Chap 23 - vectors & transformations

Question 1

meaning of invariant

Answer 1

-doesn’t change

Question 2

what to add to a changed shape to show that it has been changed

Answer 2

A’

Question 3

formula for scale factor

Answer 3

scale factor = image length
———————-
original length

Question 4

note: enlargement can be with or without a point

Question 5

how to enlarge with negative scale factor

Answer 5

-take the center of enlargement and count ups & downs to a point
-opposite it and multiply by scale factor to get the point’

Question 6

vectors

Answer 6

-have magnitude & direction
-can be written as column vectors
-if go opposite direction, vector is negative

Question 7

how to write column vector

Answer 7

( x on top of y )

Question 8

how to enlarge vector

Answer 8

multiply vecotrs

Question 9

how to add vectors

Answer 9

-add or subtract x with x, y with y

Question 10

how to find vecotrs

Answer 10

1) break down the lines & add them
-takes the shortest path
-take only paths with known vectors
-be careful of direction

Question 11

formula for magnitude of a vector

Answer 11

—->
|AB| = √ x^2 + y^2