Basic Mathematical Skills with Geometry

Stefan Baratto, Barry Bergman, Don Hutchison

Chapter 8

Geometry - all with Video Answers

Educators

Section 1

Lines and Angles

Problem 1

Draw line segment $A B$. $\dot{A} \quad \dot{B}$

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Problem 2

$\begin{array}{lc}\text { Draw line } E F \\ \dot{E} & \dot{F}\end{array}$

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Problem 3

$\begin{array}{lc}\text { Draw line } A C \\ \dot{A} & \dot{C}\end{array}$

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Problem 4

Draw line segment $B C$ $\dot{B} \quad \dot{C}$

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Problem 5

Identify each object as a line or line segment.
(IMAGES CANNOT COPY).

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Problem 6

Identify each object as a line or line segment.
(IMAGES CANNOT COPY).

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Problem 7

Identify each object as a line or line segment.
(IMAGES CANNOT COPY).

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Problem 8

Identify each object as a line or line segment.
(IMAGES CANNOT COPY).

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Problem 9

Identify each object as a line or line segment.
(IMAGES CANNOT COPY).

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Problem 10

Identify each object as a line or line segment.
(IMAGES CANNOT COPY).

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Problem 11

Identify each object as a line or line segment.
(IMAGES CANNOT COPY).

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Problem 12

Identify each object as a line or line segment.
(IMAGES CANNOT COPY).

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Problem 13

Are the given lines parallel, perpendicular, or neither?
(IMAGES CANNOT COPY).

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Problem 14

Are the given lines parallel, perpendicular, or neither?
(IMAGES CANNOT COPY).

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Problem 15

Give an appropriate name for each indicated angle, using the given letters.
(IMAGES CANNOT COPY).

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Problem 16

Give an appropriate name for each indicated angle, using the given letters.
(IMAGES CANNOT COPY).

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Problem 17

Give an appropriate name for each indicated angle, using the given letters.
(IMAGES CANNOT COPY).

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Problem 18

Give an appropriate name for each indicated angle, using the given letters.
(IMAGES CANNOT COPY).

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Problem 19

Give an appropriate name for each indicated angle, using the given letters.
(IMAGES CANNOT COPY).

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Problem 20

Give an appropriate name for each indicated angle, using the given letters.
(IMAGES CANNOT COPY).

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Problem 21

Give an appropriate name for each indicated angle, using the given letters.
(IMAGES CANNOT COPY).

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Problem 22

Give an appropriate name for each indicated angle, using the given letters.
(IMAGES CANNOT COPY).

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Problem 23

Measure each angle with a protractor. Identify the angle as acute, right, obtuse, or straight.
(IMAGES CANNOT COPY).

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Problem 24

Measure each angle with a protractor. Identify the angle as acute, right, obtuse, or straight.
(IMAGES CANNOT COPY).

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Problem 25

Measure each angle with a protractor. Identify the angle as acute, right, obtuse, or straight.
(IMAGES CANNOT COPY).

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Problem 26

Measure each angle with a protractor. Identify the angle as acute, right, obtuse, or straight.
(IMAGES CANNOT COPY).

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Problem 27

Measure each angle with a protractor. Identify the angle as acute, right, obtuse, or straight.
(IMAGES CANNOT COPY).

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Problem 28

Measure each angle with a protractor. Identify the angle as acute, right, obtuse, or straight.
(IMAGES CANNOT COPY).

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Problem 29

Suppose that $m \angle x=29^{\circ}$
Find the complement of $\angle x$

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Problem 30

Suppose that $m \angle x=29^{\circ}$
Find the supplement of $\angle x$

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Problem 31

Find the supplement of $\angle y$

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Problem 32

Find the supplement of $\angle y$
Find the complement of $\angle y$

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Problem 33

Suppose that $m \angle y=53^{\circ}$
Find $m \angle x$
(IMAGES CANNOT COPY).

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Problem 34

Suppose that $m \angle y=53^{\circ}$
Find $m \angle y$
(IMAGES CANNOT COPY).

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Problem 35

Suppose that $m \angle y=53^{\circ}$
Find $m \angle x$ and $m \angle y$

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Problem 36

Suppose that $m \angle y=53^{\circ}$
Find $m \angle a$ and $m \angle b$

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Problem 37

Suppose that $m \angle y=53^{\circ}$
Find $m \angle w$

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Problem 38

Suppose that $m \angle y=53^{\circ}$
Find $m \angle z$

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Problem 39

Find $m \angle a, m \angle b,$ and $m \angle c$\
(IMAGES CANNOT COPY).

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Problem 40

Find $m \angle a, m \angle b,$ and $m \angle c$\
(IMAGES CANNOT COPY).

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Problem 41

Find $m \angle a, m \angle b,$ and $m \angle c$\
(IMAGES CANNOT COPY).

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Problem 42

Find $m \angle a, m \angle b,$ and $m \angle c$\
(IMAGES CANNOT COPY).

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Problem 43

Label as true or false.
There are exactly two different line segments that can be drawn through two points.

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Problem 44

Label as true or false.
There are exactly two different lines that can be drawn through two points.

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Problem 45

Label as true or false.
Two opposite sides of a square are parallel line segments.

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Problem 46

Label as true or false.
Two adjacent sides of a square are perpendicular line segments.

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Problem 47

Label as true or false.
$\angle A B C$ will always have the same measure as $\angle C A B$

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Problem 48

Label as true or false.
Two acute angles have the same measure.

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Problem 49

For each angle described, give its measure in degrees. Sketch the angle.
$\angle A$ represents $\frac{1}{6}$ of a complete circle.

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Problem 50

For each angle described, give its measure in degrees. Sketch the angle.
$\angle B$ represents $\frac{1}{3}$ of a complete circle.

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Problem 51

For each angle described, give its measure in degrees. Sketch the angle.
$\angle C$ represents $\frac{7}{12}$ of a complete circle.

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Problem 52

For each angle described, give its measure in degrees. Sketch the angle.
$\angle D$ represents $\frac{11}{12}$ of a complete circle.

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Problem 53

ELECTRONICS This is a picture of an analog voltmeter. The needle rotates clockwise as the voltage increases. The total angular distance covered by the needle as it travels from 0 volts (V) to $10 \mathrm{V}$ is $100^{\circ} .$
(IMAGES CANNOT COPY).
(a) Assuming that the angle is proportional to the voltage, what angular distance do you estimate the needle would travel from the initial
0 -V position if $5 \mathrm{V}$ are measured?
(b) If the angular distance traveled from the original 0 -V location is $85^{\circ}$, estimate the voltage.

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Problem 54

Automotive Technocoar In a 4 -stroke engine, the crankshaft turns two complete turns for each cycle of a cylinder. How many degrees does the crankshaft turn for one cycle?

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