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Rectangle ABCD with coordinates A(1, 1), B(4, 1), C(4, 2), and D(1, 2) dilates with respect to the origin to give rectangle A'B'CD'. If A'B' = 6, what is
the scale factor of the dilation?
A. 6
B. 3
C. 2
D. 1/2
E. 4

Rectangle ABCD with coordinates A1 1 B4 1 C4 2 and D1 2 dilates with respect to the origin to give rectangle ABCD If AB 6 what is the scale factor of the dilat class=

Respuesta :

Scale factor is a ratio. The correct option is C.

How are scale drawings formed?

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

The length of AB can be written as,

AB = √[(1-4)²+ (1-1)²]

AB = 3

Since the length A'B' is 6 units, therefore, the scale factor will be,

Scale factor = (Length after transformation)/(Length before transformation)

Scale factor = 6 /3 = 2

Hence, the correct option is C.

Learn more about Scale factors:

https://brainly.com/question/8765466

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