Unit 4A Study Guide

Unit 4A Study Guide

Making Relevant Connections with Geometry

Multiple Choice

What are supplementary angles?

• Angles that add up to 180°
• Angles that add up to 90°
• Angles that are equal to each other
• Angles that are opposite of each other when lines intersect

Multiple Choice

Two angles added together to produce 90 degrees

• Supplementary
• Complementary
• Right
• Vertical

Multiple Choice

Practice 1a: Name a pair of complementary angles

• $$\angle1\ and\ \angle2$$

• $$\angle3\ and\ \angle2$$

• $$\angle4\ and\ \angle5$$

• $$\angle3\ and\ \angle5$$

Multiple Choice

Which are pairs of vertical angles?

• ∠COB & ∠COA
• ∠AOD & ∠AOC
• ∠COB & ∠AOD
• ∠BOD & ∠AOD

Multiple Choice

Which equation can be used to determine the value of x?

• 2x + 10 = 46

• 2x + 10 + 46 = 180

• 2x + 10 + 46 = 90

• not here

Multiple Choice

What is the value of x?

• 20°

• 30°

• 40°

• 60°

Multiple Choice

What is the value of x?

• 6

• 9

• 18

• 68

Multiple Choice

What is the value of x?

• 37
• 72
• 108
• 18

Multiple Choice

• 25 degrees

• 45 degrees

• 20 degrees

• 35 degrees

Multiple Choice

Tell whether the angles are complementary or supplementary. Then find the value of x.

• Complementary; x=25
• Complementary; x=5
• Supplementary; x=25
• Supplementary; x=5

Multiple Choice

• 15
• 16
• 18
• 19

Multiple Choice

Find the value of x.

• 14

• 60

• 35

• 180

Multiple Choice

Solve for x

• 6
• 140
• 20
• 90

Circle

The set of points equidistant from a given point called the center

Parts of a Circle

• Radius: line segment that goes from the center to the edge of the circle (HALF the DIAMETER)

• Diameter: line segment that goes from edge to edge on a circle (TWICE the RADIUS)

• Circumference: the distance around the outside of a circle (AKA perimeter)

Multiple Choice

Name the pictured part of the circle.

• Diameter

• Sector

• Radius

• Central Angle

• Arc

Multiple Choice

Does this picture show the diameter or radius of a circle?

• Diameter

• Radius

Multiple Choice

A tire has a radius of 14 inches. What is its diameter?

• 14 inches

• 7 inches

• 28 inches

Fill in the Blank

What is the length of the radius of the circle?

Circumference

• There are two fomulas for finding circumference

• C = πd

• C = 2πr

• Circumference is a little more than 3 times the diameter

• Circumference is the same as perimeter or distance around

Fill in the Blank

The radius of the circle is 9 meters. What is the circle's circumference?

Use 3.14 for pi

Multiple Choice

What is the circumference of this circle? Round your answer to the nearest hundredth and use 3.14 for pi.

$$C=2\pi r$$  
$$C=\pi d$$  

• 37.68 in

• 12 in

• 6 in

• 75.36 in

Multiple Choice

You collect coins. One of your favorite coins is a silver-colored coin showing a man’s portrait. The radius of the coin is 12 millimeters. What is the circumference of the coin? 

Round your answer to the nearest hundredth and use 3.14 for pi.

• 12 mm

• 24 mm

• 75.36 mm

• 37.68 mm

Multiple Choice

A bicycle tire has a diameter of 27 inches. How far does the bike travel along the ground when the wheel rotates once? $$C\ =\ \pi d\ or\ C\ =\ 2\pi r$$

• 13 square inches

• 15.5 square inches

• 84.78 square inches

• 27 square inches

Area of a circle is the amount of space inside the circle.

To calculate area of a circle we multiply 3.14 x radius²

That means we multiply the radius x itself first!

Multiple Choice

find the area of the circle below.

