1.4: Translating Angles and Angle Bisectors

Slides:

Advertisements

Similar presentations

DO NOW Sketch each figure. CD GH AB Line m Acute ABC XY II ST.

Advertisements

Chapter measuring and constructing segments

1.5 Segment and Angle Bisectors Goal 1: Bisect a segment Goal 2: Bisect an angle CAS 16, 17.

1.5 Segment & Angle Bisectors Geometry Fall 2005 Mrs. Spitz.

Section 1.5 Segment & Angle Bisectors 1/12. A Segment Bisector A B M k A segment bisector is a segment, ray, line or plane that intersects a segment at.

1.5 Segment Bisectors & Midpoint

Section 1-5: Constructions SPI 32A: Identify properties of plane figures TPI 42A: Construct bisectors of angles and line segments Objective: Use a compass.

Bisecting Segments and Angles

Title of Lesson: Segment and Angle Bisectors

1-2: Measuring & Constructing Segments. RULER POSTULATE  The points on a line can be put into a one-to-one correspondence with the real numbers.  Those.

Goal 1. To be able to use bisectors to find angle measures and segment lengths.

1.6 Basic Constructions.

CHAPTER 1: Tools of Geometry

Some Basic Figures Points, Lines, Planes, and Angles.

1-2: Measuring & Constructing Segments. RULER POSTULATE  The points on a line can be put into a one-to-one correspondence with the real numbers.  Those.

1.5 Segment & Angle Bisectors p.34. Always Remember! If they are congruent, then set their measures equal to each other!

Chapter 1: Tools of Geometry

Lesson 1.7 – Basic Constructions “MapQuest really needs to start their directions on #5. Pretty sure I know how to get out of my neighborhood”

Unit 1 All About Angles and Constructions (not necessarily in that order) Ms. Houghton Geometry Honors Fall 2014.

M217 Section 1.3 Measuring Angles. Angle Terminology: Angle: 2 different rays with the same endpoint Vertex: Common endpoint - A Sides: Two rays – Naming:

Geometry |-35|, October 2012 HEAD UPS- new seats! HEAD UPS- new seats! 1)Warm up: (top front) a) Briefly define/ sketch a) Briefly define/ sketch.

Chapter 3 Using tools of Geometry. Lesson 3.1 Sketch – a drawing made free hand, no tools Draw – a drawing made with the tools. Compass and Straightedge.

SEGMENT AND ANGLE QUIZ CONSTRUCTION DAY SEPTEMBER 30, 2014 Objectives: The student will be able to…  To demonstrate proficiency with segments and angles.

Slide 1-1 Copyright © 2014 Pearson Education, Inc. 1.6 Constructions Involving Lines and Angles.

1.5 Segment & Angle Bisectors

Segments, Rays, and Distance

Midpoint and Distance Formulas

2.1 Segment Bisectors Goal:

Measuring Segments and Angles

Measuring and Constructing Segments

1.6 Basic Constructions SOL: G4 Objectives: The Student Will …

Chapter 5.1 Segment and Angle Bisectors

Warm up Find the midpoint of segment AB A(0,0) B(6,4)

Ch 1-6 Basic Constructions

Bisector A bisector divides a segment into two congruent segments. l

1.3 Midpoint and Distance.

Chapter 1: Essentials of Geometry

Chapter 5 Types of Segments

1.5 Segment & Angle Bisectors

Geometry 1.4 Angles.

Medians, Altitudes, & Perpendicular Bisectors

1.5 Segment & Angle Bisectors

Segments and Angle Bisectors

1.6: Midpoint and Distance in the Coordinate Plane

Day 3 Measuring Segments and Angles

Segments and Angle Bisectors

Warm Up If RS = 3x + 1, and ST = 15x – 9, RT = 64, find the value of x. Then find RS, and ST.

1.6: Midpoint and Distance in the Coordinate Plane

The Distance and Midpoint Formulas

1.5 Segment & Angle Bisectors

Clickers Bellwork Solve for x 3x+5+2x-4=36.

Measuring and Constructing Angles

Unit 2 – Similarity, Congruence, and Proofs

1.3: Midpoints and Bisectors

Proof and Perpendicular Lines

Drill (Day 11) 3) 30, 26, 21, 15, ___, ___, ___ 1) A B C

Use Segments and Congruence & Midpoints

Unit 4 Reflect, Translate & Rotate

Warm Up Construct a segment AB.

1.5 Segment and Angle Bisectors

Coordinate Distance Congruent Midpoint Bisector Angle Sides Vertex

Basic Constructions.

Geometry Unit 1: Foundations

Warm Up If RS = 3x + 1, and ST = 15x – 9, RT = 64, find the value of x. Then find RS, and ST.

Find the Other Endpoint of a Segment

1.5 Segment and Angle Bisectors

1.3 Use Midpoint and Distance Formulas

Unit 5 – Geometry Basic Vocabulary

Presentation transcript:

1.4: Translating Angles and Angle Bisectors WELCOME Math 2 1.4: Translating Angles and Angle Bisectors Last Night’s HW: 1.3 Handout Tonight’s HW: 1.4 Handout Quiz: Tomorrow (1.1-1.3)

Warm-Up Find the Midpoint of line segment AB, with endpoints: Find the distance between point Z and point J 2) Z(11,-4) & J(-2,6)

Chapter 1 Section 4 J. I can translate an angle on a coordinate plane K. I can construct a copy of an angle using my compass and straightedge L. I can construct angle bisectors using my compass and straightedge M. I know that an angle bisector splits an angle into two congruent angles.

Parts of an Angle An angle consists of two different rays that share a common initial point B Vertex Sides C A “ BAC, CAB, or A ”

Translating Angles

(we use matching red arcs to show congruency) Angle Bisector An angle bisector is a ray that divides an angle into two adjacent and congruent angles Given BAC, B D C A AD Bisects BAC if m BAD = m DAC (we use matching red arcs to show congruency) BAD DAC

We measure angles using degrees(°) We can match the sides of an angle with a number between 0 & 180 on the Protractor. B 70° C A Measure of BCA equals the absolute value of the difference “measure of C or m C ”

Practice