Respuesta :

Answer:

Reflect, Translate, Dilate

Step-by-step explanation:

1. Reflect across the y-axis

2. Translate the triangle (x + 1, y + 1)

3. Dilate PQR by: [tex]\frac{3}{2}[/tex]

The transformations are: A reflection across the y-axis, a translation of 1 unit up and 1 unit to the right, and a dilation of scale factor k = 3/2.

Which sequence of transformations maps triangle PQR onto its image triangle P'Q'R'?

First, we can see that PQR is on the third quadrant and P'Q'R' is on the first quadrant (and the triangles are inverted), so we start with a reflection across the y-axis.

Then we need to translate the triangle one unit to the right and one unit upwards, so we have a translation:

T₁ ₁

Finally, we have a dilation.

Notice that RQ = 2 units and R'Q' = 3 units.

Then the scale factor is:

3 = k*2

k = 3/2

These are the 3 transformations used.

If you want to learn more about transformations:

https://brainly.com/question/4289712

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