options for 1-
a 90 degree counterclockwise rotation about point d, a translation 2 units down, a reflection across the x-axis.

options for 2-
a 90 degree clockwise rotation about point d, a translation 2 units left, a reflection across the y-axis.

answer:

reflection across x axis and 90 degree clockwise rotation about point d

step-by-step explanation:

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step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.