ No.______
Geometry 13-3
1) Use slopes to show ΔABC is a right
triangle given
A(1,4), B(-1,-3), and C(6,-5)
Name_______________________ No.______
Geometry 13-8
1) Using only one variable, draw an
equilateral triangle on the coordinate plane
and label all vertices.
Name_________________________ No.______
Geometry 13-3
2) Given A(2, -3), B(4, 7) and C(-1, 3). What
is the slope of the altitude from vertex B of
ΔABC ?
Name_________________________ No._____
Geometry 13-8
2) Supply the missing coordinates for this
parallelogram without introducing any new
variables.
Name_________________________ No.______
Geometry 13-3
3) Given N(-1, -5), O(0,0), P(3,2) and
Q(8,1), show that NOPQ is an isosceles
trapezoid.
Name_________________________ No._____
Geometry 13-9
1) Write a coordinate proof to show that the
diagonals of an isosceles trapezoid are
congruent.
Name_______________________ No.______
Geometry 13-8
1) Using only one variable, draw an
equilateral triangle on the coordinate plane
and label all vertices.
Name________________________ No.______
Geometry 13-3
1) Use slopes to show ΔABC is a right
triangle given
A(1,4), B(-1,-3), and C(6,-5)
Name_______________________ No.______
Geometry 13-8
2) Supply the missing coordinates for this
parallelogram without introducing any new
variables.
Name________________________ No.______
Geometry 13-3
2) Given A(2, -3), B(4, 7) and C(-1, 3).
What is the slope of the altitude from vertex
B of ΔABC ?
Name_______________________ No.______
Geometry 13-9
1) Write a coordinate proof to show that the
diagonals of an isosceles trapezoid are
congruent.
Name________________________ No.______
Geometry 13-3
3) Given N(-1, -5), O(0,0), P(3,2) and
Q(8,1), show that NOPQ is an isosceles
trapezoid.
Name_______________________ No.______
Geometry 13-1
1) Show that the triangle with vertices A(-3,4)
B(3, 1) and C(0, -2) is isosceles.
Name_______________________ No.______
Geometry 13-Summary
1) What is the distance formula?
Name_______________________ No.______
Geometry 13-1
2
2) Sketch the graph of ( x + 3) + y 2 = 49
Name_______________________ No.______
Geometry 13-Summary
2) What is the midpoint formula?
Name_______________________ No.______
Geometry 13-1
3) Write the equation of the circle with center
C(-4, -7) and radius = 5.
Name_______________________ No.______
Geometry 13-Summary
3) What is the equation of a circle?
Name_______________________ No.______
Geometry 13-Summary
1) What is the distance formula?
Name_______________________ No.______
Geometry 13-1
1) Show that the triangle with vertices A(-3,4)
B(3, 1) and C(0, -2) is isosceles.
Name_______________________ No.______
Geometry 13-Summary
2) What is the midpoint formula?
Name_______________________ No.______
Geometry 13-1
2
2) Sketch the graph of ( x + 3) + y 2 = 49
Name_______________________ No.______
Geometry 13-Summary
3) What is the equation of a circle?
Name_______________________ No.______
Geometry 13-1
3) Write the equation of the circle with center
C(-4, -7) and radius = 5.
Name_______________________ No.______
Geometry 13-2
1) Find the slope of the line passing through
(7, 4) and (−2,8)
Name_______________________ No.______
Geometry 13-Summary
4) How do you find the slope of a line?
5) What is the equation of a line?
Name_______________________ No.______
Geometry 13-2
2) Find the missing coordinate when a line has a
slope of − 34 and passes through the points (−5, 7)
and ( x, −2)
Name_______________________ No.______
Geometry 13-Summary
6) How do you know when 2 lines are:
a. parallel?
b. perpendicular?
Name_______________________ No.______
Geometry 13-2
3) Find the slope of this line
Name_______________________ No.______
Geometry 13-Summary
7) To prove theorems using coordinate
geometry, proceed as follows:
a. Place x − and y − axes in a ___________
position with respect to a figure.
b. Use known properties to assign _________
to points of the figure.
c. Use the ___________ formula, _________
formula, and the __________ properties of
parallel and perpendicular lines to prove
theorems.
Name_______________________ No.______
Geometry 13-Summary
4) How do you find the slope of a line?
Name_______________________ No.______
Geometry 13-2
1) Find the slope of the line passing through
(7, 4) and (−2,8)
5) What is the equation of a line?
Name_______________________ No.______
Geometry 13-Summary
6) How do you know when 2 lines are:
a. parallel?
Name_______________________ No.______
Geometry 13-2
2) Find the missing coordinate when a line has a
slope of − 34 and passes through the points
(−5, 7) and ( x, −2)
b. perpendicular?
Name_______________________ No.______
Geometry 13-Summary
7) To prove theorems using coordinate
geometry, proceed as follows:
a. Place x − and y − axes in a ___________
position with respect to a figure.
b. Use known properties to assign _________
to points of the figure.
c. Use the ___________ formula, _________
formula, and the __________ properties of
parallel and perpendicular lines to prove
theorems.
Name_______________________ No.______
Geometry 13-2
3) Find the slope of this line
Name________________________ No.______
Algebra Review 13: Equations of a Circle
2
2
1) Graph ( x + 3) + ( y − 2 ) = 25
Name________________________ No.______
Algebra Review 13: Completing the Square
1) Solve by completing the square:
x2 − 4 x − 2 = 0
Name________________________ No.______
Algebra Review 13: Equations of a Circle
2) Write the equations of a circle with center
at ( 4, −5 ) having a radius of 3.
Name________________________ No.______
Algebra Review 13: Completing the Square
2) Solve by completing the square:
x 2 − 10 x = 23
Name________________________ No.______
Algebra Review 13: Equations of a Circle
3) Identify the center and radius of the
2
following circle: x 2 + ( y − 7 ) = 1
Name________________________ No.______
Algebra Review 13: Completing the Square
3) Solve by completing the square:
r 2 + 14r − 10 = 5
Name________________________ No.______
Algebra Review 13: Completing the Square
1) Solve by completing the square:
x2 − 4 x − 2 = 0
Name________________________ No.______
Algebra Review 13: Equations of a Circle
2
2
1) Graph ( x + 3) + ( y − 2 ) = 25
Name________________________ No.______
Algebra Review 13: Completing the Square
2) Solve by completing the square:
x 2 − 10 x = 23
Name________________________ No.______
Algebra Review 13: Equations of a Circle
2) Write the equations of a circle with
center at ( 4, −5 ) having a radius of 3.
Name________________________ No.______
Algebra Review 13: Completing the Square
3) Solve by completing the square:
r 2 + 14r − 10 = 5
Name________________________ No.______
Algebra Review 13: Equations of a Circle
3) Identify the center and radius of the
2
following circle: x 2 + ( y − 7 ) = 1