MathsNet: T - Transformations - Try it 1

Online Mathematics

Universal (all site questions)

Log On

Forgotten Password?

Module

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

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, Summary

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

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: 10087

T | Transformations | Translation | «Try it 1»

This display is based on a typical examination question. You can change some of the details in the question and then see the answer, step by step.

Change

Steps

All

Change

Steps

All

O

O

O

O

+

r

-

≡

☰

Summary/Background

translation

A translation is simply a movement from one position to another. The shape is not rotated or reflected or enlarged. It stays exactly the same in shape. In fact a shape and any translation of it are said to be congruent.

Software/Applets used on this page

jsMath

This page uses jsMath
You can get a better display of the maths by downloading special TeX fonts from jsMath. In the meantime, we will do the best we can with the fonts you have, but it may not be pretty and some equations may not be rendered correctly.

Glossary

congruent

This relates to geometric figures that have the same size and shape. For example, two triangles are congruent if their sides are of the same length and their internal angles are of the same measure.

translation

A transformation of a line or shape consisting of a simple movement without change of orientation.

union

The union of two sets A and B is the set containing all the elements of A and B.

Full Glossary List

This question appears in the following syllabi:

Syllabus	Module	Section	Topic	Exam Year
AQA GCSE (9-1) Foundation (UK)	G: Properties and Constructions	G7: Geometric Transformations	Translations	-
CIE IGCSE (9-1) Maths (0626 UK)	7 Matrices and Transformations	B7.2 Transformations with Vectors	Translations	-
Edexcel GCSE (9-1) Foundation (UK)	G: Properties and Constructions	G7: Geometric Transformations	Translations	-
GCSE Foundation (UK)	Geometry	Transformations	Translation	-
OCR GCSE (9-1) Foundation (UK)	9: Congruence and Similarity	9.01c: Translation	Translations	-
Universal (all site questions)	T	Transformations	Translation	-