Geometry 3-3 Proving Lines Parallel

Slides:

Advertisements

Similar presentations

3.3 Proving Lines Parallel

Advertisements

SquareRectangleTrapezoidRhombusParallelogram. SquareRectangleTrapezoidRhombusParallelogram Quadrilateral At least 1 pair of parallel sides 4 congruent.

Geometry Section 3.6 Prove Theorems About Perpendicular Lines.

3.3 Parallel and Perpendicular Lines To Relate Parallel and Perpendicular Lines.

Quadrilaterals Project

Proving that a quadrilateral is a Parallelogram Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra Geometry (2007)

Rectangle Proofs A rectangle is a parallelogram with four right angles and congruent diagonals.

Ways to Prove that Quadrilaterals are Parallelograms

INTERIOR ANGLES THEOREM FOR QUADRILATERALS By: Katerina Palacios 10-1 T2 Geometry.

Proof Geometry.  All quadrilaterals have four sides.  They also have four angles.  The sum of the four angles totals 360°.  These properties are.

This line is called a transversal.

Proof Quiz Review 13 Questions…Pay Attention. A postulate is this.

6.3 TESTS FOR PARALLELOGRAMS. If… Both pairs of opposite sides are parallel Both pairs of opposite sides are congruent Both pairs of opposite angles are.

Shapes and Their Attributes

Geometry: Chapter 3 Ch. 3.3: Use Parallel Lines and Transversals.

Warm-Up x + 2 3x - 6 What is the value of x?. Geometry 3-3 Proving Lines Parallel.

PROVING LINES PARALLEL. CONVERSE OF  … Corresponding Angles Postulate: If the pairs of corresponding angles are congruent, then the lines are parallel.

Ways of proving a quadrilaterals are parallelograms Section 5-2.

 Lesson 5: Proving Lines Parallel.  Corresponding angles are congruent,  Alternate exterior angles are congruent,  Consecutive interior angles are.

3.3 Proving Lines Parallel Converse of the Corresponding Angles Postulate –If two lines and a transversal form corresponding angles that are congruent,

Lesson 2-5: Proving Lines Parallel 1 Lesson Proving Lines Parallel.

Prove Lines are Parallel

Warm Up Week 1 1) If ∠ 1 and ∠ 2 are vertical angles, then ∠ 1 ≅ ∠ 2. State the postulate or theorem: 2) If ∠ 1 ≅ ∠ 2 and ∠ 2 ≅ ∠ 3, then ∠ 1.

1 2 Parallel lines Corresponding angles postulate: If 2 parallel lines are cut by a transversal, then corresponding angles are congruent….(ie.

3-3: Parallel Lines & Angles Unit 3: Geometry English Casbarro.

Ways to Prove that Quadrilaterals are Parallelograms Keystone Geometry.

StatementsReasons 1. ________________________________ 2.  1   2 3. ________________________________ 4. ________________________________ 1. ______________________________.

Parallelograms Properties & Attributes. Parallelograms …are quadrilaterals in which both pairs of opposite sides are parallel If a quadrilateral is a.

 Alternate interior angles  congruent  Same side interior angles  supplementary.

Interior and exterior angles. Exterior and interior angles are supplementary.

L.E.Q. How do you prove 2 triangles are congruent using the SSS and SAS postulates?

House Fire House. Can you find one or more acute angles? An acute angle is an angle with a measure of less than 90 degrees.

Warm-Up ABCD is a parallelogram. AB = 12 and BC = 25

Prove triangles congruent by ASA and AAS

Geometry Notes Sections .

Use Properties of Parallelograms

Proving Lines are Parallel

Proving Lines are Parallel

Prove Lines are Parallel

Geometry Symbols The angle with vertex B and having points A

Advanced Geometry Parallel and Perpendicular Lines Lesson 3

Proving Lines Parallel

Proving Lines Parallel

Proving Lines Parallel

Course 3 Parallel Lines In the figure, line n || line m. Find the measure of the angle . 7 All obtuse angles in the figure are congruent m7 = 144°

Lesson 14.1: Angles Formed by Intersecting Lines

Parallelograms.

Ways to Prove Quadrilaterals are Parallelograms

Similarity, Congruence, & Proofs

2 sets of congruent sides

Use Properties of Parallelograms

Angles and Parallel Lines

Congruent, Supplementary, and Complementary

Proving Lines Parallel

Proving Lines Parallel

Proving Lines Parallel

3-3 Parallel Lines & the Triangle Angle Sum Theorem

1. Which angle is equal to 1100? 1100 corresponding.

Lesson 3.6 Prove Theorems about Perpendicular Lines.

Lesson: 6.2 Tests for Parallelograms Pages: 298 – 300 Objectives:

Properties of Parallelograms

6.3 Proving Quadrilaterals and Parallelograms

3-2 Proving Lines Parallel

Polygon Constructions

Proving Lines Parallel

8.3 Methods of Proving Triangles are Similar Advanced Geometry 8.3 Methods of Proving    Triangles are Similar Learner Objective: I will use several.

4-2 Triangle congruence by sss & sas

Practice Geometry Practice

Proving that a quadrilateral is a Parallelogram

Presentation transcript:

Geometry 3-3 Proving Lines Parallel Use two different colors to mark all of the congruent angles. These angles are only congruent because the lines are parallel

Determine if r || s. m2 = (10x + 8)°, m3 = (24x – 3)°, x = 5 m2 = 10(5) + 8 = 58° m3 = 24(5) – 3 = 117° 58° + 117° = 175° 2 + 3 should equal 180, so r is not parallel to s

Determine if r || s. m8 = (3x + 10)°, m4 = (4x – 2)°, x = 12 m8 = 3(12) + 10 = 46° m4 = 4(12) – 2 = 46° 8 + 4 should be equal, so r || s (r is parallel to s)

What value of x makes a || b? 140° 140 + 16x + 8 = 180 16x + 148= 180 -148 -148 16x = 32 x = 2 (16x + 8)°