MathsNet: P - Properties of shapes - Triangles

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33-D Geometry, 3D Shapes

AAlgebra, Algebra and Functions, Algorithms, Algorithms on graphs, Applications, Applications of the integrals, Area, Areas, Areas Related to Circles, Arithmetic, Arithmetic Progressions, Algebraic Expressions, Applying Congruence and Similarity, Approximate Solutions Using Graph

BBinomial Theorem, The Binomial Distribution

CCalculus, Centres of Mass, Circles, Collecting data, Collisions, Combinations of random variables, Complex Numbers, Complex Numbers and Quadratic Equations, Compound measures, Construction, Constructions, Continuous Distributions, Continuous Random Variables, Coordinate geometry, Coordinates, Correlation and Regression, Critical path analysis, Summary

DDecimals, Determinants, Differential equations, Differentiation, Dimensions, Direct and indirect proportion, Discrete Random Variables, Displaying data, Drawing, Dynamics, Summary

EEnlargement, Equivalence classes, Estimation, Exam preparation, Exponentials and logs, Summary

F1st Order Differential Equations, Financial mathematics, Flows in a network, Fourier series, Fractions, Functions, Functions and expressions, Further Dynamics, Summary

GGeometry, Goodness of fit, Graphic calculators, Graphics calculator, Graphs, Groups, Summary

HHyperbolic Functions, Hypothesis Tests, Summary

IImpulse and momentum in 2D, Indices, Inequalities, Integer Arithmetic, Integration, Introduction to 3-Dimesional Geometry, Inverse Laplace transforms, Inverse Trigonometric Functions, Irrational Functions, Inequalities in One Variable

KKinematics, Summary

LLaplace transforms, Limits and continuity, Limits and Derivatives, Linear Equations in 2 Variables, Linear programming, Linear-Programming, Summary

MMaclaurin and Taylor Series, Matchings, Mathematical modelling, Matrices, Matrix algebra, Measures, Mensuration, Moments, Motion in a circle, Multivariable calculus, Summary

NNotation, Number, Number and algebra, Numerical Methods, The Normal Distribution

OOscillations, Summary

PPaper 1, Paper 2, Percentages, Perimeter area volume, Permutation and Combinations, Piecewise functions, Polar Coordinates, Polynomials, Powers and roots, Probability, Proof, Properties of shapes, The Poisson Distribution

QQuadratic equations, Quadratic functions

RRoute inspection, Summary

S2nd Order Differential Equations, Sampling, Scales and ratios, Sequence and Series, Sequences, Sequences and series, Sets, Shape and space, Simple equations, Simulation, Simultaneous equations, Statics, Statistical models, Statistics, Summarising data, Surds, Surface Area and Volume, Surface Areas and Volumes, Symbolic Logic, Symbols, Systems of D.E.s, Systems of Rigid Bodies, Straight Line Graphs, Sketching Graphs of Functions, Solving Quadratics by Factorising, Simultaneous Linear Equations, Special Sequences

TTransformations, Travelling salesman problem, Triangles, Trigonometry

UUpper and lower bounds, Using a calculator

VVectors

WWork and Energy

MAPSelect Using the Interactive Map

Awarding Bodies

Page ID: 11723

P | Properties of shapes | Similarity | «Triangles»

Two triangles are similar if they have exactly the same shape. They may have different sizes though.

quadrilaterals,

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Summary/Background

If two shapes are similar then one is an enlargement of the other.

Software/Applets used on this page

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This question appears in the following syllabi:

Syllabus	Module	Section	Topic	Exam Year
AQA GCSE (9-1) Foundation (UK)	G: Mensuration and Calculation	G19: Applying Congruence and Similarity	Similarity	-
CBSE IX (India)	Geometry	Triangles	Congruence and similarity	-
CBSE X (India)	Geometry	Triangles	Similar triangles	-
CIE IGCSE (9-1) Maths (0626 UK)	3 Geometry	B3.4 Similar Figures	Similarity	-
Edexcel GCSE (9-1) Foundation (UK)	G: Mensuration and Calculation	G19: Applying Congruence and Similarity	Similarity	-
GCSE Higher (UK)	Geometry	Properties of shapes	Similarity	-
OCR GCSE (9-1) Foundation (UK)	9: Congruence and Similarity	9.04c: Similar Shapes	More Lengths in Enlargements	-
Universal (all site questions)	P	Properties of shapes	Similarity	-