Presentation is loading. Please wait.

Presentation is loading. Please wait.

Use Axioms, Proposition 1, Mauney’s Postulate, and Congruence Theorems SAS and SSS to bisect a given line segment. Also, construct a line perpendicular.

Published byRose Francis Modified over 8 years ago

Similar presentations

Presentation on theme: "Use Axioms, Proposition 1, Mauney’s Postulate, and Congruence Theorems SAS and SSS to bisect a given line segment. Also, construct a line perpendicular."— Presentation transcript:

1 Use Axioms, Proposition 1, Mauney’s Postulate, and Congruence Theorems SAS and SSS to bisect a given line segment. Also, construct a line perpendicular to a given line segment.

2 How do we define a right angle, today? According to Euclid, what is a right angle? Why did Euclid define right angle in such a strange way?

3 When a straight line standing on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that on which it stands.

4 A B C D

5 A B C D

6 A B C D O

7 A B C

8 A B C O

9 Math/lLogic Homework for Monday, May 2 1.Mauney’s Postulate 2.Area Workshop 3.Polished perpendicular bisector proof 4.Formal deduction from some Holmes book.

Download ppt "Use Axioms, Proposition 1, Mauney’s Postulate, and Congruence Theorems SAS and SSS to bisect a given line segment. Also, construct a line perpendicular."

Similar presentations

Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g.

Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g.
Given: is a rhombus. Prove: is a parallelogram.

Given: is a rhombus. Prove: is a parallelogram.
3.2 More Neutral Theorems Pasch’s Axiom-If a line l intersects Δ PQR at point S such that P-S-Q, then l intersects Crossbar Theorem-If X is a point in.

3.2 More Neutral Theorems Pasch’s Axiom-If a line l intersects Δ PQR at point S such that P-S-Q, then l intersects Crossbar Theorem-If X is a point in.
Hypotenuse – Leg Congruence Theorem: HL

Hypotenuse – Leg Congruence Theorem: HL
4-4 & 4-5: Tests for Congruent Triangles

4-4 & 4-5: Tests for Congruent Triangles
Corresponding Parts of Congruent Triangles Lesson 4-4.

Corresponding Parts of Congruent Triangles Lesson 4-4.
Chapter 4. Congruent Figures – figures that have exactly the same size and shape.Congruent Figures – figures that have exactly the same size and shape.

Chapter 4. Congruent Figures – figures that have exactly the same size and shape.Congruent Figures – figures that have exactly the same size and shape.
1 Aim: How do we prove lines are perpendicular? Do Now: A C D B StatementsReasons 1) 2) 3) 4) 5) 6) 7) 8) Given Def. Linear pair Linear pair is suppl.

1 Aim: How do we prove lines are perpendicular? Do Now: A C D B StatementsReasons 1) 2) 3) 4) 5) 6) 7) 8) Given Def. Linear pair Linear pair is suppl.
Perpendicular and Angle Bisectors

Perpendicular and Angle Bisectors
Bellwork  Given: is a perpendicular bisector to  Prove:

Bellwork  Given: is a perpendicular bisector to  Prove:
1Geometry Lesson: Isosceles and Equilateral Triangle Theorems Aim: What theorems apply to isosceles and equilateral triangles? Do Now: C A K B Given: Prove:

1Geometry Lesson: Isosceles and Equilateral Triangle Theorems Aim: What theorems apply to isosceles and equilateral triangles? Do Now: C A K B Given: Prove:
Euclid 325-265 BC Author of The Elements –13 books in all. –Standard textbook for Geometry for about 2000 years. Taught in Alexandria, Egypt.

Euclid BC Author of The Elements –13 books in all. –Standard textbook for Geometry for about 2000 years. Taught in Alexandria, Egypt.
What are the ways we can prove triangles congruent? A B C D Angle C is congruent to angle A Angle ADB is congruent to angle CDB BD is congruent to BD A.

What are the ways we can prove triangles congruent? A B C D Angle C is congruent to angle A Angle ADB is congruent to angle CDB BD is congruent to BD A.
Writing Triangle Proofs

Writing Triangle Proofs
DEFINITIONS, POSTULATES, AND PROPERTIES Review HEY REMEMBER ME!!!!!!

DEFINITIONS, POSTULATES, AND PROPERTIES Review HEY REMEMBER ME!!!!!!
Today – Wednesday, January 16, 2013  Learning Target: Review Ch.5 by practicing Ch.5 concepts in text book  Review Content from each chapter.

Today – Wednesday, January 16, 2013  Learning Target: Review Ch.5 by practicing Ch.5 concepts in text book  Review Content from each chapter.
Date: Topic: Proofs of Triangle Congruence (6.3)

Date: Topic: Proofs of Triangle Congruence (6.3)
Do Now #28:. 5.4 Hypotenuse-Leg (HL) Congruence Theorem Objective: To use the HL Congruence Theorem and summarize congruence postulates and theorems.

Do Now #28:. 5.4 Hypotenuse-Leg (HL) Congruence Theorem Objective: To use the HL Congruence Theorem and summarize congruence postulates and theorems.
Proving Triangles Congruent

Proving Triangles Congruent
Lesson 2.6 p. 109 Proving Statements about Angles Goal: to begin two-column proofs about congruent angles.

Lesson 2.6 p. 109 Proving Statements about Angles Goal: to begin two-column proofs about congruent angles.

Similar presentations

Ads by Google