Question

the two triangles are similar.
describe a sequence of transformations that demonstrates the similarity.
△fgh can be mapped onto △jkl by rotating it 180° and dilating it by a scale factor of approximately 1.5.
△fgh can be mapped onto △jkl by rotating it 90° and dilating it by a scale factor of approximately 1.5.
△fgh can be mapped onto △jkl by reflecting it across a vertical line and dilating it by a scale factor of approximately 1.5.
△fgh can be mapped onto △jkl by reflecting it across a horizontal line and dilating it by a scale factor of approximately 1.5.

Explanation:

Step1: Analyze rotation

By observing the orientation of the triangles, a 180 - degree rotation is needed to align their general orientation.

Step2: Analyze dilation

The larger triangle $\triangle{JKL}$ is about 1.5 times the size of $\triangle{FGH}$, so a dilation with a scale - factor of approximately 1.5 is required.

Answer:

$\triangle{FGH}$ can be mapped onto $\triangle{JKL}$ by rotating it $180^{\circ}$ and dilating it by a scale factor of approximately 1.5.