Parallel Lines, Transversals, Base Angles & Exterior Angles

Slides:



Advertisements
Similar presentations
Angles and Parallel Lines
Advertisements

Unit 1 Angles formed by parallel lines. Standards MCC8G1-5.
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.
Transversal- a line that intersects two parallel lines.
PARALLEL LINES and TRANSVERSALS.
Are the following triangles congruent? If yes, state the triangle congruence postulate, and identify the congruent triangles. Bell Ringer.
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.
& Problem Solving.  You will be able to use the converse of a theorem to construct parallel lines.  You will be able to use theorems to find the measures.
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.
Triangle Sum Theorem & Exterior Angle Theorem
LINES CUT BY A TRANSVERSAL
Lesson 2-5: Proving Lines Parallel 1 Lesson Proving Lines Parallel.
VOCABULARY UNIT 3. PARALLEL LINES Lines on the same plane that never intersect.
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
PARALLEL LINES & TRANSVERSALS Parallel Lines - lines in the same plane that will never intersect.
Parallel Lines & Transversals. Transversal A line, ray, or segment that intersects 2 or more COPLANAR lines, rays, or segments.
Parallel Lines Cut by Transversal Created by Mrs. Bentley.
Exterior Angle Theorem Parallel Lines Cut by a Transversal
Corresponding Angles Postulate If a transversal intersects 2 || lines, then corresponding s are .
Angles and Parallel Lines
PROPERTIES OF PARALLEL LINES POSTULATE
Parallel Lines & Transversals
Proving Lines are Parallel
Properties of Parallel Lines
Parallel Lines and Transversals
Angles and Parallel Lines
Lesson 3.1 AIM: Properties of Parallel Lines
Angle Relationships & Parallel Lines
Proving Lines Parallel
Alternate Interior Angles
Angles and Lines Final Review Part 1.
Parallel Lines and Angles
Angles and Parallel Lines
Angle Relationships.
Angle Relationships.
Transversal Definition: A line intersecting two or more other lines in a plane. Picture:
3.5 Properties of Parallel Lines
Warm-up Find x a) b).
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
Inside angles theorem.
Parallel Lines and a Transversal Line
Parallel Lines and a Transversal Line
5-1 Lines & Angles To identify relationships between figures in space
Angles and Parallel Lines
Warm Up Solve for x. x x + 1 = 90 4x + 2 = 90 4x = 88 x = 22.
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
5-1 Lines & Angles To identify relationships between figures in space
Base Angles & Exterior Angles
Angles and Parallel Lines
Properties of parallel Lines
Angles and Parallel Lines
Parallel Lines and Transversals
Warm-up: Quiz your neighbor with your flash cards!!
Isosceles Triangles. Isosceles Triangles Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.
Converse Definition The statement obtained by reversing the hypothesis and conclusion of a conditional.
Angles and Parallel Lines
Angle Relationships with Parallel Lines
Angles and Parallel Lines
Vertical Angles, Linear Pairs, Exterior Angles
Unit 2: Properties of Angles and Triangles
Angles and Parallel Lines
Presentation transcript:

Parallel Lines, Transversals, Base Angles & Exterior Angles

Parallel Lines & Transversals

Alternate Interior Angles Opposite sides of the transversal & inside the parallels Are congruent Equation: angle = angle

Consecutive Interior Angles Same side of the transversal & inside the parallels Are supplementary Equation: angle + angle = 180

Alternate Exterior Angles Opposite sides of the transversal & outside the parallels Are congruent Equation: angle = angle

Corresponding Angles Same location but at different intersections (only travel on the transversal) Are congruent Equation: angle = angle

Isosceles Triangles

Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.

Solve for x. 2x + 25 = 7 2x = -18 12 x = -9

Base Angles If 2 sides in a triangle are congruent, then the angles opposite them are congruent.

Solve for x. 6x + 1 = 55 6x = 54 3 x = 9

Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.

Solve for x. 3x - 10 = x + 15 + 25 2x = 50 x = 25

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.