Question

A triangle undergoes a sequence of transformations. First, the triangle is dilated by a scale factor of 1/3 about the origin. Then the triangle is reflected over the x-axis. Finally, the triangle is translated left 3 units and up 2 units. How does the image triangle compare to the pre-image triangle?

Answer 1

Sample Response: Because there was a dilation, the two triangles will be similar. The scale factor was less than one, so the image will be smaller than the pre-image.

Explanation:

edge ;)

Answer 2

The image triangle compare to the pre-image triangle will be similar due to dilation.

Explanation:

As given in the question ,the sequence of transformation undergone by a triangle are :-

• First, the triangle is dilated by a scale factor of 1/3 about the origin.
• Secondly, the triangle is reflected over the x-axis
• the triangle is translated left 3 units and up 2 units.

Due to the process of dilation, the two triangles will be similar. Another important factor is that the scale factor is less than one and is a reduction, thus, the image will be smaller than the pre-image but the triangle will be similar

The transformations mentioned in the above statement altered the position and scale of the triangle, but the angle measures of both the triangle remains the same.

Thus we can say that

The image triangle compare to the pre-image triangle will be similar due to dilation.