5-2 Parallel and Perpendicular Lines Warm Up Problem of the Day

Slides:



Advertisements
Similar presentations
5-2 Parallel and Perpendicular Lines Warm Up Problem of the Day
Advertisements

Lines, Segments, and Rays. Line  A line is perfectly straight and extends forever in both directions. Any two points on the line can be used to name.
Warm Up #2 (3/12/09) Complete each sentence. 1. Angles whose measures have a sum of 90° are _______________. 2. Vertical angles have equal measures, so.
Parallel Lines & Transversals
What’s Your Angle? By Kim Davis. Background Vocabulary Plane: an infinite, flat surface. Parallel lines: lines in a plane that never meet. l l is the.
7-2 Parallel and Perpendicular Lines Warm Up Problem of the Day
Pre-Algebra 5.2 Parallel and Perpendicular Lines.
Pre-Algebra 5-2 Parallel and Perpendicular Lines 5-2 Parallel and Perpendicular Lines Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day.
Insert Lesson Title Here
Angle Relationships.
Pre-Algebra Homework Page 248 #1-9. NEW! Student Learning Goal Chart Lesson Reflection for Chapter 5.
Section 2.7 PROVE ANGLE PAIR RELATIONSHIPS. In this section… We will continue to look at 2 column proofs The proofs will refer to relationships with angles.
Math I CAN find the measure of angles. I CAN construct angles.
At the end of this lesson you will be able to: Determine the names of angles based on their degree of measurement. Determine the names and properties of.
5-2 Parallel and Perpendicular Lines Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.
This line is called a transversal.
Line and Angle Relationships
Line and Angle Relationships Sec 6.1 GOALS: To learn vocabulary To identify angles and relationships of angles formed by tow parallel lines cut by a transversal.
Vocabulary Review & Special Angles Created When Parallel Lines are Cut by a Transversal with Ms. Evans & Ms. Straka Parallel Lines Cut by a Transversal.
Preview Warm Up California Standards Lesson Presentation.
Ch. 10 Geometry: Line and Angle Relationships
7-3 Angle Relationships Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
Geometry Vocabulary Point an exact location in space Line A straight path that goes on forever in both directions A and B are any 2 points on the line.
Opener Use the diagram to answer the questions.
7-2 Parallel and Perpendicular Lines Warm Up Complete each sentence. 1. Angles whose measures have a sum of 90° are _______________. 2. Vertical angles.
9-2 Parallel and Perpendicular Lines Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.
VII-I Apply Properties of Angles & Relationships Between Angles 1 Standard VII:The student will be able to solve problems involving a variety of algebraic.
Course 3 Points, Lines, Planes, and Angles The measures of angles that fit together to form a straight line, such as FKG, GKH, and HKJ, add to 180°.
Complete each sentence. 1. Angles whose measures have a sum of 90° are _______________. 2. Vertical angles have equal measures, so they are ______________.
What’s Your Angle? An Introduction to Angle Pair Relationships.
7-2 Angles and Parallel Lines. Video Tutor Help Word problem: find the missing angle Relating angles and parallel linesRelating angles and parallel lines.
Angle Relationships & Parallel Lines Mrs. Wedgwood.
Angle Relationships. Adjacent Angles 1.Are “next to” each other 2.Share a common side C D are adjacent K J are not adjacent - they do not share a side.
Bell Ringer: Quiz Review 1.) Define a.) Collineard.) Obtuse b.) Coplanare.) Right c.) Acute Solve for x 2.) 3.) A B C 2x AC = 8X + 4 A B C D 3x +
What’s Your Angle?.
5-2 Parallel and Perpendicular Lines Warm Up Problem of the Day
8-3 Angle Relationships Warm Up
What’s Your Angle?.
8-3 Angle Relationships Warm Up Problem of the Day Lesson Presentation
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Angle Relationships & Parallel Lines
7-2 Parallel and Perpendicular Lines Warm Up Problem of the Day
Vocabulary Review & Special Angles Created When Parallel Lines are Cut by a Transversal with Ms. Evans & Ms. Straka  Parallel Lines Cut by a Transversal.
Do Now Write homework in your agenda
Warm Up What do you recall about the following terms? Congruent
Angle Relationships.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Parallel Lines & Transversals
Angle Relationships Teacher Twins©2014.
Parallel lines and Triangles Intro Vocabulary
8-3 Angle Relationships Warm Up Problem of the Day Lesson Presentation
Angle Pairs Module A1-Lesson 4
Day 19 – Vertical and interior angles
Insert Lesson Title Here
7-2 Parallel and Perpendicular Lines Warm Up Problem of the Day
3.1 Parallel Lines and Transversals
Opener Use the diagram to answer the questions.
Chapter 2 : Angles Vocabulary Terms.
3.1 Parallel lines and transversals
1.6 Describing Pairs of Angles
Parallel Lines & Transversals
Warm Up Find the complement of each angle measure ° ° 60° 48°
5-3 Triangles Warm Up Problem of the Day Lesson Presentation
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
7-2 Parallel and Perpendicular Lines Warm Up Problem of the Day
Angle Relationships Teacher Twins©2014.
Parallel Lines & Transversals
Angles.
5-2 Parallel and Perpendicular Lines Warm Up Problem of the Day
Presentation transcript:

