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Worksheets

Analytic Geometry

Total questions: 20

Worksheet time: 1hrs 18mins

Name
Class
Date
1.
What is the midpoint between (8, -3) and (2, 5)
a)
(5, 1)
b)
(10, 2)
c)
(-5, -1)
d)
(3, 4)
2.
What is the distance between (-5, 5) and (1, -2)
a)
9.2
b)
12.6
c)
14
d)
7.8
3.

Point M with coordinates (3,4) is the midpoint of the line AB and A has coordinates (-1,6). What are the coordinates of B?

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

4.
Find the slope of the line that goes through the points (-8,6) and (7,-3).
a)
1/3
b)
-1/3
c)
-3/5
d)
-5/3
5.
Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)
a)
parallel
b)
perpendicular
c)
neither parallel nor perpendicular
d)
both parallel and perpendicular
6.

What type of triangle is this?

a)

Equilateral triangle

b)

Scalene triangle

c)

Acute triangle

d)

Isosceles triangle

7.

What type of triangle is this?

a)

Scalene triangle

b)

Equilateral triangle

c)

Obtuse triangle

d)

Actue triangle

8.

What type of triangle is this?

a)

Acute triangle

b)

Obtuse triangle

c)

Equiangular triangle

d)

Right triangle

9.

What type of triangle is this?

a)

Acute triangle

b)

Equiangular triangle

c)

Obtuse triangle

d)

Right triangle

10.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
11.

The line inside this triangle is called

a)

an angle bisector

b)

a perpendicular bisector

c)

an altitude

d)

a median

12.

The line insider this triangle is called

a)

an altitude

b)

a perpendicular bisector

c)

a median

d)

an angle bisector

13.

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

14.

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

15.

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

16.

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

17.

Points A(1,3) & B(-3,5) are the endpoints of a chord on a circle with centre not at the origin. What is the equation of the perpendicular bisector of chord AB?

a)

y = 2x + 4

b)

y = 2x + 6

c)

y = -2x + 6

d)

y = 2x - 6

18.

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

19.

What is the shortest distance (to the nearest tenth of a unit) between the origin and the line y = 2x - 10?

a)

3.8 units

b)

4.5 units

c)

5.0 units

d)

10.0 units

20.

What is the area of triangle ABC which has vertices at A(-3,6), B(5,2) and C(1,-6)?

a)

35 square units

b)

40 square units

c)

50 square units

d)

55 square units