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(Not in packet) After completing the lesson, students will demonstrate that they can classify and name angles and find their measures by completing the lesson activities and a homework assignment. (Not in packet) The word geometry comes from a Greek word meaning 'to measure the earth." (Not in packet) (Packet pg. 1) Let's Review! (Packet pg. 1) (Packet pg. 2) (Packet pg. 2) Use words and symbols to describe each diagram. 1 2 3 4 (Packet pg. 3) An angle ( ) is formed by two rays, or sides, with a common endpoint called the vertex. You can name an angle several ways: by its vertex, by its vertex and a point on each ray, or by a number. When three points are used, the middle point must be the vertex. Y XYZ ZYX 1 Let's Practice Naming Angles (Packet pg. 3) Give four names for each angle. 3 1 2 (Packet pg. 4) Types of Angles Acute Angle Right Angle Obtuse Angle Straight Angle Classify each angle as acute, right, obtuse or straight. (Packet pg. 4) 2) 1) A. B. C. D. A. B. C. D. acute angle right angle obtuse angle straight angle acute angle right angle obtuse angle straight angle Classify each angle as acute, right, obtuse or straight. (Packet pg. 5) 3) 4) A. B. C. D. acute angle right angle obtuse angle straight angle A. B. C. D. acute angle right angle obtuse angle straight angle (Packet pg. 5) (Packet pg. 6) 45o 135 o 50 Complementary and Supplementary Angles YouTube.website o 40 o (Packet pg. 6) Get Your Whiteboard! Find the measure of the complement for each angle. 1) 2) b= 3) z= c= (Packet pg. 7) hg for eac le g n a ary gle. iven an t plemen m o c e h Name t (Packet pg. 7) Match each angle to its supplement. We will click in the answers. 2) 1) A) B) 3) 4) C) D) (Packet pg. 8) (Packet pg. 8) When two lines intersect they form four angles. Angles that have the same vertex and whose sides are opposite rays are called vertical angles, and they are always congruent. m 1=m 3 m 2=m 4 1 4 3 (Packet pg. 9) pairs of vertical angles a and b c and d m 1 = 37o m 2= m 3= m 4= (Packet pg. 9) (Packet pg. 10) Congruent figures have the same size and shape. The symbol ≅ means is congruent to. What's the difference between congruent and equal? Only numerical measures (such as the measure of an angle or the length of a segment) are called equal. Figures that are the same shape and size are congruent. (Packet pg. 10)