A triangle undergoes a sequence of transformations. First, the triangle is dilated by a scale factor of 1/2 about the origin. Then the triangle is reflected over the x-axis. Finally, the triangle is translated left 2 units and up 4 units. How does the newly formed triangle compare to the original triangle?

The triangle will still be similar to the original triangle.
Those transformations altered the position and scale of the triangle, but the angle measures are still the same.

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saimaparvezVT saimaparvezVT · Answer 2 · 2022-08-01T13:48:25+02:00

The image of the triangle undergoes a transformation: (x, y) ⇒ [-(1/2)y - 2, (1/2)x + 4]

What is Dilation?

Dilation is a process for creating similar figures by changing the size.

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is scale image?

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object.

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 p, the new point is at A'(px, py).

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) ⇒ [-(1/2)y - 2, (1/2)x + 4]

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