Lesson 4-1: Angles Notation and Types of Angles
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1 Name: Date: Lesson 4-1: Angles Notation and Types of Angles Learning Goals: 1. What are a right angle, acute angle, and obtuse angle? 2. How do I name an angle? 3. How can we use special angle pair definitions to solve for missing angles? What is an angle? The space between two intersecting lines. Right Angle: An Angle that measures: Acute Angle: An Angle that measures less than degrees, but more than degrees. Vocab alert! Obtuse angle: An angle that measures more than degrees, but less than degrees. Straight angle (a line): An angle that equals: Try it: a) Shade in Angle A: b) < A is a(n) angle because. < B is a(n) angle because.
2 Naming an Angle: We can name an angle in a variety of ways 1) By the letter of its: 2) By the three letters that make it up, where the goes in the MIDDLE! 3) By the number placed in front if the angle if there is one! We can call this We can call this We can call this However!!! There are exceptions! Take the example below (the angle indicated in red) We can t call this because it shares a vertex with other angles! So here we would have to use three letters: Let s Try What angle has a measure of 30 degrees? Let s use the correct notation! **Why can t we call this A?
3 Exploring Special Angle Relationships Linear Pairs of Angles Two angles that form a, making them Vocab alert! Given: m AED = 85 Can we find the measure of the other three angles in this picture using linear pairs? AED = 85 AEB = BEC= CED = *What do you notice about BEC and AED? *What is the sum of all of the angles?
4 Putting it all together! Concept Diagram Definition Example Vertical angles Two angles each other when 2 lines These angles are always Complementary Angles Two angles that add to. Supplementary Angles Two angles that add to. Angles at a Point Angles where all vertices share the same. Their sum is. Supplementary angles that are Linear Pair on a line and add to.
5 Let s Try Some: Level 2: Name the following indicated angles: Directions: For each pair of angles indicated in the diagram below, state whether they are: Complimentary, Linear Pairs, vertical, angles at a point. Type of Angles: Type of angles: Type of Angles: Type of Angles:
6 Level 3: Directions: For each diagram below, state the type of angles shown (complementary, linear pairs, vertical, or angles at a point). Then determine the number of degrees in angle b based on the relationship between the types of angles you have chosen. 1. Type of Angles: Relationship: b = 2. Type of Angles: Relationship: b = 3. Type of Angles: Relationship: b = 4. Type of Angles: Relationship: b =
7 Directions: For the following examples: 1) State the type of angles shown (using the vocabulary we ve been discussing), 2) State the relationship between the angles (add up to 180, add up to 90, or are congruent), and 3) Find the missing angle value ) 1) 2) 2) 3) 3) ) 1) 2) 2) 3) 3)
8 Level 4: 1. a. A and B are supplementary angles. If m A = 4x+4 and B = 2x+2. Find the value of x. b. Find the measurement of A 2. Two complimentary angles are represented as 3x and 6x. Find out the measure of both angles.
9 Name: Date: 1) 4 and 5 are. (cirlce one) 2-1: Homework a) Vertical b) Linear Pair c) Complementary d) Angles at a Point 2) Solve for b. 3) If an angle measures 56, how much is an angle that is complementary to it? 4) Solve for x: 5) If the m 1 = 2x + 3, and the m 3 = x a. Solve for x. Hint: 1 and 3 are (type) angles. Their relationship is b. Solve for 1..
10 Directions: Log into Google Classroom and watch the video posted. Take all notes on this page. Mastery of the content of this video is essential for our next lesson in class. This page will be checked tomorrow in class and you may take an entrance quiz to prove your mastery of the concept. IF YOU DO NOT WATCH THIS VIDEO, YOU WILL BE REQUIRED TO STAY AFTER SCHOOL THE NEXT DAY. Classifying Triangles by their Interior Angles Acute Right Obtuse Classifying Triangles by their Side Lengths: A triangle will always have either: No Congruent Sides 2 Congruent Sides: 3 (all) Congruent Sides:
What is an angle? The space between two intersecting lines.
Name: Date: Lesson 4-1: Angles Notation and Types of Angles Learning Goals: 1. What are a right angle, acute angle, and obtuse angle? 2. How do I name an angle? 3. How can we use special angle pair definitions
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