Miss C's Two-Week Forecast
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1 Miss C's Two-Week Forecast Monday Tuesday Wednesday Thursday Friday Lesson 12: (Vocab Intro) Lesson 12 (Theorems) Break Break Break Break Break Lesson 11 (Algebra Review) Constructions Next Week... Monday Tuesday Wednesday Thursday Friday Unit 4 PreAssess Unit 3 Review Lesson 12 Unit 3 Post & (Proofs) Self Evaluation Unit 3 TEST Break Break Break Break Break Unit 3 Review Miss C will not be here this Wed..
2 Fischer's Little Piece of Random What is the longest word in the dictionary?
3 Fischer's Little Piece of Random Smiles, because there is a mile between each s. JK the largest word is pneumonoultramicroscopicsilicovolcanoconiosis.
4 Homework 1. Lesson 12 PRACTICE (circled problems only) 2. Study Angle Foldable
5 Lesson 12 Parallel Lines
6 Lesson 12 Parallel Lines LearningTarget C: Identify the angles formed when two lines are cut by a transversal and know their relationship. LearningTarget D: Use properties of parallel lines to find angle measures.
7 Parallel lines: coplanar lines that do not intersect NOTATION: m n m n Segments and rays can be parallel too
8 Note: Arrows indicate parallel lines.
9 Skew lines - noncoplanar lines. (neither parallel nor intersecting)
10 Parallel planes - planes that do not intersect. Plane X Plane Y
11 transversal - a line that intersects two or more coplanar lines in different points. TRANSVERSAL
12 General Vocab Practice...
13 Classify each statement as true or false. 1. A transversal intersects only parallel lines. FALSE 2. Skew lines are not coplanar. TRUE 3. If two lines are coplanar, then they are parallel. FALSE 4. If two lines are parallel, then exactly one plane contains them. TRUE
14 Lines j, k, and m are coplanar. Which line is the transversal? If j,k, and m are coplanar, name the transversal(s) Line m 6. All these lines are transversals 7. none (need two different points of intersection)
15 Is the green line a transversal? No because the red and blue lines are not coplanar
16 Angle Relationships...
17 INTERIOR VS. EXTERIOR Exterior Interior Exterior
18 SAME SIDE INTERIOR Angles *If two parallel lines are cut by a transversal, Then same side interior angles are supplementary. *If two lines are cut by a transversal and Same side interior angles are supplementary, then the lines are parallel.
19 SAME SIDE INTERIOR Angles Exterior Interior Exterior
20 ALTERNATE INTERIOR Angles *If two parallel lines are cut by a transversal, Then alternate interior angles are congruent. *If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel.
21 ALTERNATE INTERIOR Angles Exterior Interior Exterior
22 SAME SIDE EXTERIOR Angles *If two parallel lines are cut by a transversal, Then same side exterior angles are supplementary. *If two lines are cut by a transversal and Same side exterior angles are supplementary, then the lines are parallel.
23 SAME SIDE EXTERIOR Angles Exterior Interior Exterior
24 ALTERNATE EXTERIOR Angles *If two parallel lines are cut by a transversal, alternate exterior angles are congruent. *If two lines are cut by a transversal and alternate exterior angles are congruent, then the lines are parallel
25 ALTERNATE EXTERIOR Angles Exterior Interior Exterior
26 CORRESPONDING Angles *If two parallel lines are cut by a transversal, Then corresponding angles are congruent. *If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel
27 CORRESPONDING Angles Exterior Interior Exterior
28
29 lesson 12 Intro February 11, 2015 Angle Relationships Practice Can you name some of the angle relationships in this town? Example: the hospital and post office are positioned at same side interior angles
30 The East National Gallery of Art is alternate exterior to the Air and Space Museum.
31 V V V V V V
32 A C B D E F G H I K J L
33 Name the two lines and the transversal that form each pair of angles. BEH and EHK transversal: line EH lines: line BE and line HK CBA and DEB transversal: line AB lines: line CB and line DE A C B D E F G H I K J L
34 Finding Angle Measures...
35 Find the measures of angles V º V
36 1) What vocabulary term describes the angle pair? 2) What is their relationship? 3) Solve for x. alternate interior angles congruent 4) Find the measure of each angle. substitute!
37 1) What vocabulary term describes the angle pair? 2) What is their relationship? 3) Solve for x. same side interior angles supplementary 4) Find the measure of each angle. substitute!
38 3x-20 10x+5 1) What vocabulary term describes the angle pair? multiple answers 2) What is their relationship? multiple answers 3) Solve for x. 4) Find the measure of each angle. substitute!
39 Parallel Lines Applications...
40 JUSTIFY V V V If a b, then 2 6. If two parallel lines are cut by a transversal, corresponding angles are congruent.
41 JUSTIFY V V V If a b, then 4 6. If two parallel lines are cut by a transversal, alternate interior angles are congruent.
42 JUSTIFY V V V If a b, then 4 is supplementary to 5. If two parallel lines are cut by a transversal, same side interior angles are supplementary.
43 Use the parallel lines to find the transversal. Use same side interior angles to solve for y.
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