Respuesta :

bhadelsimron19

Answer:

Step-by-step explanation:

use formula

(x,y)=(kx,ky)   (k means scale factor)

A(1,1)=A'(1*2,1*2+

A'=(2,2)

B(3,1)=B'(3*2,1*2)

B'=(6,2)

C(3,-3)=C'(3*2,-3*2)

C'=(6,-6)

The given statements are,

1. BC and B'C' are the same line, is true.

And, 2. AB and A'B' are both parallel to x - axis, is true.

Here,

Triangle A'B'C' is the result of dilating ABC about point P by a scale factor of 2.

What is dilation?

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Now,

For finding the points of A', B', C' we used formula,

(x, y) = (kx, ky)

Where k is scalar factor.

Here, A = ( 1, 1 ) ⇒A' = ( 2X1, 2X1) = ( 2, 2 )

And, B = ( 3, 1 ) ⇒ B' = ( 2X3, 2X1 ) = ( 6, 2 )

And, C = ( 3, -3 ) ⇒C' = ( 2X3, 2X-3 ) = ( 6 , -6 )

Hence, clearly by all points,

BC and B'C' are on the same line.

And, AB and A'B' are both parallel to x - axis.

Both are true.

Learn more about the dilation visit:

https://brainly.in/question/3154626

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