Quiz about Analytic Geometry

Question 1

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 2

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 3

Rectangle $$A B C D$$ has two vertices at coordinates $$A(-1,-3)$$ and $$B(6,5)$$. Find the slope of $$\overline{B C}$$.v

Accepted Answer

Covalent bond

Answer

$$-\frac{7}{8}$$

Answer

$$-\frac{8}{7}$$

Answer

$$\frac{7}{8}$$

Answer

$$\frac{8}{7}$$

Question 4

One line passes through the points $${A}(-7,4)$$ and $${B}(5,-4)$$. Another line passes through points $${C}(-7,-4)$$ and $${D}(2,2)$$.

Are the lines parallel, perpendicular, or neither?

Accepted Answer

Covalent bond

Answer

neither

Answer

Parallel

Answer

Perpendicular

Answer

parallel and perpendicular both

Question 5

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.

Analytic Geometry High School Geometry Maths Problems and Solutions

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