Shape, Space And Measure Flashcards
(27 cards)
How to work out the volume of a prism?
Area of cross section*lenght
What is the surface area of prisms
2 * Base Area + Perimeter of Base * Height of Prism
Rules for similar shapes
Have same angles
Can be enlarged
What are all parallel line rules? (7)
Corresponding angles
Alternate angles
Co-interior
Vertically opposite
Angles in a triangle
Around a point
Straight line
What is the corresponding angle rule?
They are equal
What is the alternate angle rule?
They are equal
What is the co-interior angle rule?
Add up to 180°
What is the vertically opposite rule
They are equal
What is the angles in a triangle rule?
Add up to 180°
What is the angles around a point rule?
Add up to 360°
What is the rule for angles in a straight line?
Add up to 180°
How to calculate the interior angles of a polygon?
(N-2)*180°
How to calculate the exterior angles of a polygon?
Always 360°
What information do we need
to accurately rotate a shape?
(Use this when writing for describing the rotation)
How many degrees?
Direction of rotation (clockwise or anti clockwise)
Centre of rotation
Direction is not needed if the angle is 180°
What information do we need
to accurately reflect a shape?
(Use this when writing for describing the reflection)
Reflected in the line y=…/x=…
What information do we need
to accurately translate a shape?
(Use this when writing for describing the translation)
Use a vector
—> right or left? How many squares/units?
—>up or down? How many squares/units?
Centre of translation
How does a vector work?
Top number says horizontal translation (right is a positive number,left is a negative number)
Bottom number says vertical translation (top is a positive number,down is a negative number)
What information do we need
to accurately enlarge a shape?
(Use this when writing for describing the enlargement)
Centre of enlargement
Scale factor
What happens if the scale factor is a fraction?
The shape gets smaller
What happens if the scale factor is a negative number?
Enlarge on the opposite side
How to work out scale factor?
Enlarged shape’s side/original shape’s side
How to enlarge a shape?
When a shape is enlarged from a centre of enlargement, the distances from the centre to each point are multiplied by the scale factor
What are all the congruency rules? (4)
SSS-side,side,side
SAS-side,angle,side
ASA-angle,side,angle
HL-hypotenuse,leg
What’s a,b and c in terms of Pythagoras theorem
A and b are the shorter sides
C is the hypotenuse
