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Five-Minute Check (over Chapter 9) Main Idea and Vocabulary Example 1: Naming Angles Key Concept: Types of Angles Example 2: Classify Angles Example 3: Classify Angles Key Concept: Vertical Angles and Adjacent Angles Example 4: Real-World Example Lesson Menu

Angle: has 2 sides that share a common endpoint. Classify angles and identify vertical and adjacent angles. Angle: has 2 sides that share a common endpoint. Degrees: All angles are measured in degrees. Vertex: The endpoint where the 2 sides of the angle meet (always in the middle). Adjacent Angles: 2 angles that share a common vertex, common side and do not overlap (remember: they sit next to each other). Vertical Angles: 2 angles that are opposite angles formed by intersecting lines (remember: they always sit across from each other). Main Idea/Vocabulary

Right Angle: An angle that measures exactly 90 degrees. Acute Angle: Angles that measure greater than zero degrees and less than 90. Obtuse Angle: Angles that measure greater than 90 degrees and less than 180. Right Angle: An angle that measures exactly 90 degrees. Straight Angle: Angles that measure exactly 180 degrees or make a straight line. Congruent Angles: 2 angles that have the same measure in degrees. Main Idea/Vocabulary

Name the angle at the right. Naming Angles Name the angle at the right.  Use the vertex as the middle letter and a point from each side. FGH or HGF  Use the vertex only. G Use a number. 2 Answer: The angle can be named in four ways: FGH, HGF, G, 2. Example 1

Which of the following is not a name for the angle below? A. RST B. T C. 3 D. S A B C D Example 1

KC 1

Classify the angle as acute, obtuse, right, or straight. Classify Angles Classify the angle as acute, obtuse, right, or straight. Answer: The angle is exactly 180°, so it is a straight angle. Example 2

Classify the angle as acute, obtuse, right, or straight. A. acute B. obtuse C. right D. straight A B C D Example 2

Classify the angle as acute, obtuse, right, or straight. Classify Angles Classify the angle as acute, obtuse, right, or straight. Answer: The angle is less than 90°, so it is an acute angle. Example 3

Classify the angle as acute, obtuse, right, or straight. A. acute B. obtuse C. right D. straight A B C D Example 3

KC 2

Similarly, 4 and 5 are adjacent angles. Since 3 and 5 are opposite angles formed by the intersection of two lines, they are vertical angles. Since 3 and 4 share a common side and vertex and do not overlap, they are adjacent angles. Similarly, 4 and 5 are adjacent angles. Answer: 3 and 5 are vertical angles. 3 and 4 are adjacent angles. 4 and 5 are adjacent angles. Example 4

For the figure shown, which of the following is true? A. B. C. D. A B C D Example 4

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Five-Minute Check (over Chapter 9) Image Bank Math Tools Tessellations Translations Resources

How many ways can 7 books be stacked in a single pile? (over Chapter 9) There are 12 balls in a hat and 3 are red. What is the probability of drawing a red ball? Use the Fundamental Counting Principle to find the total number of outcomes when choosing an outfit from 3 pairs of pants, 5 shirts, and 4 jackets. How many ways can 7 books be stacked in a single pile? A coin is tossed 14 times. It lands on heads 8 times and on tails 6 times. What is the theoretical probability of landing on tails? What is the experimental probability of the coin landing on tails? A B C D A number cube is rolled and the spinner shown in the image is spun. What is the probability of rolling an even number and spinning an odd number? Five Minute Check 1

(over Chapter 9) There are 12 balls in a hat and 3 are red. What is the probability of drawing a red ball? A. B. C. D. A B C D Five Minute Check 1

(over Chapter 9) Use the Fundamental Counting Principle to find the total number of outcomes when choosing an outfit from 3 pairs of pants, 5 shirts, and 4 jackets. A. 12 B. 60 C. 80 D. 120 A B C D Five Minute Check 2

How many ways can 7 books be stacked in a single pile? (over Chapter 9) How many ways can 7 books be stacked in a single pile? A. 5,040 B. 49 C. 10,080 D. 4,900 A B C D Five Minute Check 3

(over Chapter 9) A coin is tossed 14 times. It lands on heads 8 times and on tails 6 times. What is the theoretical probability of landing on tails? What is the experimental probability of the coin landing on tails? A. B. C. D. A B C D Five Minute Check 4

(over Chapter 9) A number cube is rolled and the spinner shown in the image is spun. What is the probability of rolling an even number and spinning an odd number? A. B. C. D. A B C D Five Minute Check 5

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