Shape and Space Flashcards
Formula for the circumference of a circle
πd
where d is the diameter of the circle
Formula for the area of a circle
πr2
where r is the radius of the circle
What does it mean for two shapes to be congruent?
They are exactly the same.
What does Pythagoras’ Theorem say?
a2 + b2 = c2
for a right-angled triangle
How many centimetres are in one metre?
100
order 3
tesselation
Triangular based prism
Formula for the area of the trapezium
1/2 (a + b) x perpendicular height
Formula for the area of a triangle
1/2 x base x perpendicular height
Formula for the area of a parallelogram
base x perpendicular height
Formula for the volume of a prism
cross-sectional area x length
Describe what the surface area of a 3D shape is
The area of all the faces added together
To prove two triangles are congruent, use one of …
SSS, SAS, ASA, RHS
Perpendicular bisector
Angle bisector
The view from front or side of a 3D shape is called
Elevation
What is the bird’s eye view of a shape called
Plan view
Net of a square-based pyramid
Name the four types of transformation
Translation, rotation, reflection and enlargement
For an enlargement you need to state:
- Centre of enlargement
- Scale Factor
For a rotation you need to state:
- Centre of rotation
- Angle of rotation
- Direction of rotation (clockwise or anticlockwise)
For a reflection you need to state:
Line of reflection
For a translation you need to state:
Vector of translation
What are the “triangles” for the trigonometry formulae?
Change 2m3 into cm3
2 x 1003 = 2 x 1000000
= 2000000cm3
Change 5cm2 into mm2
5 x 102 = 5 x 100
= 500mm2
Change 3m2 into cm2
3 x 1002 = 3 x 10000
= 30000cm2
How many ml are in 1 litre?
1000
How many grams are there in 1 kilogram?
1000
How many centimetres are there in 1 metre?
100
How many metres are there in 1 kilometre?
1000
How many millimetres are there in 1 centimetre?
10
What is the cosine rule?
What is the sine rule?
