Hypotenuse – Leg Congruence Theorem: HL

Jan 04, 2013

100 likes | 360 Views

Hypotenuse – Leg Congruence Theorem: HL. Hypotenuse-Leg Theorem (HL). If the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg of a second triangle, then the two triangles are congruent. A. M. hypotenuse. leg. leg. P. N. hypotenuse. leg. C. B. leg. OR.

Share Presentation

Embed Code

Link

leg p
n hypotenuse
second triangle
leg congruence theorem
leg c
right triangle

gillian

Download Presentation

Hypotenuse – Leg Congruence Theorem: HL

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

Hypotenuse – Leg Congruence Theorem: HL
Hypotenuse-Leg Theorem (HL) • If the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg of a second triangle, then the two triangles are congruent. A M hypotenuse leg leg P N hypotenuse leg C B leg
OR A M hypotenuse leg P N hypotenuse C B leg A M hypotenuse leg P N hypotenuse leg C B
Examples: Determine if the triangles are congruent. State the postulate or theorem.
- three sides - two sides & the included angle - two angles and the included side - two angles and the non-included side - hypotenuse and leg of a right triangle SSS SAS ASA AAS HL Postulates and Theorems We Know Now:

Automated Theorem Proving Lecture 1

Automated Theorem Proving Lecture 1. Given program P and specification S, does P satisfy S?. Program verification is undecidable!. The model checking approach. Create a model of the program in a decidable formalism Verify the model algorithmically Difficulties

829 views • 34 slides

Reynolds Transport Theorem vs. Material Derivative

Reynolds Transport Theorem vs. Material Derivative. www.ceet.niu.edu/faculty/kostic.

2.21k views • 1 slides

ECE 2300 Circuit Analysis

Shattuck@uh.edu 713 743-4422 W326-D3. ECE 2300 Circuit Analysis. Lecture Set #10 Thévenin’s and Norton’s Theorems including Dependent Sources. Dr. Dave Shattuck Associate Professor, ECE Dept. Norton’s Theorem. Overview of this Part Norton’s Theorem.

949 views • 71 slides

Propositional Approaches to First-Order Theorem Proving

Propositional Approaches to First-Order Theorem Proving. David A. Plaisted UNC Chapel Hill May 2004. History of AI. Early emphasis on general methods Newell Shaw Simon GPS Robinson 1965 resolution Cordell Green question answering Shift to specialized techniques Feigenbaum Expert Systems

1.09k views • 93 slides

THE BINOMIAL THEOREM Robert Yen

Please take a handout This PowerPoint can be downloaded from HSC Online. THE BINOMIAL THEOREM Robert Yen. TO AVOID ‘DEATH BY POWERPOINT’ ... Don’t copy everything down, as this presentation is on the HSC Online website

1.52k views • 74 slides

Pythagorean Theorem word problems

Pythagorean Theorem word problems. Problem #1. The length of Abe's rectangular living room is 16 feet and the distance between opposite corners is 20 feet. What is the width of Abe's living room? . Problem #2.

1.59k views • 11 slides

Spread Spectrum Techniques

Spread Spectrum Techniques. Frequency Hopping Direct Sequence. Shannon’s Theorem and Nyquist’s Theorem. channel capacity, [ bps ]. channel bandwidth, [Hz]. SNR is the signal-to-Noise ratio [ Unitless ]. Shannon’s theorem has some interesting implications: For a given capacity, :

1.29k views • 59 slides

Chomp

Crystal Bennett Joshua Chukwuka Advisor: Dr. K. Berg. Chomp. Chomp. Game Setup Rules of gameplay Positions Theorem 1 Proof of Theorem 1 Approach to 3x5 Approach to 3xn Theorem 1 Theorem 2 Theorem 3 . Game Setup. Standard game consists of a grid of size mxn .

976 views • 65 slides

Vector integrals Line integrals Surface integrals Volume integrals Integral theorems

CALCULUS III. CHAPTER 4: Vector integrals and integral theorems. Vector integrals Line integrals Surface integrals Volume integrals Integral theorems The divergence theorem Green’s theorem in the plane Stoke’s theorem Conservative fields and scalar potentials

5.13k views • 40 slides

Riemann Zeta Function and Prime Number Theorem

Riemann Zeta Function and Prime Number Theorem. Korea Science Academy 08-047 Park, Min Jae. Contents. History of Prime Number Theorem Background on Complex Analysis Riemann Zeta Function Proof of PNT with Zeta Function Other Issues on Zeta Function Generalization and Application.

