Unit 4A – Geometric Figures Lesson 1 Classify Angles

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Presentation transcript:

Unit 4A – Geometric Figures Lesson 1 Classify Angles Unit 4 Geometry Unit 4A – Geometric Figures Lesson 1 Classify Angles

Lesson 1: Classify Angles Objective: Swbat classify angles. Do Now: Quick Check

Lesson 1: Classify Angles Definitions Vertex is the point where the two rays meet. Right Angle is exactly 90°. Acute Angle less than 90°. Obtuse Angle is greater than 90°. Straight Angle is exactly 180°. Congruent angles have the same measure. Vertical Angles are opposite angles formed by intersecting lines and are congruent. Adjacent angles share a common vertex and side.

Lesson 1: Classify Angles Angles can be named several ways: - use the vertex as the middle letter and a point from each ray - use the vertex only - use a number <XYZ or <ZYX X <Y 1 Y <1 Z Classify: acute

Lesson 1: Classify Angles Name each angle and classify. A b. T 2 3 B C R S

Lesson 1: Classify Angles Intersecting Lines form vertical and adjacent angles. 2 1 3 4 Vertical Angles Adjacent Angles <1 <3 <1 and <2 <2 <4 <2 and <3 <3 and <4 <1 and <4

Lesson 1: Classify Angles Find the value of x. 2x + 2 130 Since vertical angles are equal then 2x + 2 = 130 Solve for x:

Lesson 1: Classify Angles Find the value of x. 115° 5x Since the adjacent angles form a straight line then 5x + 115 = 180 Solve for x: What is the measure of each angle?

Classwork Guided Practice #1 – 4 Independent Practice #1 – 11 Problem Solving Practice #1 - 6

Closure Question: What are the four types of angles? Exit Ticket Homework: Practice #1 - 14

Exit Ticket Find the value of x. 12x - 3 105

Homework