Prove and apply properties of rectangles, rhombuses, and squares.
Use properties of rectangles, rhombuses, and squares to solve problems.
Prove that a given quadrilateral is a rectangle, rhombus, or square.
Prove and apply properties of rectangles, rhombuses, and squares.
Use properties of rectangles, rhombuses, and squares to solve problems.
Prove that a given quadrilateral is a rectangle, rhombus, or square.
Determine what additional information is needed to prove two triangles congruent by a given theorem.
Create two-column proofs to show that two triangles are congruent.
Determine what additional information is needed to prove two triangles congruent by a given theorem.
Create two-column proofs to show that two triangles are congruent.
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
Properties of Parallelograms
How to Create Map Views in the Odoo 17 ERPCeline George
The map views are useful for providing a geographical representation of data. They allow users to visualize and analyze the data in a more intuitive manner.
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
For more information, visit-www.vavaclasses.com
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
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2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
What is the purpose of the Sabbath Law in the Torah. It is interesting to compare how the context of the law shifts from Exodus to Deuteronomy. Who gets to rest, and why?
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
1. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL4-5 Triangle Congruence: ASA, AAS, and HL
Holt Geometry
Warm UpWarm Up
Lesson PresentationLesson Presentation
Lesson QuizLesson Quiz
2. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Warm Up
1. What are sides AC and BC called? Side
AB?
2. Which side is in between ∠A and ∠C?
3. Given ∆DEF and ∆GHI, if ∠D ≅ ∠G and
∠E ≅ ∠H, why is ∠F ≅ ∠I?
legs; hypotenuse
AC
Third ∠s Thm.
3. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Apply ASA, AAS, and HL to construct
triangles and to solve problems.
Prove triangles congruent by using
ASA, AAS, and HL.
Objectives
5. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Participants in an orienteering race use
a map and a compass to find their way
to checkpoints along an unfamiliar
course.
Directions are given by bearings, which
are based on compass headings. For
example, to travel along the bearing S
43° E, you face south and then turn
43° to the east.
6. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
An included side is the common side
of two consecutive angles in a polygon.
The following postulate uses the idea
of an included side.
8. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Example 1: Problem Solving Application
A mailman has to collect mail from mailboxes at A
and B and drop it off at the post office at C. Does
the table give enough information to determine the
location of the mailboxes and the post office?
9. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
The answer is whether the information in the table
can be used to find the position of points A, B, and C.
List the important information: The bearing from
A to B is N 65° E. From B to C is N 24° W, and from
C to A is S 20° W. The distance from A to B is 8 mi.
11 Understand the Problem
10. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Draw the mailman’s route using vertical lines to show
north-south directions. Then use these parallel lines
and the alternate interior angles to help find angle
measures of ∆ABC.
22 Make a Plan
11. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
m∠CAB = 65° – 20° = 45°
m∠CAB = 180° – (24° + 65°) = 91°
You know the measures of m∠CAB and m∠CBA and
the length of the included side AB. Therefore by ASA,
a unique triangle ABC is determined.
Solve33
12. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
One and only one triangle can be made using the
information in the table, so the table does give
enough information to determine the location of the
mailboxes and the post office.
Look Back44
13. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Check It Out! Example 1
What if……? If 7.6km is the distance from B to C,
is there enough information to determine the
location of all the checkpoints? Explain.
7.6km
Yes; the ∆ is uniquely determined by AAS.
14. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Example 2: Applying ASA Congruence
Determine if you can use ASA to prove the
triangles congruent. Explain.
Two congruent angle pairs are give, but the included
sides are not given as congruent. Therefore ASA
cannot be used to prove the triangles congruent.
15. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Check It Out! Example 2
Determine if you can use ASA to
prove ∆NKL ≅ ∆LMN. Explain.
By the Alternate Interior Angles Theorem. ∠KLN ≅ ∠MNL.
NL ≅ LN by the Reflexive Property. No other congruence
relationships can be determined, so ASA cannot be
applied.
16. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
You can use the Third Angles Theorem to prove
another congruence relationship based on ASA. This
theorem is Angle-Angle-Side (AAS).
23. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Example 4A: Applying HL Congruence
Determine if you can use the HL Congruence
Theorem to prove the triangles congruent. If
not, tell what else you need to know.
According to the diagram,
the triangles are right
triangles that share one
leg.
It is given that the
hypotenuses are
congruent, therefore the
triangles are congruent by
HL.
24. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Example 4B: Applying HL Congruence
This conclusion cannot be proved by HL. According
to the diagram, the triangles are right triangles and
one pair of legs is congruent. You do not know that
one hypotenuse is congruent to the other.
25. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Check It Out! Example 4
Determine if you can use
the HL Congruence Theorem
to prove ∆ABC ≅ ∆DCB. If
not, tell what else you need
to know.
Yes; it is given that AC ≅ DB. BC ≅ CB by the
Reflexive Property of Congruence. Since ∠ABC
and ∠DCB are right angles, ∆ABC and ∆DCB are
right triangles. ∆ABC ≅ DCB by HL.
26. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Lesson Quiz: Part I
Identify the postulate or theorem that proves
the triangles congruent.
ASA
HL
SAS or SSS
27. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Lesson Quiz: Part II
4. Given: ∠FAB ≅ ∠GED, ∠ABC ≅ ∠ DCE, AC ≅ EC
Prove: ∆ABC ≅ ∆EDC
28. Holt Geometry
4-5 Triangle Congruence: ASA, AAS, and HL
Lesson Quiz: Part II Continued
5. ASA Steps 3,45. ∆ABC ≅ ∆EDC
4. Given4. ∠ACB ≅ ∠DCE; AC ≅ EC
3. ≅ Supp. Thm.3. ∠BAC ≅ ∠DEC
2. Def. of supp. ∠s
2. ∠BAC is a supp. of ∠FAB;
∠DEC is a supp. of ∠GED.
1. Given1. ∠FAB ≅ ∠GED
ReasonsStatements