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

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.
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:
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