Acute Couple ANGLES AND ANGLE PAIRS. Do Now Draw point M Draw segment ML Draw segment MN Make sure that ML and MN use the same point M Draw point P Draw.

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Presentation transcript:

Acute Couple ANGLES AND ANGLE PAIRS

Do Now Draw point M Draw segment ML Draw segment MN Make sure that ML and MN use the same point M Draw point P Draw segments PT and ray PR from the original point

Objective Classify and name angles and angle pairs Why it matters in THIS CLASS: Angles are one of the most basic elements we learn about in this class. They greatly affect the shape of things we will learn about this year. Why it matters in LIFE: Different angles can be seen throughout your environment. They play a role in everything from driving to shooting a basketball.

Classifying Angles

A I H G B C F D E Naming Angles Vocab Alert : Vertex

A I H G B C F D E Naming Angles

G 1 2 A I H B C F D E

Check Your Understanding: Classify this angle, Name this angle FOUR different ways D E 1 F

String it Together Wanted: 3 volunteers with different initials Create a… Right Angle Acute Angle Obtuse Angle Who is the vertex? Who are the endpoints? Name the angle in three ways.

Independent Practice: Name as many angles as you can!

Complementary Two angles whose measures add to 90 degrees A 53◦ 37◦ 45◦ B E F D C

Supplementary Two angles whose measures add to 180 degrees F C E D 120◦ 60◦ 30◦ 150◦

Adjacent Angles Share a vertex and a side but have no common interior points. 1 2

Linear Pair A pair of adjacent angles whose noncommon sides are opposite rays Form a straight line - supplementary 4 3

Vertical Angles Two nonadjacent angles formed by two intersecting lines EQUAL measure ◦ 100◦ 80◦ What do all of the angles around the vertex sum to?

Four Corners Each corner represents a different type of angle: complementary, adjacent, linear pair, or vertical 30 seconds to make a choice and silently move to your corner. Be prepared to justify your reasoning.

Solving for angle measures Identify the angle pair and then write an equation to solve.

Solving for angle measures

Angle Measures: Gallery Walk 2 minutes at each station to solve the problem(s) with your partner. On task conversation in a level 1 voice Remember,

Independent Practice Complete the angle maze by yourself