Lesson 5-1: Perpendicular & Angle Bisectors Rigor: apply the perpendicular bisector theorem, the...

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Lesson 5-1: Perpendicular & Angle Bisectors Rigor : apply the perpendicular bisector theorem, the angle bisector theorem, and their converses Relevance : City planning and interior design

Transcript of Lesson 5-1: Perpendicular & Angle Bisectors Rigor: apply the perpendicular bisector theorem, the...

Page 1: Lesson 5-1: Perpendicular & Angle Bisectors Rigor: apply the perpendicular bisector theorem, the angle bisector theorem, and their converses Relevance:

Lesson 5-1: Perpendicular & Angle Bisectors

Rigor: apply the perpendicular bisector theorem, the angle bisector theorem, and their converses

Relevance: City planning and interior design

Page 2: Lesson 5-1: Perpendicular & Angle Bisectors Rigor: apply the perpendicular bisector theorem, the angle bisector theorem, and their converses Relevance:

Review: Write it down again so you don’t have to look for it.

Page 3: Lesson 5-1: Perpendicular & Angle Bisectors Rigor: apply the perpendicular bisector theorem, the angle bisector theorem, and their converses Relevance:

Example 1: Using the Perpendicular Bisector Theorem

A) What is AB? B) What is QR?

Page 4: Lesson 5-1: Perpendicular & Angle Bisectors Rigor: apply the perpendicular bisector theorem, the angle bisector theorem, and their converses Relevance:

The distance from a point to a line is the length of the perpendicular segment from the point to the line.

Page 5: Lesson 5-1: Perpendicular & Angle Bisectors Rigor: apply the perpendicular bisector theorem, the angle bisector theorem, and their converses Relevance:
Page 6: Lesson 5-1: Perpendicular & Angle Bisectors Rigor: apply the perpendicular bisector theorem, the angle bisector theorem, and their converses Relevance:

Example 2: Using Angle Bisector Theorem

A) What is RM? B) What is FB?

Page 7: Lesson 5-1: Perpendicular & Angle Bisectors Rigor: apply the perpendicular bisector theorem, the angle bisector theorem, and their converses Relevance:

Note the difference…

An angle bisector contains all the points equidistant from 2 LINES.

A perpendicular bisector contains all of the points equidistant from 2 POINTS.

Page 8: Lesson 5-1: Perpendicular & Angle Bisectors Rigor: apply the perpendicular bisector theorem, the angle bisector theorem, and their converses Relevance:

Example 3: Writing equations of bisectors

Write the equation in point slope form for the perpendicular bisector of the segment with the endpoints A(-1, 6) and B(3, 4).

Then write your equation in standard form.

Page 9: Lesson 5-1: Perpendicular & Angle Bisectors Rigor: apply the perpendicular bisector theorem, the angle bisector theorem, and their converses Relevance:

5-1 Classwork Heading: 5-1 CW textbook Pg 316 –

317 #12 – 17, 20, 22

There will be no 5-1 HW


Chapter 5 Properties of Triangles. Chapter 5 Objectives Identify a perpendicular bisectorIdentify a perpendicular bisector Identify characteristics of.

Chapter 5 Properties of Triangles. Chapter 5 Objectives Identify a perpendicular bisectorIdentify a perpendicular bisector Identify characteristics of.

Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:

Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:

5.1 Bisector and Medians · Bisectors. Medians. and Altitudes Notes — Part A Perpendicular Bisector: a line, segment, or ray that passes through the of a side of and is perpendicular

5.1 Bisector and Medians · Bisectors. Medians. and Altitudes Notes — Part A Perpendicular Bisector: a line, segment, or ray that passes through the of a side of and is perpendicular

Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a.

Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a.

