Transversal- a line that intersects two parallel lines.

Slides:



Advertisements
Similar presentations
Angles and Parallel Lines
Advertisements

Chapter 12 and Chapter 3 Geometry Terms.
Angles and Parallel Lines
Investigating Angle Pairs Vocabulary Transversal: a line intersecting two or more lines at different points Corresponding Angles: angles that appear to.
E.Q. What angle pairs are formed by a transversal?
Bell Work: Marsha swam 400 meters in 6 minutes and 12 seconds. Convert that time to minutes.
PARALLEL LINES and TRANSVERSALS.
1 Angles and Parallel Lines. 2 Transversal Definition: A line that intersects two or more lines in a plane at different points is called a transversal.
Angle Relationships Common Necessary Vocabulary for Parallel and Intersecting Lines.
Transversal and Parallel Lines
Unit 1 Angles and Parallel Lines. Transversal Definition: A line that intersects two or more lines in a plane at different points is called a transversal.
Types of Angles.
LINES CUT BY A TRANSVERSAL
Warm Up 1.) Name a line that contains C. 2.) Name a ray with endpoint B that contains A. 3.) Name an angle with vertex B that contains C. 4.) Name a segment.
Parallel Lines with a Transversal …forming angles of fun!
Parallel Lines Cut by a Transversal, Day 2. Warm Up Find the measures of angles 1, 2, and 3, if m
Parallel Lines Properties of Angles Formed by Parallel Lines and a Transversal.
VOCABULARY UNIT 3. PARALLEL LINES Lines on the same plane that never intersect.
IDENTIFY PAIRS OF LINES AND ANGLES SECTION
Triangles and Lines – Angles and Lines When two lines intersect they create angles. Some special relationships occur when the lines have properties such.
Angles and Parallel Lines
Geometry Section 3.1 Transversals & Related Angles.
Lines that are coplanar and do not intersect. Parallel Lines.
PARALLEL LINES & TRANSVERSALS Parallel Lines - lines in the same plane that will never intersect.
Geometry. Definitions Geometry Definitions 1.straight angle - 180º.
2.4 Angle Postulates and Theorems
Parallel Lines Cut by Transversal Created by Mrs. Bentley.
3.2- Angles formed by parallel lines and transversals
PROPERTIES OF PARALLEL LINES POSTULATE
Proving Lines are Parallel
Warm Up Word Bank Vertical Angles Congruent Angles Linear Pair Parallel Lines Skew Lines – Lines that do not intersect and are not coplanar.
Prove Lines are Parallel
Parallel Lines and Transversals
Angles and Parallel Lines
Lesson 3.1 AIM: Properties of Parallel Lines
Alternate Interior Angles
Angles and Lines Final Review Part 1.
Parallel Lines and Angles
Angles and Parallel Lines
Transversal Definition: A line intersecting two or more other lines in a plane. Picture:
Parallel Lines Cut by a Transversal
Parallel Lines & Angle Relationships
Lesson 12.2 Angles and Parallel Lines
Warm Up Solve for x. x x + 1 = 90 4x + 2 = 90 4x = 88 x = 22.
Warm Up #3 9/14 Given m<1 = 7x-24 m<2 = 5x+14
Parallel Lines and a Transversal Line
Parallel Lines and a Transversal Line
3.1 Pairs of Lines and Angles
3.2- Angles formed by parallel lines and transversals
Warm Up Solve for x. x x + 1 = 90 4x + 2 = 90 4x = 88 x = 22.
Parallel Lines, Transversals, Base Angles & Exterior Angles
Parallel Lines Cut by a Transversal
Angles and Parallel Lines
Transversal: Parallel Lines and Transversals
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Properties of parallel Lines
Angles and Parallel Lines
Objectives: Identify parallel and perpendicular lines
Parallel Lines and Transversals
PARALLEL LINES CUT BY A TRANSVERSAL
Angle Relationships with Parallel Lines
Angles and Parallel Lines
Warmup! Use the figure at right to: 1. Name the set of parallel lines.
Parallel Lines Cut by a Transversal
Angles and Parallel Lines
Presentation transcript:

Transversal- a line that intersects two parallel lines

Corresponding angles- two parallel lines cut by a transversal form corresponding angles. Corresponding angles are congruent (equal) and in the same position as each other Write the pairs of corresponding angles:

Alternate Interior angles- two parallel lines cut by a transversal also form alternate interior angles. Alternate interior angles are congruent (equal), on opposite sides of the transversal and between the parallel lines. Write the pairs of alternative interior angles:

Alternate Exterior angles- Alternate exterior angles are congruent (equal), on opposite sides of the transversal and on the outside of the parallel lines Write the pairs of alternative exterior angles:

Name four pairs of corresponding angles. Name two pairs of alternate interior angles. Name two pairs of alternate exterior angles.

Find the measurement of each angle. 1.) m 1 = _____ 3.) m 3 = _____ 4.) m 4 = _____ 2.) m 2 = _____ 1

Write an equation to find the measure of each angle. (5x + 2) (10x - 2) a b c d x = ____ m<a = ____ m<b = ____ m<c = ____ m<d = ____

Demonstrate Understanding Find the angle measure that is not given. 1.) ________ 2.) ______ 3.) ______ 4.) ______ 5.) ______ 6.) ______ 7.) ______

8.) x = ____ m<a = ____ m<b = ____ m<c = ____ m<d = ____ a b c d

9.) ________ 10.) ______ 11.) ______ 12.) ______ 13.) ______ 14.) ______ 15.) ______