Warm Up Over Lesson 1–4 Refer to the figure. Name the vertex of 3. What is another name for ∠3? Take Note Adjacent Angles Description: two angles that have the same vertex and are next to each other. Diagram: Name: ∠1 𝑖𝑠 𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝑡𝑜 ∠2 Take Note Linear Pair Description: two adjacent angles that form a straight line. Diagram: Name: ∠1 𝑎𝑛𝑑 ∠2 𝑓𝑜𝑟𝑚 𝑎 𝑙𝑖𝑛𝑒 All linear pairs add up to 180° Take Note Vertical Angles Description: two angles across from each other that are formed by intersecting lines. Diagram: Name: ∠1 𝑎𝑛𝑑 ∠3; ∠2 and ∠4 Vertical angles are congruent For Example • Name a pair of vertical angles For Example • Name a linear pair For Example • Name a pair of adjacent angles You Try Name a pair of vertical angles, a linear pair, and a pair of adjacent angles. Take Note Complementary Angles Description: two angles that add to 90° Diagrams: Examples: ∠𝟏 𝒂𝒏𝒅 ∠𝟐; ∠𝑨 𝒂𝒏𝒅 ∠𝑩 Take Note Supplementary Angles Description: two angles that add to 180° Diagrams: Examples: ∠𝟑 𝒂𝒏𝒅 ∠𝟒; ∠𝑷 𝒂𝒏𝒅 ∠𝑸 For Example • Find the value of x and y. Homework • HW 7: Pg.50 #’s 8-17, 19-21, 28- 30,49
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