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? Explain.

Since there was a dilation, the two triangles will be similar. The scale factor is less than one and is a reduction, therefore, the image will be smaller than the pre-image.

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raphealnwobi raphealnwobi · Answer 2 · 2021-12-06T13:19:03+01:00

The image of the triangle undergoes a transformation: (x, y) ⇒ [-(1/3)y - 3, (1/3)x + 2]

Transformation is the movement of a point from its initial location to a new location. Types of transformation include translation, reflection, rotation and dilation.

If a point A(x, y) is dilated by a factor k, the new point is at A'(kx, ky).

If a point A(x, y) is reflected over the x-axis, the new point is at A'(x, -y).

If a point A(x, y) is translated a units left and b units up, the new point is at A'(x - a, y + b).

The image of the triangle undergoes a transformation: (x, y) ⇒ [-(1/3)y - 3, (1/3)x + 2]

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