№ files_lp_4_process_3_129295
File format: docx
Character count: 1570
File size: 136 KB
Instructional content explaining the Hinge Theorem and its converse with examples and exercises for comparing sides and angles in two triangles.
Year:
2026
Subject:
Geometry, Triangle Inequalities
Document type:
Educational Material
Author:
Unknown
Intended audience:
High school or introductory college students
Relevant theorems:
Hinge Theorem (SAS Inequality Theorem), Converse of Hinge Theorem (SSS Inequality Theorem)
Exercises included:
Yes
Mathematical concepts:
Triangle congruence, angles, sides comparison
Price: 8 / 10 USD
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The product description is provided for reference. Actual content and formatting may differ slightly.
Year:
2021
Region / City:
Novato, CA
Topic:
Decorative / Acoustical Wall Panels
Document Type:
Product Specification
Organization / Institution:
Smith & Fong Company
Manufacturer:
Smith & Fong Company
Target Audience:
Contractors, architects, designers
Period of Validity:
Not specified
Approval Date:
Not specified
Modification Date:
Not specified
Certification:
FSC 100% Certified, CARB ULEF
Test Standards:
ASTM C 423, ASTM E 90, ASTM E 84, ASTM D6007
Product Features:
Bamboo, sound absorption, ultra-low emitting formaldehyde
Delivery Instructions:
Protect from moisture, direct sunlight, and damage
Warranty:
Available online
Maintenance:
Extra materials required
Year:
2023
Region / City:
Atlanta
Topic:
Online dating, dating apps, Hinge
Document type:
Interview
Organization:
Hinge
Author:
Claire Duffy, Jackie Jantos
Target audience:
Users of dating apps, particularly Gen Z
Period of action:
Ongoing
Approval date:
N/A
Date of changes:
N/A
Year:
2026
Region / City:
Not specified
Subject:
Waterworks valves
Document Type:
Technical specification
Organization / Institution:
Ken-Flex / McWane Plant & Industrial / Kennedy Valve
Standards:
AWWA C508, ASTM A536, ANSI B16.1
Valve Sizes:
3” through 36”
Materials:
Ductile iron, EPDM, NSF-61 approved epoxy
Pressure Rating:
250 psi working pressure
Testing:
Cycle tested 1,000,000 times, hydrostatically tested to 2× rated pressure
Warranty:
12 months from shipment
Installation Requirements:
Minimum 5 pipe diameters upstream
Year:
2022
Region / City:
New South Wales
Subject:
Mathematics
Document Type:
Teaching Plan
Institution:
NSW Education Standards Authority (NESA)
Author:
Unknown
Target Audience:
Students
Period of Validity:
Not specified
Date of Approval:
Not specified
Date of Changes:
Not specified
Year:
2023
Region / city:
Lagos, Nigeria
Topic:
Insurance, Actuarial Science
Document type:
Research Paper
Organization / institution:
University of Lagos
Author:
Abiola Bankole, Omotayo Johncally
Target audience:
Researchers, Actuaries, Insurance Professionals
Period of validity:
Not specified
Approval date:
Not specified
Date of changes:
Not specified
Year:
Not specified
Region / City:
Not specified
Theme:
Work, integrals, physics problems
Document Type:
Educational material
Organization / Institution:
Not specified
Author:
Not specified
Target Audience:
Students studying calculus or physics
Period of Validity:
Not specified
Date of Approval:
Not specified
Date of Changes:
Not specified
Year:
2026
Institution:
PASCO Scientific
Document Type:
Laboratory Manual
Author:
Jon Hanks
Intended Audience:
Physics students
Topic:
Classical Mechanics, Work-Energy Theorem
Equipment:
Motion sensor, Force sensor, Dynamics cart, Elastic cord, Masses, Track
Experiment Duration:
Single lab session
Data Analysis:
Force vs. position graphs, velocity vs. position graphs
Learning Objectives:
Demonstrate the work-energy theorem, investigate the effect of mass on kinetic energy and velocity
Pre-lab Questions Included:
Yes
Post-lab Analysis:
Yes
Safety Considerations:
Standard lab safety procedures
Year:
2023
Subject:
Mathematics
Type of document:
