Sewanhaka High School Math 8 Class:______________ Name:___________________________________ Mrs. Lidowsky, Principal Mr. Long, Teacher Date:________________________ H.W. #57: Ditto DO-NOW #57: Answer the following questions: 1) <ABD is a right angle. Find the 2) <FAN is a straight angle. Find m<ABC and m<CBD. What type of the m<FAR and m<RAN. What angles are <ABC and <CBD and type of angles are <FAR and <RAN why? and why? 3) Refer to the picture below. Lines AB and CD intersect at E. Find the measure of each angle. What type of angles are <AEC and <DEB and what type of angle are <CEB and <AED and why? Topic: Geometry with Algebra Main Idea: Perpendicular and Parallel Lines Aim: ( ) wants to get to the Justin Beiber concert at the Nassau coliseum by using HER SHS bus. SHE travels down New Hyde Park road and wants to get to the Nassau Coliseum by way of Hempstead Turnpike. RECALL NOTES 1) Which way will she have to turn and what type of angle will she have made? 2) Before she makes the turn onto Hempstead Turnpike, she has to be traveling straight down NHP Road. What type of angle does the Road form? 3) What do you call two lines that intersect and form four right angles? 4) Draw two perpendicular lines with a ruler or protractor and label them. 5) With your protractor draw two lines that intersect at an angle of 30o. Label the lines AB and CD. Label the point of intersection E. mL AEC = 30o. Find mL CEB, mL BED. 6) Which angles are equal to each other? What do we call these angles and why? 7) Which angles are next to each other? What type of angles are they called? NOTES RECALL 8) What do you call two lines that never intersect? 9) Draw two parallel lines with a ruler or protractor and label them. 10) What is a tranversal? NOTES: When two lines are cut by a transversal, eight angles are formed, 4 interior angles and 4 exterior angles. Define: 1) interior angles: a 1 2 4 3 2) exterior angles: b 5 6 8 7 If a || b, mL 1 = 140, find all other angles. Drill: 1) In the figure, p || q and m<1 = 85º. Find: l 81 72 6 3 5 4 a) m<3 b) m<7 c) m<1 e) m<2 f) m<6 g) m<4 d) m<8 p h) m<5 q Summary: If time: 3) h r k 4 3 5 2 6 1 7 8 In the figure at the left, h || k and m<2 = 50º. Find all missing angles. s Refer to the figure at the left. r || s 4) Find m<5 if m<7 = 95º 12 56 3 4 7 8 t 5) Find m<7 if m<4 = 110º