Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

If point M was located at (4, -2) and was
dilated to M'(6,-3), which dilation rule below
would make the dilation true?
A. (x,y) —> (x + 6, y-3)
B. (X,Y)—>(x,y)
C. (x,y) → (0.6x, 0.6y)
D. (x, y) —>(3/2x3/2y)

Sagot :

absor201

Answer:

The rule to calculate the dilation by a scale factor 1/3 centered at the origin

(x, y) → (3/2x, 3/2y)

Hence, option D is correct.

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

  • If the scale factor > 1, the image is enlarged
  • If the scale factor is between 0 and 1, it gets shrunk
  • If the scale factor = 1, the object and the image are congruent

The coordinates of the image can be determined by multiplying the coordinates of the original point by a given scale factor.

Given that the point M was located at (4, -2) and was dilated to M'(6,-3).

It means if we multiply the coordinates of the original point M(4, -2) by 3/2, we get the image point M'(6, -3).

i.e.

M(4, -2) → M'(3/2(4), 3/2(-2)) → M'(6, -3)

In other words, the image M'(6, -3) is obtained after the dilation by a scale factor 3/2 centered at the origin.

Therefore,

The rule to calculate the dilation by a scale factor 1/3 centered at the origin

(x, y) → (3/2x, 3/2y)

Hence, option D is correct.

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.