1.92k views • 29 slides

Midline Theorem and Related Theorems

Midline Theorem and Related Theorems. A. 4. 1. Y. F. X. 2. 3. B. C. Midline Theorem 1. In a triangle, the segment joining the midpoint of two sides is parallel o the third side and equal to one-half of it.

4.46k views • 12 slides

BASIC PROPORTIONALITY THEOREM

BASIC PROPORTIONALITY THEOREM. IF A LINE IS DRAWN II TO ONE SIDE OF A TRI. TO INTERSECT THE OTHER TWO SIDES IN DISTINCT POINTS, THEN THE OTHER TWO SIDES ARE DIVIDED IN THE SAME RATIO. CONVERSE OF BASIC PROPORTIONALITY THEOREM.

2.63k views • 4 slides

Polynomial Bounds for the Grid-Minor Theorem

Polynomial Bounds for the Grid-Minor Theorem. Chandra Chekuri University of Illinois at Urbana-Champaign. Julia Chuzhoy Toyota Technological Institute at Chicago. Grid Minor Theorem (Excluded Grid Theorem) [Robertson, Seymour ‘86]. Graph Minor Theory [Robertson – Seymour]

1.14k views • 100 slides

Inverse Function Theorem and Implicit Function Theorem

Inverse Function Theorem and Implicit Function Theorem. Dr. M. Asaduzzaman Professor Dept. of Mathematics University of Rajshahi Email: md_asaduzzaman@hotmail.com. Contents. Euclidean Spaces Normed Linear Spaces Metric Induced From Norms Open Sets in ℝ n Continuous Functions

2.01k views • 56 slides

INTEGRALS

5. INTEGRALS. INTEGRALS. 5.3 The Fundamental Theorem of Calculus. In this section, we will learn about: The Fundamental Theorem of Calculus and its significance. FUNDAMENTAL THEOREM OF CALCULUS. The Fundamental Theorem of Calculus (FTC) is appropriately named.

1.16k views • 84 slides

CONTRACTS – Exceptions To Coase’s Theorem – Empty Core October 31, 2006

CONTRACTS – Exceptions To Coase’s Theorem – Empty Core October 31, 2006. Exceptions to the Theorem of Coase. Coase Theorem Exceptions To Coase Theorem Transaction Costs - October 17, 2006 Asymmetric Information - October 24, 2006 Empty Core - October 31, 2006.

1.23k views • 104 slides

More about Polynomials

10. More about Polynomials. Case Study. 10 .1 Polynomials and Their Operations. 10 .2 Division of Polynomials. 10 .3 Remainder Theorem. 10 . 4 Factor Theorem and Its Applications. 10 . 5 The G.C.D. and the L.C.M. of Polynomials. 10 . 6 Algebraic Fractions. Chapter Summary.

1.13k views • 47 slides

Sine Ratio

Sine Ratio. A. C. B. Introduction to Trigonometric Ratios. The figure below shows a right-angled triangle ABC , where  B =  and  C = 90. hypotenuse. opposite side of . adjacent side of . AB is called the hypotenuse ;. BC is called the adjacent side of  ;.

2.16k views • 176 slides

Criterion for the Index Theorem on the lattice

Criterion for the Index Theorem on the lattice. Pedro Bicudo Dep Física IST Lisboa. Coimbra, 25-29 September 2002. 0. Introduction. Ginsparg-Wilson relation.

1.48k views • 130 slides

CONTRACTS – Exceptions To Coase’s Theorem October 24, 2006

CONTRACTS – Exceptions To Coase’s Theorem October 24, 2006. Exceptions to the Theorem of Coase Asymmetric Information. Coase Theorem Exceptions To Coase Theorem Transaction Costs - October 17, 2006 Asymmetric Information - October 24, 2006 Empty Core - October 31, 2006.

1.24k views • 105 slides

Vector Calculus

CHAPTER 9.10~9.17. Vector Calculus. Contents. 9.10 Double Integrals 9.11 Double Integrals in Polar Coordinates 9.12 Green’s Theorem 9.13 Surface Integrals 9.14 Stokes’ Theorem 9.15 Triple Integrals 9.16 Divergence Theorem 9.17 Change of Variables in Multiple Integrals.

1.9k views • 124 slides

TRANSFORMER

The Pythagorean theorem With Robo Dan. TRANSFORMER. The Pythagorean theorem With Robo Dan. TRANSFORMER. Time To Learn about the Pythagorean Theorem. Time To Learn about the Pythagorean Theorem. Now its time to learn about the Pythagorean Theorem.

1.57k views • 117 slides

More Related