cfe8lisoStirate
Answered

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'C'D'. If A'B' = 6, what is the scale factor of the dilation?

A6
B3
C2
D1/2
E4

Verified Answer :

HomertheGenius

First we have to find the length of AB:
AB² = ( 1 - 1 )² + ( 4 - 1 )²
AB² = 0² + 3²
AB² = 9
AB = √9 = 3
AB = 6
AB = k 3
6 = k 3
k = 2
Answer:
The scale factor of the dilation is
C ) 2

MrRoyal

The scale factor of the dilation of the rectangle ABCD is 2

How to determine the scale factor?

The coordinates are given as:

A(1, 1), B(4, 1), C(4, 2)

The points A and B have the same y-coordinate.

So, the distance AB is:

AB = 4 - 1

Evaluate

AB = 3

The scale factor (k) is then calculated using:

k = A'B'/AB

This gives

k = 6/3

Evaluate

k = 2

Hence, the scale factor of the dilation is 2

Read more about dilation at:

https://brainly.com/question/3457976

#SPJ5

Related Questions