Question

Can anyone please help me ? It’s due today :(

Answer 1

Answer:

The new coordinates are:

• A' (6, 24)

• B'(12, 12)

• C'(-12, 6)

Please check the attached graph.

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

Given the vertices of the triangle in the diagram

A (1, 4)

B(2, 2)

C(-2, 1)

In our case:

• Scale Factor K = 6

Rule to calculate the dilation by a scale factor 6 centered at the origin

P(x, y) → P'(6x, 6y)

Here, P'(6x, 6y) ) is the image of P(x, y).

• It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 6.

Thus,

A (1, 4)  → A'(6(1), 6(4))  → A'(6, 24)

B(2, 2)  → B'(6(2), 6(2))  → B'(12, 12)

C(-2, 1) → C'(6(-2), 6(1))  → C'(-12, 6)

Therefore, the new coordinates are:

• A' (6, 24)

• B'(12, 12)

• C'(-12, 6)

Please check the attached graph.