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Same Side Exterior **Angles**: Two **angles** that lie outside parallel **lines** on the same sides of the transversal. Alternate Interior/Exterior **Angles** Alternate Interior **Angles**: Two **angles** that lie between parallel **lines** on opposite sides of the transversal (but not a linear pair).

3.1 **Lines** and **Angles** Mrs. Spitz Fall 2004 Standard/Objectives: Standard 3: Students will have a foundation in geometric concepts. Objectives: Identify relationships between **lines**.

KS3 Mathematics S1 **Lines** and **Angles** * Change the triangle by moving the vertex. Pressing the play button will divide the triangle into three pieces.

Geometry Point Line Line segment Ray Plane Parallel **lines** Intersecting **lines** **Angles** Geometry Point An exact location in space Line An endless collection of points along a straight path Line segment Part of a line that has two endpoints .A Geometry Ray Part of a line that has one endpoint and ...

Title: **Angles** and Parallel **Lines** Author: Jerel Welker Last modified by: Jerel Welker Created Date: 1/28/2006 9:18:21 PM Document presentation format

5th Grade Geometry **Lines** & **Angles** Lauri Hagie IDT 503 Final Project **Lines** **Lines** have arrows on each end. **Lines** do not end; they go on and on forever in both directions.

Parallels § 4.1 Parallel **Lines** and Planes § 4.2 Parallel **Lines** and Transversals § 4.3 Transversals and Corresponding **Angles** § 4.4 Proving **Lines** Parallel

3.1 **Lines** and **Angles** Day 1 Part 1 CA Standards 7.0, 16.0 Warmup Define the following terms. Line Perpendicular **lines** Parallel **lines** Skew **lines** Parallel Postulate If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.

Title: **Angles** and **Lines** Author: Joan Dollard Last modified by: Damien Created Date: 10/9/2010 3:56:17 PM Document presentation format: On-screen Show (4:3)

3.1 – **Lines** and **Angles** Vocabulary Parallel **Lines**: Two **lines** that are coplanar and do not intersect Skew **Lines**: **Lines** that do not intersect and are not coplanar Parallel Planes: Two planes that do not intersect Parallel and Perpendicular Line Postulates Parallel Line Postulate: If there is a ...

* 3-2: **Angles** and Parallel **Lines** * 3-2: **Angles** and Parallel **Lines** Expectation: G1.1.1 : Solve multistep problems and construct proofs involving vertical **angles**, linear pairs of **angles**, supplementary **angles**, complementary **angles**, and right **angles**.

Parallel **Lines** and Transversals Chapter 3-1 Lesson 3-1 Ideas/Vocabulary Identify the relationships between two **lines** or two planes. Parallel **Lines** // Two **lines** are // if they are coplanar and do not intersect.

Theorem 3.6 Alternate Exterior **Angles** If two parallel **lines** are cut by a transversal, then the pairs of alternate exterior **angles** are congruent. Theorem 3.7 Perpendicular Transversal If a transversal is perpendicular to one of the two parallel **lines**, ...

3.1 **Lines** and **Angles** Objectives/Assignment Identify relationships between **lines** Identify **angles** formed by transversals Assignment: 2-30 even, 48-62 even Goal 1: Relationships Between **Lines** Definitions: Parallel **lines** - Two **lines** are parallel **lines** if they are coplanar and do not intersect.

**LINES** AND **ANGLES** PARALLEL **LINES** Def: line that do not intersect. Illustration: Notation: l || m AB || CD PERPENDICULAR **LINES** Def: **Lines** that intersect to form a right angle. Illustration: Notation: m ...

Angle Facts Objectives: F Grade Express fractions of full turns in degrees and vice versa Recognise acute, obtuse, reflex and right **angles** Estimate **angles** and measure them accurately

Geometric Objects . Acute **angles**. Right **angles** . Obtuse **angles**. Congruent **angles**. Complementary **angles**. Parallel **lines**. Intersecting **lines** (not perpendicular)

Angle Relationships & Parallel **Lines** Pre-Algebra 10) **Lines** l and m are parallel. l||m Find the missing **angles**. 81° l m b° d° f° a ° c° e° g° 10) **Lines** l and m are parallel. l||m Find the missing **angles**. 81° l m 81° 81° 81° 99° 99° 99° 99° 11) Find the missing **angles**. 70 ° b° 70 ...

