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Suppose = 32° = 5x , = 12x-6° Find x, then find the measure of each angle. 1. 2. 3. 4. Do Now Questions (limit to 5) Notes Practice We will be able to… define and apply the geometry tools perpendicular and angle bisectors 3 Ways to Name an Angle: 1. The inscribed number 2. The vertex 3. A point on one side, the vertex, and a point on the other side. Perpendicular Lines are two lines that intersect to form right angles. The symbol: Means “is perpendicular to” Example: A Perpendicular Bisector of a segment can be a line, segment, or ray that is perpendicular to the segment at its midpoint… which means? The perpendicular bisector cuts the segment in half – or into two congruent segments. AB = 12 cm. CD is the perpendicular bisector of AB. Find the length of AO and OB. CD is the perpendicular bisector of AB. Find the length of AO and OB. AO = 4x – 20 0B = 2x + 30 CD is the perpendicular bisector of AB. Find the length of AO and OB. AO = 4x + 50 AB = 12x + 20 An Angle Bisector is a ray that divides an angle into two congruent coplanar angles. The ray’s endpoint is at the angle vertex. Angles that have the same degree measure. JKN 100 CD is the perpendicular bisector of AB. Find the length of AO and OB. AO = 2x-6 AB = 6x+18 DO Now Identify Complements and Supplements Determine whether the angles are complementary, supplementary, or neither. 1. 2. 3. Tell whether the numbered angles are adjacent or nonadjacent. c. 5 6 Although5 and 6 share a common vertex, they do not share a common 5 side. Therefore, and are nonadjacent. 6 What is the value of x if both of these angles are complementary? *Hint Complementary angles add up to 90 1. 3x+5 5x-15