Free Practice Quiz Question List

08 Analytic Geometry Online Quiz Questions

Use this free practice quiz with 20 questions to review 08 Analytic Geometry, test your knowledge, and prepare for your next test or exam.

20 questions

Choose one

1 point

In which quadrant does the point $(-3,2)$ lie?

A
Quadrant I
B
Quadrant II
C
Quadrant III
D
Quadrant IV

True or false

1 point

True or false: The point $(0,-5)$ lies in Quadrant IV.

A
True
B
False

Choose all

1 point

Select all applications of the distance formula that are supported by the material.

A
Finding the length of a side of a polygon
B
Determining whether a line is horizontal
C
Finding the radius or diameter of a circle
D
Finding the y-intercept of a line

Written response

1 point

The endpoints of a segment are $A(7,-2)$ and $B(9,5)$ . What is the x-coordinate of the midpoint?

Fill in the blank

1 point

Complete the distance formula for points $A(x_1,y_1)$ and $B(x_2,y_2)$ : $\[d=\sqrt{($ $)^2+($ $)^2}.\]$

Choose one

1 point

What is the slope of the line through the points $(1,4)$ and $(5,12)$ ?

A
$-2$
B
$\frac{1}{2}$
C
$2$
D
$8$

Choose all

1 point

Select all statements that correctly describe parallel or perpendicular nonvertical lines.

A
A line with slope $3$ is parallel to a line with slope $3$ .
B
A line with slope $4$ is parallel to a line with slope $-4$ .
C
A line with slope $2$ is perpendicular to a line with slope $-\frac{1}{2}$ .
D
A line with slope $0$ is perpendicular to a line with slope $0$ .

True or false

1 point

True or false: The circle $\((x+4)^2+(y-1)^2=36$ ) has center $\((-4,1)$ ).

A
True
B
False

Written response

1 point

What is the slope of the line through $(3,-2)$ and $(7,6)$ ?

True or false

1 point

True or false: Verifying that the diagonals of a quadrilateral have the same midpoint can be used as a coordinate test for a parallelogram.

A
True
B
False

Choose one

1 point

In which quadrant does the point $(-3,4)$ lie?

A
Quadrant I
B
Quadrant II
C
Quadrant III
D
Quadrant IV

Choose one

1 point

What is the distance between $A(1,4)$ and $B(5,7)$ ?

A
$3$ units
B
$4$ units
C
$5$ units
D
$7$ units

Choose one

1 point

Find the midpoint of the segment with endpoints $A(2,1)$ and $B(8,5)$ .

A
$(5,3)$
B
$(3,5)$
C
$(6,4)$
D
$(10,6)$

Choose one

1 point

What is the slope of the line through $A(-2,2)$ and $B(4,6)$ ?

A
$-\frac{3}{2}$
B
$-\frac{2}{3}$
C
$\frac{3}{2}$
D
$\frac{2}{3}$

Choose one

1 point

Which equation represents the line parallel to $y=4x-7$ that passes through $(1,2)$ ?

A
$y=4x+2$
B
$y=4x-2$
C
$y=-4x+6$
D
$y=2x-4$

Choose one

1 point

What are the center and radius of the circle $(x+2)^2+(y-5)^2=49$ ?

A
Center $(2,-5)$ , radius $49$
B
Center $(-2,-5)$ , radius $7$
C
Center $(-2,5)$ , radius $7$
D
Center $(2,5)$ , radius $49$

Written response

1 point

The lines $y=3x-4$ and $y=-x+4$ intersect at one point. What is the exact $x$ -coordinate of their intersection? Enter a number.

Fill in the blank

1 point

Let $\vec u=(3,2)$ and $\vec v=(2,-3)$ . Compute $\vec u\cdot\vec v$ . The vectors are perpendicular because their dot product equals .

Open ended

1 point

Convert the circle $x^2+y^2-6x+4y-12=0$ to standard form by completing the square. Then state its center and radius, and explain the key algebraic steps.

Written response

1 point

A segment has midpoint $(4,1)$ and one endpoint $(1,-3)$ . What is the x-coordinate of the other endpoint?