Angles and Angle Pairs PDF

MATH ANGLES and TOPIC ANGLE PAIRS  OBJECTIVES: MATH T1.2. Angle Paisr LC1.3. Describe and Explain the relationships between angle pairs...

MATH ANGLES and TOPIC ANGLE PAIRS  OBJECTIVES: MATH T1.2. Angle Paisr LC1.3. Describe and Explain the relationships between angle pairs based on their measures. LO3.1. Classify different kinds of angles. FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  ANGLE MATH An angle is formed by two noncollinear rays called sides (initial and terminal sides) that have in itial side a common endpoint called vertex. FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  ANGLE MATH An angle divides the points on the plane into three regions: In ter io r 1. the points in the interior 2. the points in the exterior 3. the points on the ray Exter io r itself FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  NAMING AN ANGLE MATH A Angles are named using the symbol “∠” There are three ways of naming an angle: a. Using the vertex 1 b. Using three distinct points in the angle (point on one side of the angle, S H followed by the vertex, then point on the other side of angle) ∠𝑺 ∠𝑯𝑺𝑨 c. Using a number ∠𝑨𝑺𝑯 ∠𝟏 FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  NAMING AN ANGLE MATH W U S 3 5 A T S FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  MATH BLANK SPACES, TIVI C TY SHARP ANGLES A  TIVIT BLANK SPACES, SHARP ANGLES MATH AC Y 1. Think back to what you recall on from the handout given on angles. 2. Carefully look at each picture on the following slides. Pay attention to the size and shape to determine the appropriate term/ type of angle. 3. Use your knowledge to fill in the blanks with the correct letters to complete the word. FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  R FL X _E__E_ ANGLE MATH A reflex angle is an angle whose measure is greater than 180° but less than 360 ° FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  IG T R__H_ ANGLE MATH A right angle is an angle whose measure is exactly 90° The indicates that the measure of the angle is 90 ° FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  A U E _C_T_ ANGLE MATH An acute angle is an angle whose measure is less than 90° FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  OB US __T__E ANGLE MATH An obtuse angle is an angle whose measure is greater than 90° but less than 180 ° FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua Acute Obtuse Obtuse Right Acute Obtuse  STR GH ___AI__T ANGLE MATH A straight angle is an angle whose measure is exactly 180° FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  TYPES OF ANGLES MATH FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  MATH ANGLE TOPIC PAIRS  COMPLEMENTARY ANGLES MATH Two angles are complementary if the sum of their measures is 90°. Each angle is called the complement of the other. 𝟗𝟎 FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  SUPPLEMENTARY ANGLES MATH Two angles are supplementary if the sum of their measures is 180°. Each angle is called the supplement of the other. 𝟏𝟖𝟎 FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  TIVIT COMPLEMENT, SUPPLEMENT MATH AC Y 1. Which is the complement of 30°? 60° 2. Which is the complement of 12°? 78° 3. Which is the supplement of 79°? 101° 4. Which is the supplement of 153°? 27° 5. Which is the complement of 45°? 45° 6. Which is the supplement of 90°? 90° FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  CONGRUENT ANGLES MATH Two angles are congruent if they have the same measure. FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  ADJACENT ANGLES MATH Two coplanar angles with a common side, a common vertex and no common interior point. ∠𝑫𝑩𝑨 𝒂𝒏𝒅 ∠𝑨𝑩𝑪 FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  LINEAR PAIR MATH 𝟏𝟖𝟎 two adjacent angles which form a straight line and are supplementary FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  VERTICAL ANGLES MATH Two angles whose sides form two pairs of opposite rays Vertical angles are congruent. FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua 1. 4. 2. 5. 3. 6.  MATH BLOOKET TIVI C TY A Prepare your device for the game link.  ANGLE PAIRS MATH 1. Why is it important to understand the relationships between different types of angle pairs in real life? 2. Can you think of a scenario where misjudging the relationship between angle pairs might lead to problems in real life? FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  “Angle pairs are like the building blocks of the world around us—knowing how they work helps you create, design, and solve anything with confidence.”