Quiz about Analytic Geometry

Question 1

Line segment $$A C$$ has endpoints $$A(-1,-3.5)$$ and $$C(5,-1)$$.
Point $$B$$ is on line segment $$A C$$ and is located at $$(0.2,-3)$$.
What is the ratio of $$\frac{A B}{B C}$$ ?

Accepted Answer

Covalent bond

Answer

$$\frac{1}{4}$$

Answer

$$\frac{1}{6}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{5}{4}$$

Question 2

Kevin asked Olivia what parallel lines are. Olivia responded, "They are lines that never intersect."

What important piece of information is missing from Olivia's response?

Accepted Answer

Covalent bond

Answer

The lines must be coplanar.

Answer

The lines must be straight.

Answer

The lines can be noncoplanar.

Answer

The lines form four right angles.

Question 3

A study reports that in 2010 the population of the United States was 308,745,538 people and the land area was approximately 3,531,905 square miles.

Based on the study, what was the population density, in people per square mile, of the United States in 2010 ?

Round your answer to the nearest tenth.

Accepted Answer

Covalent bond

Answer

$$87.4$$

Answer

$$105.5$$

Answer

$$123.6$$

Answer

$$98.7$$

Question 4

Square $$A B C D$$ has vertices at $$A(1,2)$$ and $$B(3,-3)$$. What is the slope of $$B C$$ ?

Accepted Answer

Covalent bond

Answer

$$-\frac{5}{2}$$

Answer

$$\frac{2}{5}$$

Answer

$$-\frac{3}{2}$$

Answer

$$\frac{5}{2}$$

Question 5

The graph of line $$m$$ is shown.

![](http://admin.getprephub.com/media/editor/gp15_20230225211109349466.png)

What is the equation of the line that is perpendicular to line $$m$$ and passes through the point $$(-2,2)$$ ?

Accepted Answer

Covalent bond

Answer

$$y=\frac{2}{5} x+\frac{6}{5}$$

Answer

$$y=\frac{2}{5} x-\frac{4}{5}$$

Answer

$$y=\frac{1}{5} x+\frac{4}{5}$$

Answer

$$y=\frac{2}{5} x+\frac{2}{5}$$

Ohio State Analytic Geometry High School Geometry Maths Problems and Solutions

Many students find Analytic Geometry for High School Geometry particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Analytic Geometry from Ohio State for High School Geometry preparation.