# 3-2 properties of parallel lines form g answers teachers guide

## 3.5 Using Properties of Parallel Lines Angles and Parallel Lines Georgetown High School. Study Guide and Intervention Angles and Parallel Lines Parallel Lines and Angle Pairs When two parallel lines are cut by a transversal, the following pairs of angles are congruent. corresponding angles alternate interior angles alternate exterior angles Also, consecutive interior angles are supplementary. Example; In-the figure, nzL2 = 75., Using Properties of Parallel Lines Goalsc Use properties of parallel lines in real-life situations. Construct parallel lines using a straightedge and a compass. THEOREM 3.11 If two lines are parallel to the same line, then they are THEOREM 3.12 to each other. If p Il q and q Il r, then p Il r. In a plane, if two lines are perpendicular to the same line, then they are to each other..

### 3-2 Properties of Parallel lines Riverside High School

Lines and Angles WordPress.com. 158 Chapter 3 Perpendicular and Parallel Lines Explaining Why Steps are Parallel In the diagram at the right, each step is parallel to the step immediately below it and the bottom step is parallel to the floor. Explain why the top step is parallel to the floor. SOLUTION You are given that k 1∞ k 2 and k 2∞ k 3. By transitivity of parallel lines, k 1∞ k 3., Holt McDougal Geometry. 3-3 Proving Lines Parallel. Use the Converse of the Corresponding Angles Postulate and the given information to show that ℓ|| m. Example 1B: Using the Converse of the Corresponding Angles Postulate m3 = (4x –80)°, m7 = (3x –50)°, x = 30. m3 = 4(30) –80 = 40 Substitute 30 for x..

Slopes of Parallel Lines. In a coordinate plane, 2 nonvertical lines are parallel iff they have the same slope. And, any 2 vertical lines are parallel. Slopes of Perpendicular Lines. In a coordinate plane, 2 nonvertical lines are perpendicular iff the products of their slopes is … Possible answer: If the lines are dragged farther apart or closer together, there is no change in the ∠ measures. Since the lines remain , the amount of “tilt” of the line remains the same, so the ∠ measures remain the same. 3-2 ANGLES FORMED BY PARALLEL LINES AND TRANSVERSALS, PAGES 155–161 CHECK IT OUT! PAGES 155–157 1. x = 118

Worksheet – Section 3-2 Angles and Parallel Lines. Objectives: • Understand the . parallel lines cut by a transversal theorem. and . it’s converse • Find . angle measures. using the Theorem • Use . algebra to find unknown variable. and angle measures involve . parallel lines and transversals • Use . Auxiliary lines… Properties of Parallel Lines (3-2) (Continued from Monday) Take 4 Postulate/Theorem Cards Create a card for each of the 4 Thorems/Postulates that are on the slides that follow. Ask teacher for clear tape. Create an accordion foldable 3. Fold it like an accordion. See below for proper folding.

### Geometry Home Slopes of Parallel and Perpendicular Lines. This Practice 3-1: Properties of Parallel Lines Worksheet is suitable for 8th - 10th Grade. For this properties of parallel lines worksheet, students identify alternate interior angles, interior angles, and corresponding angles. They determine the measurement of angles using specified information., Given: a b Prove: £7 13. Use the reasons at the righttowrite each step of the proof. Statements Reasons I) Given 2) If lines are , then conesp. angles are 3) Congruent angles have equal measure. 4) Vertical angles are convuent. 5) Congruent angles have equal 6) Transitive Properÿ of 7) Angles with equal measure are ..

3.1, 3.2, 3.5.notebook 5 September 23, 2013 Sep 29­9:34 AM If 2 lines are parallel to the same line, then they are parallel to each other. In a plane, if 2 lines are perpendicular to the same line, then they are parallel. Sep 29­9:35 AM Homework: p. 176 #30­36 p. 183 #12­18 p. 211 # 8­14 Exit slip problem: Textbook answers Questions Review. x. Go. 1. Introduction to Geometry Parallel and Perpendicular Lines 3.1 Lines and Angles 3.2 Properties of Parralel Lines 3.3 Proving Lines Parallel 3.4 Parralel and Perpedicular Lines 3.5 Constructions with Parallel and Perpendicular Lines 3.6 Equations of Lines 3.7 Slopes of Lines 4. Congruent Triangles

Textbook answers Questions Review. x. Go. 1. Introduction to Geometry Parallel and Perpendicular Lines 3.1 Lines and Angles 3.2 Properties of Parralel Lines 3.3 Proving Lines Parallel 3.4 Parralel and Perpedicular Lines 3.5 Constructions with Parallel and Perpendicular Lines 3.6 Equations of Lines 3.7 Slopes of Lines 4. Congruent Triangles Study Guide and Intervention Angles and Parallel Lines Parallel Lines and Angle Pairs When two parallel lines are cut by a transversal, the following pairs of angles are congruent. corresponding angles alternate interior angles alternate exterior angles Also, consecutive interior angles are supplementary. Example; In-the figure, nzL2 = 75.

Browse the Khan Academy math skills by Common Core standard. With over 50,000 unique questions, we provide complete coverage. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education Solutions Key 3 Parallel and Perpendicular Lines CHAPTER ARE YOU READY? PAGE 143 1. F 2. D 3. B 4. E 5. A 6. The lines are skew. 42. m n 43. Possible answer: In a room, the intersection of the 3-2 ANGLES FORMED BY PARALLEL LINES AND TRANSVERSALS,

### www.currituck.k12.nc.us Slopes of Parallel and Perpendicular Lines. Two lines with di!erent slopes are perpendicular. 14. "e slopes of vertical lines and horizontal lines are opposite reciprocals. 15. A vertical line is perpendicular to the x-axis. Practice Form G Slopes of Parallel and Perpendicular Lines y! 3x " 7 y!" 1 4 x # 4 y! 3 2 x " 20 y! 2x # 7 y! 4 parallel; same slope perpendicular; one is horizontal 3.1 Identify Pairs of Lines and Angles. 3.2 Use Parallel Lines and Transversals. 3.3 Prove Lines are Parallel. 3.4 Find and Use Slopes of Lines. 3.5 Write and Graph Equations of Lines. The student will use the relationships between angles formed by two lines cut by a transversal to. a) determine whether two lines are parallel;. • 3.1 and 3.2 Properties of Parallel Lines