Geometry

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Constructions

using a straight edge & a pair of compasses

Angles

... how far rays are apart.

Parallel Lines

and the Associated Angle Pairs

Polygons

shapes made of straight edges

Transformations

Translations, Rotations, Reflections, Enlargements

Circles

never ending lines

Bearings

getting from A to B

Similarity
and
Congruence

Vectors

Direction and Magnitude

All you need to know about Isosceles Triangles

Euler's Formula

Spheres

Angles
How far rays are apart

Angles about a point

Angles about a point must all add to give 360 degrees

Angles about a point must add up to $360 °$

Videos and Questions

Angles: full circle (at a point) Video:: Practice Questions;; Textbook Exercise.; (Care of corbettmaths.com)

Angles forming a straight line

Angles on a straight line add to 180 degrees

A + B = 180

Angles forming a straight line must add up to $180 °$ . Angles that sum to $180 °$ are called supplementary.

Videos and Questions

Angles: straight line Video:: Practice Questions;; Textbook Exercise.; (Care of corbettmaths.com)

See Angle units and definition for more

Various Angle Videos and Questions:

Angles inc Videos:: Exam Questions;; Angles questions [ MS ].; (Care of www.mathsgenie.co.uk)

Bearings

Warm up Materials:

Trigonometry

Angles on Parallel Lines
(care of thirdspacelearning.com)

Describing Bearings:

A Bearing gives a direction of a destination in terms of an angle clockwise from the local north. This angle is always given as a three-digit value from 000 to 360 without a degree sign (°). Note, angles with one or two digits have preceding zeros added to make three digits.

In the above the bearing of Y from X is 135.

Bearings
(care of revisionmaths.com)
Bearings
(care of thirdspacelearning.com/)
Revision and worksheets
(care of mmerevise.co.uk)

Bearings Video:
Back bearings Video:: Practice Questions.
Given bearings from two points Video:: Practice Questions;; Textbook Exercise.; (care of corbettmaths.com)

Further Study:

Maps and Scale Drawings
(care of mmerevise.co.uk)

Parallel Lines and the Associated Angle Pairs

Spheres

$V = \frac{4}{3} π r^{3}$

Volume: sphere Video:: Practice Questions;; Textbook Exercise.

$A_{surface} = 4 π r^{2}$

Parallel lines and the Associated Angle Pairs

A pair of straight lines that point in the same direction on a plane, therefore never meet, are said to be parallel. Another line that crosses the two parallel lines is called the transversal. The pairs of angles created between the transversal and the two parallel line are either corresponding, alternate, interior or vertically opposite.

corresponding, alternate and interior angles

(Image: care of www.cazoommaths.com)

Videos and Questions:

Angles: parallel lines Video:: Practice Questions [ MS ]; Textbook Exercise; (Care of corbettmaths.com)
Angles in Parallel Lines:: Exam Questions; Angles in Parallel Lines; Solutions; (Care of www.mathsgenie.co.uk)

Further Reading

Equations for Parallel and Perpendicular Lines

Angles on Parallel Lines
(care of thirdspacelearning.com)

Transformations

An over view of the different types of transformation

A description of a tranlation using a column vector

Translations: Describing and Vector Video:
: Practice Questions;; Textbook Exercise.; (Care of corbettmaths.com); Translations questions [ MS ];; (Care of www.mathsgenie.co.uk); Translations Past Paper Questions; (Care of gcsemathsrevision.com)

... search for more ..
(Care of duckduckgo.com)

Reflections

Example of a simple reflection

Reflections Video:
Reflections: describing Video:
Reflections: finding mirror line Video:: Practice Questions;; Textbook Exercise.

Other Transformations

Rotations Video:: Practice Questions;; Textbook Exercise.
Enlargements Video:: Textbook Exercise.
Enlargements: centre of enlargement Video:: Textbook Exercise.
Describing Enlargements Video:: Textbook Exercise.
Finding centre of enlarge Video:: Textbook Exercise.
Enlargements: fractional scale factor Video:: Practice Questions;; Textbook Exercise.
Enlargements: negative scale factor Video:: Practice Questions;; Textbook Exercise
Enlargements: ray method Video:: Practice Questions.; (Care of corbettmaths.com)
Transformations Video: Rotations questions [ MS ];; Reflections questions [ MS ];; Enlargements questions [ MS ];; Mixed Transformations questions [ MS ].; (Care of www.mathsgenie.co.uk)

Further Materials:

Transformations
(Care of www.mathsgenie.co.uk)

... search for more ..
(Care of duckduckgo.com)

Similarity and Congruence

Congruent shapes:: Practice Questions;; Textbook Exercise.
Congruent triangles:: Practice Questions [inc MS];; Textbook Exercise.
Similar shapes: definition Video:: Practice Questions.
Similar shapes: finding sides:: Practice Questions;; Textbook Exercise
Similar shapes: area:: Textbook Exercise
Similar shapes: volume:: Practice Questions;; Textbook Exercise.
Similar shapes: Further Practice Questions.: (Care of corbettmaths.com)
AQA Similarity Areas Volumes: (Care of savemyexams.co.uk)
Similar shapes, scale factor, area & volume: (Care of examsolutions.net)
Congruent Triangles: (Care of thirdspacelearning.com)
Proof with Congruent Triangles: (Care of www.onlinemathlearning.com)

Constructions

30° Angle Video
45° Angle Video
90° Angle Video: Practice Questions; Textbook Exercise
Angle Bisector Video: Practice Questions; Textbook Exercise
60° Angle and Equilateral Triangles Video:: Textbook Exercise
Hexagon Video:: Practice Questions;; Textbook Exercise.
Loci part 1 Video:
Loci part 2 Video:
Loci part 3 Video:: Practice Questions;; Textbook Exercise.
Perpendicular Bisector Video: Practice Questions;; Textbook Exercise.
Perpendicular to point Video:: Practice Questions;; Textbook Exercise.
Perpendicular:point on line Video:: Practice Questions;; Textbook Exercise.
Triangles ASA Video;: Practice Questions:; Textbook Exercise.
Triangles SAS Video:: Practice Questions;; Textbook Exercise.
Triangles SSS Video:: Practice Questions;; Textbook Exercise.
Loci and Construction Videos:: Loci and Construction [ Sols ].; (Care of www.mathsgenie.co.uk)

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