Free Printable Geometry Qtr 3, Quiz #2

1.

What is an equation of the perpendicular bisector of the line segment shown in the diagram?

a)

y = -2x

b)

y = 2x

c)

$y\ =\ -\frac{1}{2}x$

d)

$y\ =\ \frac{1}{2}x$

2.

6) The ratio is 3:1. How many parts are there?

a)

2

b)

3

c)

4

d)

5

3.

Determine the ratio of the directed line segment AB when partitioned by point P.

a)

1:2

b)

2:1

c)

3:1

d)

1:4

4.

Given the points A = -1 and B =7, find the point of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.

The coordinates of the point P are:

a)

P = 1

b)

P = 0

c)

P = 3

d)

P = -1

5.

[You may use the grid above to help you with this question.]

Point Q is on MN such that MQ : QN = 2:3. If M has coordinates (3, 5) and N has coordinates (8, -5), the coordinates of Q are

a)

(5, 1)

b)

(5, 0)

c)

(6, -1)

d)

(6, 0)

6.

In a trinomial in the standard form

ax² + bx + c = 0, what do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

7.

Which of the following is a perfect square trinomial?

a)

$x^2\ -\ 1x\ +\ 1$

b)

$x^2\ -\ 3x\ +\ 9$

c)

$x^2\ +\ 14x\ -\ 49$

d)

$x^2\ -\ 5x\ +\ \frac{25}{4}$

8.

Which of the following is not a perfect square trinomial?

a)

$x^2\ -\ 2x\ +\ 4$

b)

$x^2\ +\ 8x\ +\ 16$

c)

$x^2\ -\ 12x\ +\ 36$

d)

$x^2\ +\ 3x\ +\frac{9}{4}$

9.

What is the first step to solving the equation shown below when using the completing the square method?

x² + 10x + 21 = 0

a)

set the equation equal to zero

b)

divide 10 by 2 and add the result to both sides

c)

add x² and 10x together

d)

subtract the 21 from both sides

10.

When factoring x² - 4x + 4 = 20, which of the following goes in the blank shown below? (x - ___ )² = 20

a)

4

b)

2

c)

8

d)

20

11.

Which is an equation of the circle with a radius of 5 and center of (1, -4)

a)

(x + 1)² + (y - 4)² = 5

b)

(x + 1)² + (y - 4)² = 25

c)

(x - 1)² + (y + 4)² = 5

d)

(x - 1)² + (y + 4)² = 25

12.

If x² + 4x + y² - 6y - 12 = 0 is the equation of a circle, the length of the radius is

a)

25

b)

16

c)

5

d)

4

13.

What are the coordinates of the center and the length of the radius of the circle represented by the equation

x² + y² - 4x + 8y + 11 = 0?

a)

center (2, -4) and radius 3

b)

center (-2, 4) and radius 3

c)

center (2, -4) and radius 9

d)

center (-2, 4) and radius 9

14.

Which graph represents a circle with the equation

(x - 3)² + (y + 1)² = 4?

a)

b)

c)

d)

15.

Determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

a)

(x-3)² + (y+6)² = 25

b)

(x+3)² + (y-6)² = 25

c)

(x-3)² + (y+6)² = 45

d)

(x+3)² + (y-6)² = 5

16.

What is the slope of the line y = 4x - 3?

a)

-4

b)

-3

c)

3

d)

4

17.

What is the slope of the line passing through (5, -1) and (5, 3)?

a)

$\frac{1}{5}$

b)

0

c)

undefined

d)

5

18.

Line A is perpendicular to the line whose equation is y = 2x - 7. What is the slope of line A?

a)

$-\frac{1}{2}$

b)

$2$

c)

$\frac{1}{2}$

d)

-2

19.

A line segment has endpoints A(7, 1) and B(-3, 3). What are the coordinates of the midpoint of AB?

a)

(1, 2)

b)

(-5, 2)

c)

(2, 2)

d)

(5, -2)

20.

The vertices of the triangle in the diagram are A(7, 9), B(3, 3)
and C(11, 3). What are the coordinates of the centroid of $\Delta ABC$ ?

a)

(5, 6)

b)

(7, 5)

c)

(7, 3)

d)

(9, 6)

Geometry Qtr 3, Quiz #2 - Coordinate Geometry

Total questions: 20

Worksheet time: 5hrs 0mins

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