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Analytic Geometry Quiz

Total questions: 20

Worksheet time: 32mins

Name
Class
Date
1.

Write the equation of a circle with radius of 6 units

a)

x2+y2=6x^2+y^2=6

b)

x2+y2=6x^2+y^2=\sqrt{6}

c)

x2+y2=36x^2+y^2=36

2.

Write the equation of a circle with a centre at (0,0) and passes through the point (5,-7).

a)

x2+y2=25x^2+y^2=25

b)

x2+y2=122x^2+y^2=12^2

c)

x2+y2=74x^2+y^2=74

d)

x2+y2=4x^2+y^2=4

3.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
4.

The line inside this triangle is called

a)

an angle bisector

b)

a perpendicular bisector

c)

an altitude

d)

a median

5.

The line insider this triangle is called

a)

an altitude

b)

a perpendicular bisector

c)

a median

d)

an angle bisector

6.

What is true about the median.

a)

Cuts the side of a triangle into 2 equal parts.

b)

It is always inside the triangle.

c)

It passes through the midpoint of the side of the triangle and the opposite vertex.

d)

All of the above

7.

If you found the midpoint of line segment AB, what should you do next to find the equation of the perpendicular bisector?

a)

Use the midpoint and one of the points from AB to write the equation

b)

Use the midpoint and slope perpendicular to AB to write the equation

c)

Use the distance and midpoint to find the equation

d)

Use the midpoint and slope of AB to write the equation

8.

What is the equation of the line that passes through the points

(6, 5) and (4, -3)?

a)

y= 4x- 29

b)

y= 4x - 19

c)

y= 4x + 19

d)

y=-4x -19

9.

What is the equation of a line that is perpendicular to the line y = 3x + 2 and goes through the point (3, -4)?

a)

y = 3x - 2

b)

y = -1/3x - 5

c)

y = 3x - 4

d)

y = -1/3x - 3

10.

Triangle ABC has vertices at A(1,5), B(-2,-2) and C(7,-1). What is the length of the median from B the nearest tenth of a unit?

a)

2.5 units

b)

6.7 units

c)

7.2 units

d)

9.1 units

11.

For which of the following do you not need to find the midpoint of a line segment?

a)

median

b)

perpendicular bisector

c)

altitude

12.

Which of the following points is the BALANCE POINT of a triangle. The correct method is shown in the triangle if you look at the markings.

a)

A. Circumcenter

b)

B. Orthocenter

c)

C. Centroid

d)

D. Midpoint

13.

BD is a median of the triangle. Given DC=11, what is the length of AD?

a)

11

b)

22

c)

5.5

d)

3.67

14.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Centroid

c)

Incenter

d)

Orthocenter

15.

The three altitudes of a triangle intersect at the?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

16.

What type of special segments are being used?

a)

Perpendicular Bisectors

b)

Angle Bisectors

c)

Medians

d)

Altitudes

17.

What is the point of concurrency?

a)

Orthocenter

b)

Centroid

c)

Circumcenter

d)

Incenter

18.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
19.

What is the length of KL?

a)

8

b)

2

c)

6

d)

Not enough information

20.

What is the length of XZ?

a)

5

b)

10

c)

2.5

d)

8