Geometry

Axiom (definition) #Geometry #Maths

Statement accepted without proof

Theorem (definition) #Geometry #Maths

Statement that can be shown to be true. Requires a proof

Corollary (definition) #Geometry #Maths

A statement attached to a theorem which has been proven and follows on from it

Converse (definition) #Geometry #Maths

Formed when the hypothesis and conclusion are swapped (checking if opposite is true)

Proof (definition) #Geometry #Maths

Sequence of statements leading to the establishment of some final statement

Implies (definition) #Geometry #Maths

Relationship between 2 statements if the first is true then the second must be true

Equivalent to (definition) #Geometry #Maths

Same as or equal

What does an interior andgle and an exterior angle in a triangle add up to? #Geometry #Maths

180

How many sides/angles are equal to each other in an isoceles triangle? #Geometry #Maths

2

How many sides/angles are equal to each other in an equilateral triangle? #Geometry #Maths

3

Draw vertically opposite angles #Geometry #Maths

How many degrees in a straight line? #Geometry #Maths

180

How many degrees in a circle? #Geometry #Maths

360

What is a transversal? #Geometry #Maths

Line going through at least two other lines

Draw corresponding angles #Geometry #Maths

Draw alternate angles #Geometry #Maths

What do interior angles add up to? #Geometry #Maths

180

The longest side of a triangle is opposite the … side #Geometry #Maths

Largest

The shortest side of a triangle is opposite the … side #Geometry #Maths

Shortest

What is polygon? #Geometry #Maths

Closed shape made up of straight lines

What is a regular polygon? #Geometry #Maths

Equal sides and equal angles

What do rectangles squares and rhombuses also be classified as? #Geometry #Maths

Parallelogram

… sides are equal (Parallelogram) #Geometry #Maths

Opposite

… sides are parallel (Parallelogram) #Geometry #Maths

Opposite

… angles are equal (Parallelogram) #Geometry #Maths

Opposite

Diagonals of a parallelogram #Geometry #Maths

Bisect each other

… sides are equal (rhombus) #Geometry #Maths

Four

… sides are parallel (Rhombus) #Geometry #Maths

Opposite

… angles are equal (Rhombus) #Geometry #Maths

Opposite

Diagonals of a rhombus #Geometry #Maths

Bisect each other to form 90 degree angles

… sides are equal (Rectangle) #Geometry #Maths

Opposite

… sides are parallel (Rectangle) #Geometry #Maths

Opposie

… angles are equal (Rectangle) #Geometry #Maths

All angles at 90 degree

Diagonals of a rectangle #Geometry #Maths

Bisect each other

… sides are equal (Square) #Geometry #Maths

Four

… sides are parallel (Square) #Geometry #Maths

Opposite

… angles are equal (Square) #Geometry #Maths

All angles at 90 degree

Diagonals of a parallelogram #Geometry #Maths

Bisect each other to form 90 degree angles

Area of a parallelogram #Geometry #Maths

b(h)

What is b? (Area of a parallelogram) #Geometry #Maths

Base

What is h? (Area of a parallelogram) #Geometry #Maths

perpendicular height

Angles standing on the same arc #Geometry #Maths

Angles in a circle on the same arc are equal in measure

Angle in centre and on circle on same arc #Geometry #Maths

Angle at centre is 2x the one at circumference

Angle in a semicircle #Geometry #Maths

90 degrees

Angle in a cyclic quadrilateral #Geometry #Maths

Opposite angles sum to 180. All 4 angles sum to 360

Triangles involving radii #Geometry #Maths

If a triangle inside a circle with 2 sides that are radii then it must be isoceles

What is a tangent? #Geometry #Maths

Line that makes a 90 degree angle with the radius at the point of contact

Intersecting circles #Geometry #Maths

If two circles intersect at one point then that point and their two centres are collinear

Chords #Geometry #Maths

If a line is drawn at a right angle through a chord and goes through the centre of the circle it will cut the chord into two equal parts

Similar triangles #Geometry #Maths

Triangles have the same angle and proportional sides

Congruent triangles #Geometry #Maths

Triangles that have equal angles and sides

What are the 4 ways to prove congruency #Geometry #Maths

SSS SAS ASA RHS

What angle is needed in SAS #Geometry #Maths

Angle in between

What side is needed in ASA? #Geometry #Maths

Side in between