Mathematics
Grade9
Easy

Question

If K(-1, 0), C(1, 2), U(0, -2) are the points of original image and the points of dilated images are K’(-2, 0), C’(2, 4) ,U’(0, -4) then the scale factor is

  1. 1 half
  2. 2
  3. 1 third
  4. 3

hintHint:

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.

The correct answer is: 2


    G i v e n comma
K left parenthesis negative 1 comma space 0 right parenthesis comma space C left parenthesis 1 comma space 2 right parenthesis comma space U left parenthesis 0 comma space minus 2 right parenthesis
K ’ left parenthesis negative 2 comma space 0 right parenthesis comma space C ’ left parenthesis 2 comma space 4 right parenthesis space comma U ’ left parenthesis 0 comma space minus 4 right parenthesis

T o space f i n d comma
S c a l e space f a c t o r

H e r e comma
S c a l e space f a c t o r space k space equals space fraction numerator K ’ left parenthesis negative 2 comma space 0 right parenthesis over denominator K left parenthesis negative 1 comma space 0 right parenthesis end fraction space equals fraction numerator C ’ left parenthesis 2 comma space 4 right parenthesis space over denominator C left parenthesis 1 comma space 2 right parenthesis end fraction equals space fraction numerator U ’ left parenthesis 0 comma space minus 4 right parenthesis over denominator U left parenthesis 0 comma space minus 2 right parenthesis end fraction space equals space 2

    If the scale factor is more than 1, then the image stretches.
    If the scale factor is between 0 and 1, then the image shrinks.
    If the scale factor is 1, then the original image and the image produced are congruent

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