• 100 cm
• 225 cm
• 9 cm
• 28.26 cm

Multiple Choice

Find the area of the circle

• 43.96

• 153.86

• 87.82

• 307.72

Multiple Choice

What is the area of a circle with a diameter of 18 in? (Remember that you need the radius...not diameter)

$$A=\pi\cdot r^2$$  

• 1017.36

• 254.34

• 56.52

Multiple Choice

What is the area of a circle with a diameter of 8 in? (Remember that you need the radius...not diameter)

$$A=\pi\cdot r^2$$  

• 200.96

• 113.04

• 50.24

Multiple Choice

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area? $$A=\pi r^2$$  

• $$31.25\ m^2$$  

• $$30.36\ m^2$$  

• $$29.55\ m^2$$  

• $$28.26\ m^2$$  

Multiple Choice

You want to buy the largest pizza in Northern Utah. You find a pizza that measures 75.36in around. What is the area that the pizza covers? $$A\ =\pi r^2$$  

• $$452.16\ in^2$$  

• $$24\ in^2$$  

• $$144\ in^2$$  

• $$24\ in^2$$  

Multiple Choice

What is the Surface Area?

• 32
• 38
• 42
• 40

Multiple Choice

Find the total surface area of the prism.

• 48 square inches
• 64 square inches
• 88 square inches
• 76 square inches

Surface Area of a Cylinder

Geometry

Multiple Choice

Find the total surface area of the cylinder.

Round to the nearest whole number.

• 1206 ft²

• 2413 ft²

• 3619 ft²

Multiple Choice

What formula would you use to find...​ ​ ​ ​​

• V = Bh

• $$2\pi r^2$$  

• $$S=2\pi rh\ +2\pi r^2$$  

• $$V=\frac{1}{3}Bh$$  

• $$V=\frac{4}{3}\pi r^3$$  

Multiple Choice

Find the Total Surface area of the cylinder.

• 62.8m

• 477.28 cm²

• 235.5 cm³

• 942 cm²

Since the Base is a circle we use the Area formula for a circle of A = π​ r²

Multiply it by the height.​

Cylinder V = π r² h

Find the Area of the Base (triangle, rectangle, etc..)
Multiply it by the height.​

Prism V = Bh
or
L x W x H

Volume Formulas

Some text here about the topic of discussion

Multiple Choice

Find the volume of the rectangular prism.

• 55 yd³

• 121 yd³

• 22 yd³

• 330 yd³

Multiple Choice

Find the volume of the solid shown in the figure. Round to the nearest whole number.

• 7230

• 6621

• 1131

• 907

Multiple Choice

Find the volume of the figure. Round to the nearest tenth.

• 80 cm³
• 40 cm²
• 80 cm²
• 40 cm³

Multiple Choice

Find the Volume of the triangular prism.

V = (base area)(height)

• 960 cm ³

• 240 cm ³

• 1920 cm ³

• 400 cm ³

Multiple Choice

Find the volume of the figure.

• 63 cm³
• 91 cm³
• 819 cm³
• 409.5 cm³

Multiple Choice

Find the volume of the cylinder. Round to the nearest whole number.

• $$90\ m^3$$  

• $$1696\ m^3$$  

• $$565\ m^3$$  

• $$283\ m^3$$  

Multiple Choice

Find the volume of the composite figure.

• $$616\ ft^3$$

• $$224\ ft^3$$

• $$210\ ft^3$$

• $$630\ ft^3$$

Multiple Choice

Find the volume of the composite solid.
Use 3.14 for pi.

• 188.4 m³
• 753.6 m³

Multiple Choice

What shape will the horizontal (parallel) cross-section of a cone be?

• Dome
• Circle
• Pyramid
• Triangle

Multiple Choice

What shape will the vertical (perpendicular) cross -section of a cylinder be?

• Circle
• Triangle
• Rectangle
• Ellipse

Multiple Choice

What shape will the vertical (perpendicular) cross-section of a cube be?

• Square
• Triangle
• Trapezoid
• Circle