**Lines** that cross each other and form four **angles** What are intersecting **lines**? **Lines** that never intersect What are parallel **lines**? **Lines** that intersect to form four right **angles** What are perpendicular **lines**? Having the same size and shape What is congruent?

Geometry (**Lines**) SOL 4.14, 4.15, 4.16 **lines**, segments, rays, points, **angles**, intersecting, parallel, & perpendicular 4.14 The student will investigate and describe the relationships between and among points, **lines**, line segments, and rays.

3.3 Parallel **Lines** & Transversals Transversal A line, ray, or segment that intersects 2 or more COPLANAR **lines**, rays, or segments. Special Angle Relationships Interior **Angles** <3 & <6 are Alternate Interior **angles** <4 & <5 are Alternate Interior **angles** <3 & <5 are Same Side Interior **angles** <4 & <6 ...

Select Math Geometry Eileen Maguire August 6, 2004 **Angles**, Parallel **Lines** and Transversals Glencoe Geometry Chapter 3.1 Parallel **Lines** and Transversals Massachusetts Geometry Standard (8.G.4): Demonstrate an understanding of the relationships of **angles** formed by intersecting **lines**, including ...

Unit: Parallel & Perpendicular **Lines** Copy the following postulates and theorems from your textbook. (3.3) Corresponding **Angles** Postulate Alternate Interior **Angles** Theorem Same Side Interior **Angles** Theorem Alternate Exterior **Angles** Theorem **Lines** that DO NOT intersect: Parallel **Lines**: coplanar ...

1.4: **Lines** and Angle Relationships-parallel and perpendicular **lines** ( Transversals and angle names) GSE’s M(G&M)–10–9 Solves problems off the coordinate plane involving distance, midpoint, perpendicular and parallel **lines**, or slope

Geometry Day 18 Today’s Agenda Parallel **lines** and special **angles** Corresponding **angles** Alternate Interior **angles** Same Side Interior **angles** Using inductive and deductive reasoning to develop Geometric concepts.

3-1 **Lines** and **Angles** Parallel and Skew Parallel **lines** are coplanar **lines** that do not intersect. The symbol means “is parallel to”.

by Your Class Hosted by Your Class 100 100 200 200 400 400 300 400 Triangles Quadrilaterals **Angles** **Lines** 300 300 300 200 400 200 100 500 500 500 500 100 Row 1, Col 1 What is a scalene triangle ?

You know that parallel **lines** for alt. int. **angles** congruent, so what **angles** can be established from this theorem? You can label the one side of angle 1, 40 because alt. int. **angles** shows that this angle is congruent to 40.

Geometry 1 Unit 3: Perpendicular and Parallel **Lines** Geometry 1 Unit 3 3.1 **Lines** and **Angles** **Lines** and **Angles** Parallel **Lines** Parallel **lines** are **lines** that are coplanar and do not intersect.

3.1 **Lines** and **Angles** Mr. Davenport Fall 2009 Objectives: Objectives: Identify relationships between **lines**. Identify **angles** formed by transversals.

3.1 **Lines** and **Angles** Objective: Students will identify the relationships between 2 **lines** or 2 planes, and name **angles** formed by parallel **lines** and transversals.

Lesson 2-4 **Angles** and Parallel **Lines** Transversal Definition: A line that intersects two or more **lines** in a plane at different points is called a transversal.

1.4: **Lines** and Angle Relationships-parallel and perpendicular **lines** ( Transversals and angle names) GSE’s M(G&M)–10–9 Solves problems off the coordinate plane involving distance, midpoint, perpendicular and parallel **lines**, or slope

S1 **Lines** and **Angles** Contents S1.1 Labelling **lines** and **angles** Contents S1.2 Parallel and perpendicular **lines** Contents S1.3 Calculating **angles** Contents S1.4 **Angles** in polygons KS3 Mathematics S1 **Lines** and **Angles** Contents S1.1 Labelling **lines** and **angles** Contents S1.2 Parallel and perpendicular ...

