Unit 8, Lesson 3

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Geometry

Practice

Problem 1

List all the possible outcomes for spinning the spinner and flipping a fair coin.

<p>Spinner with 3 equal sections labeled X, Y and Z.</p>

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Problem 2

A student picks a random letter from the word CAT and a random letter from the word MEOW.

How many outcomes are in the sample space?
What is the probability that a C is chosen?
What is the probability that a W is chosen?
What is the probability that a C and a W are chosen?

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Problem 3

Tyler wants to grow some plants in his garden to attract pollinators such as local bees and wasps. He can make a box planter or purchase a round one. Then he can plant one of 5 different flower options in the planter. He has trouble deciding on either of the choices, so he selects the planter type and flower at random. How many different outcomes are possible?

2
5
7
10

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Problem 4

ForLesson 2: Playing with Probability

A spinner is divided into 5 equal sections. 2 of them are red, 1 of them is orange, 1 of them is yellow, and 1 of them is green.

What is the probability that it lands on red?
What is the probability that it lands on orange or yellow?
What is the probability that it lands on blue?

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Problem 5

ForLesson 1: Up to Chance

Select all of the situations that have a 25% chance of occurring.

Rolling a standard number cube and getting a 4.
Flipping two fair coins and getting heads on the first flip and tails on the second flip.
Picking a letter at random from the word KALAMATA and getting an A.
Picking a letter at random from the word CALAMITY and getting an A.
Getting the correct answer when guessing randomly on a multiple choice question that has 4 choices.

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Problem 6

ForLesson 9: Part to Whole

A circle has radius 12 inches, and a central angle is drawn in. The length of the arc defined by the central angle is \(20\pi\) inches. Find the area of the sector outlined by this arc.

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Problem 7

ForLesson 4: Construction Techniques 2: Equilateral Triangles

Here is a straightedge and compass construction. Use a straightedge to draw a triangle that is not an equilateral triangle. Explain how you know.

<p>Seven equal radius circles with one in the center and six centered evenly around the center circle.</p>

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