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 Blanks

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 Blanks

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