Question

Which of the following statements is true for the figures shown.

Answer 1

The correct answer option is A. Rectangle ABCD has been dilated using O as the center.

Explanation:

We are given a figure of two rectangles, where rectangle ABCD is transformed to rectangle A'B'C'D'.

We are to determine whether which transformation has been applied to rectangle ABCD and with respect to which point as the center.

A transformation which results in an image that is exactly the same shape as the original but has a different size. While the center of dilation is a fixed point on the plane.

So we can conclude that Rectangle ABCD has been dilated using O as the center.

Answer 2

Statement A is true

Explanation:

These two figures are similar as they have the same shape but they have a different size.

Step 1 : Lets look at the meaning of the word 'dilated'

'Dilated' means 'enlarged.

Step 2 : Lets look at which figure is large and which is small.

A'B'C'D' is the larger version of ABCD

Step 3 : Search for the centre of dilation

The centre of dilation is point O.

Therefore, statement A is true that rectangle ABCD (the smaller rectangle) has been dilated (enlarged) using O as the centre.

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