Warm-upwith 2.6 Notes Answer each of the questions. Draw a picture to support your answer. • What type(s) of triangles have more than one line of symmetry? 2) If D is the midpoint of and C is the midpoint of , What is the length of if BD = 12 cm? 3) How many squares (any size) are then in a 4 x 4 grid? Hint: There are more than 16?
2.6 Special Angles on Parallel Lines Investigation: Use the ruler to draw two lines that are not parallel. Then draw a line that intersects them both (a transversal). Measure all the angles and write down the angle measures. Do you see any relationships?
2.6 Special Angles and Parallel Lines continued… • Now draw a pair of parallel lines. Use the top and bottom of your ruler. Then draw a transversal. Notice any special angle relationships.
2.6 Conjectures C-3aCorresponding Angle Conjecture or CA Conjecture If two parallel lines are cut by a transversal, then corresponding angles are _________. C-3b Alternate Interior Angle Conjecture of AIA Conjecture If two parallel lines are cut by a transversal, then alternate Interior angles are ________. C-3cAlternate Exterior Angle Conjecture or AEA Conjecture If two parallel lines are cut by a transversal, then alternate exterior angles are _________.
2.6 Conjectures continued… C-3 Parallel Lines Conjecture If two parallel lines are cut by a transversal, then the corresponding angles are _______, the alternate interior angles are _____ , and the alternate exterior angles are _______ . C-4 Converse of the Parallel Lines Conjecture If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles and congruent alternate exterior angles, the lines are ___________ .
Directions for Quiz • Work silently on your quiz. • When you are finished flip your quiz over in front of you and work on the homework. • The homework is pg 131 to 133 #1 – 10 and then #14 – 16 all the problems. • Notebook check starts next class. You need to have all 8 conjectures (which include the slope formula) and all 8 notes with warm-ups starting with Ch. 1 Review and ending with Algebra Review #2. 10 pts/notes(including warm-up) = 80pts 2pts/conjecture 2x 8 = 16 pts