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Transcript

Name_______________________________ 2-2 Ticket In Geometry Period_____ Date______ Ticket In the Door! After watching the assigned video and remembering how to copy an angle, you will perform this construction below to demonstrate your mastery of this skill. Use your compass to copy the measure of angle DEF onto segment GH. D E F οΌ Self-Assess! I feel confident that I can copy an angle and I am ready to move on. Check Here: I would feel more comfortable practicing this skill first and then move on to other types of practice problems! Check Here: Name_______________________________ Geometry Period_____ 3-11 Notes Date______ Lesson 3-11: Constructing a Parallel Line (through a point P) Learning goal: How do I construct a line parallel to a given line through a specific point? How do I justify the construction of parallel lines? Letβs Discover A New Construction! Fact Check Before we Construct! State a pair of corresponding angles that you see below: If we know that these angles are congruent, what can we conclude about lines S and T? Parallel Line Angle Theorem If corresponding angles are congruent, then line m and line n are _________________. Letβs Predict! After looking at the model, how might we be able to use our knowledge of copying an angle to construct parallel lines? Constructing a Parallel Line Watch Me! Using a compass and a straightedge, construct a line (through point P) that is parallel to line AB. You Try! Name__________________________________ Geometry Period______ 1) Which geometric principle is used to justify the construction below? a) A line perpendicular to one of two parallel lines is perpendicular to the other. b) Two lines are perpendicular if they intersect to form congruent adjacent angles. c) When two lines are intersected by a transversal and alternate interior angles are congruent, the lines are parallel. d) When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel. 2) Based on the diagram below determine which lines are parallel, be sure to explain why. 3-11 Practice Date______ 3) In the figure to the right, π¨π© || π«π¬ and π©πͺ || π¬π. Thoroughly justify why π = π. (Hint: Extend π©πͺ and π¬π«.) B E