Presentation on theme: "1.6 Angle Relationships 9/10/12"— Presentation transcript:
1 1.6 Angle Relationships 9/10/12 Pairs of AnglesAdjacent AnglesVertical AnglesLinear PairComplementarySupplementaryCCSS: G-CO1Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
2 Mathematical Practice 1. Make sense of problems, and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments, and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for, and make use of, structure. 8. Look for, and express regularity in, repeated reasoning.
3 E.Q:1. What are characteristics of complementary, supplementary, adjacent, linear and vertical angles?2. How do we use the formulas for area and perimeter of 2-D shapes to solve real life situations?
4 Adjacent AnglesAdjacent angles – two angles that lie in the same plane, have a common vertex, and share a common side, but NO common interior points.CACBDABD
5 Vertical AnglesVertical angles – two nonadjacent angles formed by two intersecting lines.BAECD
6 Linear PairA linear pair – a pair of adjacent angles whose non-common sides are opposite rays.BECD
7 Identify Angle Pairs Name an angle pair that satisfies each condition. Two obtuse vertical angles.Two acute adjacent angles.XV115°Z65°65°50°65°WTY
8 Angle Relationships Complementary Angles Two angles whose measures have a sum of 90°.AEB50°40°1DF2C
9 Angle Relationships Supplementary Angles Two angles whose measures have a sum of 180°.ABCD80°100°NM
10 Angle MeasuresFind the measure of two complementary angles if the difference of the measures is 12.x°BA
11 Angle MeasuresFind the measure of two complementary angles if the difference of the measures is 12.
12 Perpendicular Lines Perpendicular lines – lines that form right angles Intersect to form four right angles.Intersect to form congruent adjacent angles.Segments and rays can be perpendicular to lines or to the other line segments and rays.The right angle symbol in the figure indicates that the lines are perpendicular.is read “is perpendicular to”.XZ WYYXZW
13 Perpendicular Lines Find x and y so that BE and AD are perpendicular.
14 1.7 Introduction to Perimeter, Circumference, & Area 9/10/12