Lesson 5: Angles and Angle Pairs PDF
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Uploaded by MonumentalTriumph8345
St. Mary's College
2024
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Summary
This document is a lesson on angles and angle pairs, including classifications of acute, obtuse, right and other angles. It also includes definitions and properties of supplementary, complementary, adjacent and vertical angles, as well as examples. The file has been prepared by St. Mary's College in the Philippines during the first quarter of 2024-2025.
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Review It is named using a capital letter. Point A line that has only one endpoint. Ray A line that has two endpoints. Segment Points that lie on the same line. Collinear Points that does not lie on the same line. Noncollinear Points that lie on the...
Review It is named using a capital letter. Point A line that has only one endpoint. Ray A line that has two endpoints. Segment Points that lie on the same line. Collinear Points that does not lie on the same line. Noncollinear Points that lie on the same plane. Coplanar Points that does not lie on the same plane. Noncoplanar St. Mary’s College, Quezon City ISO 9001 : 2015 Certified PAASCU Accredited Level II Lesson 5 ANGLES & ANGLE PAIRS ©JFL│2024 MATHEMATICS 7│1st Quarter (S.Y. 2024 – 2025) St. Mary’s College, Quezon City ISO 9001 : 2015 Certified PAASCU Accredited Level II OBJECTIVES In this lesson, you will be able to… ANGLES & ANGLE PAIRS ① classify the different kinds of angles; ② state the properties of angle pairs and find their measures. ©JFL│2024 MATHEMATICS 7│1st Quarter (S.Y. 2024 – 2025) A D G B E H C F I common endpoint VERTEX of the angle two rays SIDES of the angle Definition of an Angle Is formed by two noncollinear rays that have a common endpoint. The endpoint is the vertex of the angle, and each ray is the side of the angle. B exterior A vertex E D interior 𝑨𝑩 sides A C 𝑨𝑪 Naming an Angle C B D 1 1 x A C A B BAC CAB A 1 Naming an Angle C B D 1 1 x A C A B BAC CAB A 1 Naming an Angle C B D 1 1 x A C A B BAC CAB A 1 Naming an Angle C B D 1 1 x A C A B BAC CAB CAD CAB BAC DAC A 1 DAB 1 x BAD Name each angle in 4 ways Classification of Angles Less than 90O Acute Angle Classification of Angles Equal to 90O Right Angle Classification of Angles Greater than 90O Obtuse Angle Classification of Angles Properties of Angle Pairs ADJACENT ANGLES Two angles which have a common vertex and a common side no interior points in common BAC and CAD ray BD is the common side Properties of Angle Pairs VERTICAL ANGLES Two nonadjacent angles formed by two intersecting lines 1 and 3 1 is congruent to 3 2 and 4 2 is congruent to 4 III. Find the measure ofTIK 13. H T I N K Properties of Angle Pairs COMPLEMENTARY ANGLES if the sum of their measures is 90o Each angle is called the complement of the other. May or may not be adjacent Properties of Angle Pairs SUPPLEMENTARY ANGLES if the sum of their measures is 180o Each angle is called the supplement of the other. May or may not be adjacent Properties of Angle Pairs LINEAR PAIR adjacent angles that form a straight line Their uncommon sides are opposite rays. They are supplementary. p. 414 Find the measure ofTIK 11. H T I 140° N K Given: D and I are supplementary angles. Find the measure of both angles if mD = 3x + 8 and mI = 2x – 18. Given: D and I are supplementary angles. Find the measure of both angles if mD = 3x + 8 and mI = 2x – 18. St. Mary’s College Quezon City ISO 9001 : 2015 Certified PAASCU Accredited Level II ACTIVITY 1 MS FORMS Math 7|Q4_Activity 1 (Points, Lines, Planes, & Angle Pairs)