3.1 **Lines** & **Angles** NCSCOS: 2.02 E.Q: What are relationships between **lines**? *What types ( kinds) of **angles** are formed when two **lines** are intersected by a transversal?

Chapter 3.1 Notes: Identify Pairs of **Lines** and **Angles** Goal: You will identify angle pairs formed by three intersecting **lines**. Two **lines** that do not intersect are either parallel **lines** or skew **lines**.

PARALLEL **LINES** CUT BY A TRANSVERSAL Monday, April 11, 2011 M8G1- Understand & Apply the Properties of parallel and Perpendicular **lines** and understand meaning of Congruence.

Properties of Parallel **Lines** 3-2 Properties of Parallel **Lines** 3-2 EXAMPLE 1 Identify congruent **angles** SOLUTION By the Corresponding **Angles** Postulate, m 5 = 120°.

3.1 – Identify Pairs of **Lines** and **Angles** Parallel **Lines**: two **lines** are parallel if they do not intersect AND are coplanar Skew **Lines**: Two **lines** are skew **lines** if they do not intersect and ARE NOT coplanar.

3.1 **Lines** and Angles3.3 Parallel **Lines** and Transversals3.4 Proving **Lines** Parallel3.5 Using Properties of Parallel **Lines**. Objectives: Be able to identify relationships between **lines**.

**Angles** and Parallel **Lines** What is to be learned? How to calculate missing **angles** in diagrams with parallel **lines** How to spot corresponding **angles** How to spot alternate **angles** **Angles** and Parallel **Lines** What is to be learned?

**Lines**, Line Segments, Rays and **Angles** What is a Line? A line is a straight path that goes on forever in both directions. What is a line segment? . .

Interior **Angles** Interior **Angles** add to 180⁰ **Angles** and parallel **lines**. Interior **Angles** Interior **Angles** add to 180⁰ You can spot interior **angles** by looking for the following shapes Interior **Angles**: ‘C’ shape Work out the value of the **angles** x and y in the diagram below.

Parallel **Lines** & Transversals P. 307 – 308 Objectives Identify parallel **lines** and the **angles** formed by parallel **lines** and transversals Transversal A transversal is a line, ray, or segment that intersects two or more **lines**, rays, or segments, each at a different point Notice – according to ...

Perpendicular **Lines** Perpendicular **lines** are two **lines** that intersect to form right **angles**. 90 “Married” Can you find the perpendicular **lines**? Perpendicular **lines** are also intersecting **lines** because they cross each other.

3-1 **Lines** & **Angles** *I can identify relationships between figures in space. *I can identify **angles** formed by two **lines** and a transversal. segment line Coplanar Do not intersect AE and CG Noncoplanar Do not intersect CB and AE They are not skew segments because they are Part of the plane CDEF.

Section 3.1: **Lines** and **Angles** * Geometry * * Geometry * Goals Identify relationships between **lines** Identify **angles** formed by transversals * Geometry * Relationships Between **Lines** Parallel **Lines** Coplanar **lines** that do not intersect Skew **Lines** **Lines** that do not intersect and are not coplanar ...

KS4 Mathematics S1 **Lines**, **angles** and polygons Contents S1.1 Parallel **lines** and **angles** Contents S1.2 Triangles Contents S1.3 Quadrilaterals Contents S1.4 **Angles** in polygons Contents S1.5 Congruence Contents S1.6 Similarity KS4 Mathematics S1 **Lines**, **angles** and polygons Contents S1.1 Parallel **lines** ...

Points, Segments, **Lines**, **Angles**, and Planes C.1.2.1 : Identify, describe and/or label parallel, perpendicular or intersecting **lines**. C.1.2.2 :Identify, draw and/or label points, planes, **lines**, line segments ,rays, **angles**, and vertices.

3.3 Parallel **Lines** and Transversals Proving **angles** congruent with parallel **lines** Corresponding **Angles** Postulate If two parallel **lines** are cut by a transversal, then the pairs of corresponding **angles** are congruent.