To map triangle A onto triangle B, we need to perform a combination of transformations such as translation, rotation, reflection, and dilation.
First, we can see that triangle A is slightly smaller than triangle B so we need to enlarge (dilate) triangle A to match the size of triangle B. We can do this by multiplying the coordinates of triangle A by a scaling factor.
Next, we need to rotate triangle A to match the orientation of triangle B. We can rotate triangle A by an angle equal to the difference in orientation between the two triangles.
Finally, we need to translate triangle A to align it with triangle B. This can be done by shifting the coordinates of triangle A in the x and y directions.
By performing these transformations, we can map triangle A onto triangle B and make them congruent.
Describe fully the single transformation which maps
( i ) triangle A onto triangle B,
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