Vectors and transformation geometry Flashcards
1
Q
What does a vector have?
A
Both a magnitude and a direction
2
Q
What is column vector notation?
A
(x direction/y direction)
3
Q
How is the magnitude of vector AB denoted?
A
|AB|
4
Q
How do you find the magnitude of vector AB?
A
Using Pythagoras’s theorem
5
Q
What are rotations specified by?
A
A centre and an angle
6
Q
How do you do a rotation?
A
- Trace the original shape
- Place your pencil on the centre of rotation
- Rotate the tracing paper by the given angle
- Redraw the new shape
7
Q
What angle does an anti-clockwise rotation have?
A
Positive
8
Q
What angle does a clockwise rotation have?
A
Negative
9
Q
What are reflections specified by?
A
A mirror line
10
Q
What are translations specified by?
A
A distance and direction
11
Q
What are rotated, reflected or translated shapes?
A
Congruent
12
Q
What are enlarged shapes?
A
Similar
13
Q
What are enlargements specified by?
A
A centre and a scale factor
14
Q
How do you do an enlargement?
A
- Pick a vertex and count the horizontal and vertical distances from the centre of enlargement
- Multiply both distances by the scale factor
- Start at the centre or enlargement and count the new horizontal and vertical distances to find the enlarged vertex
- Repeat for the other vertices
- Connect the vertices