5-2 Parallel and Perpendicular Lines Warm Up Problem of the Day Lesson Presentation Pre-Algebra

5-2 Parallel and Perpendicular Lines Warm Up Complete each sentence. Pre-Algebra 5-2 Parallel and Perpendicular Lines Warm Up Complete each sentence. 1. Angles whose measures have a sum of 90° are _______________ . 2. Vertical angles have equal measures, so they are ______________. 3. Angles whose measures have a sum of 180° are ______________. 4. A part of a line between two points is called a ____________. complementary congruent supplementary segment

I will be able to identify parallel and perpendicular lines and the angles formed by a transversal and solve real-world problems .

Vocabulary parallel lines perpendicular lines transversal

Parallel lines are two lines in a plane that never meet, like a set of perfectly straight, infinite train tracks. Perpendicular lines are lines that intersect to form 90° angles.

The railroad ties are transversals to the tracks. The tracks are parallel. A transversal is a line that intersects any two or more other lines. Transversals to parallel lines have interesting properties.

PROPERTIES OF TRANSVERSALS TO PARALLEL LINES If two parallel lines are intersected by a transversal, the acute angles that are formed are all congruent, the obtuse angles are all congruent, and any acute angle is supplementary to any obtuse angle. If the transversal is perpendicular to the parallel lines, all of the angles formed are congruent 90° angles.

Additional Example 1: Identifying Congruent Angles Formed by a Transversal Measure the angles formed by the transversal and parallel lines. Which angles seem to be congruent? 1,  3,  5, and  7 all measure 150°.  2,  4,  6, and  8 all measure 30°.

If two lines are intersected by a transversal and any of the angle pairs shown below are congruent, then the lines are parallel. This fact is used in the construction of parallel lines.

Additional Example 1 Continued Angles marked in blue appear to be congruent to each other, and angles marked in red appear to be congruent to each other. 1 1 @  3 @  5 @  7 2 3 4 2 @  4 @  6 @  8 6 5 7 8

Try This 1: Example 1 Measure the angles formed by the transversal and parallel lines. Which angles seem to be congruent? 1 2 3 4 5 6 7 8 1,  4,  5, and  8 all measure 36°.  2,  3,  6, and  7 all measure 144°.

Try This 1: Example 1 Continued Angles marked in blue appear to be congruent to each other, and angles marked in red appear to be congruent to each other. 1 @  4 @  5 @  8 2 @  3 @  6 @  7 1 2 3 4 5 6 7 8

The symbol for parallel is ||. The symbol for perpendicular is . Writing Math

Lesson Quiz In the figure a || b. 1. Name the angles congruent to 3. 1, 5, 7 2. Name all the angles supplementary to 6. 1, 3, 5, 7 3. If m1 = 105° what is m3? 105° 4. If m5 = 120° what is m2? 60°