Properties and Theorems List of Theorems Chapters 1
- Slides: 23
Properties and Theorems
List of Theorems Chapters 1 -3 • • • • Ruler Postulate Segment Addition Postulate Protractor Postulate Angle Addition Postulate Law of Detachment Law of Syllogism Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Reflexive Property Transitive Property Substitution Property • • • Right Angle Congruence Theorem Congruent Supplements Theorem Congruent Complements Theorem Linear Pair Postulate Vertical Angles Theorem Parallel Postulate Perpendicular Postulate Corresponding Angles Postulate & Converse Alternate Interior Angles Theorem & Converse Consecutive Interior Angles Theorem & Converse Alternate Exterior Angles Theorem & Converse
List of Theorems Chapter 4 • • • Triangle Sum Theorem Exterior Angle Theorem Third Angles Theorem SSS Congruence Postulate SAS Congruence Postulate ASA Congruence Postulate AAS Congruence Postulate Base Angles Theorem Base Angles Converse Hypotenuse-Leg Congruence Theorem Chapter 5 • • • Perpendicular Bisector Theorem & Converse Angle Bisector Theorem & Converse Concurrency of Perpendicular Bisectors of a Triangle Concurrency of Angle Bisectors of a Triangle Concurrency of Medians of a Triangle Concurrency of Altitudes of a Triangle Midsegment Theorem Exterior Angle Inequality Triangle Inequality Hinge Theorem Converse of Hinge Theorem
4. 1 – Triangles and Angles
Types of Triangles
Types of Triangles
Right and Isosceles Triangles
Interior vs. Exterior Angles
Triangle Sum Theorem
Exterior Angle Theorem
Corollary to the Triangle Sum Theorem
Classify the triangle by its angles and by its sides.
Classify the triangle by its angles and by its sides.
Classify the triangle by its angles and by its sides.
Complete the sentence with always, sometimes, or never.
Sketch the following triangles, if possible. If not possible, state so. 1. A right isosceles triangle 2. An obtuse scalene triangle 3. An acute equilateral triangle 4. A right obtuse triangle
Find the measure of the numbered angles.
Find the measure of the numbered angles.
Find the measure of the exterior angle shown
Realize this last problem is an example of the Exterior Angle Theorem
Find the measure of the exterior angle shown
Homework • pp 198 -199 1 -28 all, 31 -39 all, 47, 49 -50
- List of theorem
- Parts of circle math
- Angles in alternate segments are equal
- Extensive vs intensive properties
- Is smell a physical property
- Postulates and theorems relating points lines and planes
- List the properties of normal distribution
- Is cracking an egg a physical change
- List the properties of x radiation chapter 38
- Logaritm rules
- List 2 of the important properties of gases
- Axiomatic system definition
- Singly vs doubly linked list
- Singly linked list vs doubly linked list
- List h shows account.
- Perbedaan single linked list dan double linked list
- Select list item list index too large
- Define cyclic co-ordinate
- Conservation theorem and symmetry properties
- Line relationships
- Thevenin and norton equivalent
- Factor therorm
- Strokes theorem
- 5-6 the remainder and factor theorems