Question

① reflect figure d across line k
② translate figure d along segment b in the direction of the arrow
label all figures appropriately.

Explanation:

Step1: Reflect figure D across line k

For each vertex of figure D, measure the perpendicular distance to line k. Then, on the opposite side of line k, mark a point at the same perpendicular distance from line k. Connect these new - marked points to form figure D'.

Step2: Translate figure D' along segment B

Determine the length and direction of segment B. For each vertex of figure D', move the vertex the same length and in the same direction as indicated by segment B. Connect the new - positioned vertices to form the final figure. Label the original figure as D, the reflected figure as D', and the final translated figure as D''.

Answer:

Follow the above - described steps to reflect and translate the figure and label them as D, D', and D'' respectively.