Question

which transformations were used to create triangle jkl? the origin, (0, 0), was used as the center of dilation. dilation by a scale factor of 1/2 and a reflection across the y - axis dilation by a scale factor of 1/2 and a reflection across the x - axis dilation by a scale factor of 2 and a rotation of 90° clockwise about the origin dilation by a scale factor of 2 and a rotation of 90° counter - clockwise about the origin

Explanation:

Step1: Analyze dilation

Observe the size change of the triangle. The new - triangle is smaller than the original one, so the scale factor is less than 1. If we assume the original triangle has side - lengths and the new one has corresponding side - lengths, and by comparing the lengths of corresponding sides, we can see that the scale factor is $\frac{1}{2}$.

Step2: Analyze reflection

Notice the orientation of the triangle. The original triangle and the new triangle are mirror - images of each other with respect to the $x$ - axis. When a point $(x,y)$ is reflected across the $x$ - axis, it becomes $(x, - y)$.

Answer:

dilation by a scale factor of $\frac{1}{2}$ and a reflection across the $x$ - axis