Lesson 1: Thales’ Theorem - Federal Way Public Schools · Construct the perpendicular bisector of line segment 𝐴𝐵 below (as you did in Module 1). Draw another line that bisects

Lesson 1: Thales’ Theorem - Federal Way Public Schools · Construct the perpendicular bisector of line segment 𝐴𝐵 below (as you did in Module 1). Draw another line that bisects

Definition of Perpendicular bisector: a line perpendicular to a segment at the line segment´s midpoint Perpendicular bisector theorem: If a line is perpendicular,

Definition of Perpendicular bisector: a line perpendicular to a segment at the line segment´s midpoint Perpendicular bisector theorem: If a line is perpendicular,

Lesson 5-1 - mathppt.com · If a point lies on the perpendicular bisector of a ... Write the equation of the perpendicular bisector of the ... segment in point-slope form with endpoints

Lesson 5-1 - mathppt.com · If a point lies on the perpendicular bisector of a ... Write the equation of the perpendicular bisector of the ... segment in point-slope form with endpoints

5.1-5.3 Bingo. Write the following words on your bingo card in a RANDOM order. Median Altitude Perpendicular Bisector Angle Bisector Centroid Incenter.

5.1-5.3 Bingo. Write the following words on your bingo card in a RANDOM order. Median Altitude Perpendicular Bisector Angle Bisector Centroid Incenter.

Journal Chapter 5 Kirsten Erichsen Perpendicular Bisector and Theorem Angle Bisector and Theorem Concurrency Concurrency of Perpendicular Bisectors Circumcenter.

Journal Chapter 5 Kirsten Erichsen Perpendicular Bisector and Theorem Angle Bisector and Theorem Concurrency Concurrency of Perpendicular Bisectors Circumcenter.

with Teaching Notes - Appalachian State University · Web viewConstruct perpendicular lines, including the perpendicular bisector of a line segment. Using a compass and straightedge,

with Teaching Notes - Appalachian State University · Web viewConstruct perpendicular lines, including the perpendicular bisector of a line segment. Using a compass and straightedge,

Perpendicular Bisectors ADB C CD is a perpendicular bisector of AB Theorem 5-2: Perpendicular Bisector Theorem: If a point is on a perpendicular bisector.

Perpendicular Bisectors ADB C CD is a perpendicular bisector of AB Theorem 5-2: Perpendicular Bisector Theorem: If a point is on a perpendicular bisector.

Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

7.3 - Perpendicular Lines UPDATED KEY.notebookpshs.psd202.org/documents/lsolomon/1537904309.pdfPerpendicular Lines "is perpendicular to" Perpendicular bisector Lesson 7-3 Perpendicular

7.3 - Perpendicular Lines UPDATED KEY.notebookpshs.psd202.org/documents/lsolomon/1537904309.pdfPerpendicular Lines "is perpendicular to" Perpendicular bisector Lesson 7-3 Perpendicular

CAIU Geometry - Relationships with Triangles · 1 Relationships with Triangles 1 ... • Apply the Perpendicular Bisector Theorem and its converse to ... Find the midpoint and slope

CAIU Geometry - Relationships with Triangles · 1 Relationships with Triangles 1 ... • Apply the Perpendicular Bisector Theorem and its converse to ... Find the midpoint and slope

Constructing a Perpendicular Bisector · Constructing a Perpendicular Bisector Perpendicular Bisector 1. Adjust the compass to a width greater than half the length of your segment.

Constructing a Perpendicular Bisector · Constructing a Perpendicular Bisector Perpendicular Bisector 1. Adjust the compass to a width greater than half the length of your segment.

Perpendicular bisector and angle bisector

Perpendicular bisector and angle bisector

A perpendicular bisector is a line found in a triangle

A perpendicular bisector is a line found in a triangle

Sara Wunderlich. Describe what a perpendicular bisector is. Explain the perpendicular bisector theorem and its converse. Give 3 examples of each. Perpendicular.

Sara Wunderlich. Describe what a perpendicular bisector is. Explain the perpendicular bisector theorem and its converse. Give 3 examples of each. Perpendicular.

Perpendicular bisector – is a line that goes through a segment cutting it into equal parts, creating 90°angles Perpendicular bisector theorem – if.

Perpendicular bisector – is a line that goes through a segment cutting it into equal parts, creating 90°angles Perpendicular bisector theorem – if.

Typepad · Use the hinge theorem. 60. LABC zCBD 34 29 (4) 16 61. BC 12 Determine which word the definition describes: altitude, perpendicular bisector, angle bisector, orthocenter,

Typepad · Use the hinge theorem. 60. LABC zCBD 34 29 (4) 16 61. BC 12 Determine which word the definition describes: altitude, perpendicular bisector, angle bisector, orthocenter,