Worksheet
Educational level:
Middle/High School
Topics covered:
Pythagorean triples, right triangles, triangle classification, application problems
Skills assessed:
Algebra, Geometry, Measurement
Target audience:
Students
Date created:
2023-09-19
Year level:
Stage 5 (Mathematics K–10)
Subject:
Mathematics
Topic:
Circles, Cartesian plane, Pythagoras’ theorem
Document type:
Classroom lesson activity plan
Curriculum reference:
MAO-WM-01; MA5-NLI-P-01
Curriculum document:
Mathematics K–10 Syllabus
Educational authority:
NSW Education Standards Authority (NESA)
Jurisdiction:
New South Wales, Australia
Copyright year:
2022
Learning intention:
To understand the connection between the graph of a circle and its equation
Success criteria:
Find the distance between two points; derive the equation of a circle; determine the radius from an equation; graph a circle with centre at the origin
Teaching strategies mentioned:
Visibly random groups, gallery walk, Two stars and a wish peer feedback, Think-Pair-Share, Pose-Pause-Pounce-Bounce questioning
Digital tools referenced:
Desmos Graphing Calculator; GeoGebra applet “Circle Equation Anatomy and Exploration”
Associated materials:
PowerPoint “Going around in circles”; Appendix A “Lost bushwalker” worksheet
Activity context:
Scenario of a lost bushwalker navigating relative to a waterhole
Mathematical focus:
Distance formula, right-angled triangles, Cartesian coordinates, equation
Note:
????
Year:
2021
Region / City:
USA
Subject:
Geometry
Document Type:
Educational Material
Organization / Institution:
Pearson Education
Author:
Pearson Education
Target Audience:
Students
Period of Validity:
Ongoing
Approval Date:
Not specified
Date of Changes:
Not specified
Year:
2026
Region / City:
Not specified
Subject:
Geometry
Document type:
Educational notes
Institution:
Not specified
Author:
Not specified
Target audience:
Students
Key concepts:
Similar triangles, congruent triangles, SSS, SAS, angle-side relationships
Examples included:
Yes
Difficulty level:
High school mathematics
Date created:
2026
Year:
2026
Region / City:
Not specified
Subject:
Mathematics
Document Type:
Educational Worksheet
Institution:
Not specified
Author:
Not specified
Target Audience:
Middle school or high school students
Topics Covered:
Similar triangles, proportions, indirect measurement
Examples Included:
Shadow measurement, monuments, buildings, surveying
Skills Practiced:
Setting up proportions, solving for unknown lengths
Grade:
8
Subject:
Mathematics
Topic:
Geometry – Similar Triangles
Type:
Classwork / Worksheet
Learning Standard:
CC.SS.8.G.5
Period:
Not specified
Author:
Not specified
Target Audience:
Middle school students
Instructions:
Solve for missing lengths using properties of similar triangles
Tasks:
Multiple word problems involving shadows, cones, mirrors, and triangles
Required Units:
Feet, centimeters
Year:
Not specified
Topic:
Geometry, Coordinate Geometry
Document type:
Educational Exercise
Target audience:
Students learning geometry
Content:
Definitions and step-by-step exercises on medians, altitudes, and perpendicular bisectors of triangles
Skills practiced:
Plotting points, calculating slopes, determining equations of lines, identifying concurrency points
Format:
Text instructions with example points and calculation steps
Source:
Instructional material for classroom or self-study use
Exercises:
Three main exercises covering medians, altitudes, and perpendicular bisectors
Year:
2011-2012
Region / City:
Not specified
Subject:
Mathematics – Geometry
Document Type:
Exercise Sheet
Institution:
Not specified
Target Audience:
Students
Topics Covered:
Angles, Triangles, Parallel Lines, Polygons, Geometric Constructions
Assessment:
Marks assigned for each question
Skills Practiced:
Deductive reasoning, geometric construction, angle calculation
Format:
2-Column Proofs, Construction Tasks, Angle Measurement Problems