Question

figure l answer a translation 5 units to the left and 5 units up a rotation 180° clockwise about the origin a rotation 90° clockwise about the origin a rotation 90° counterclockwise about the origin submit answer

Explanation:

To determine the transformation for Figure L, we analyze each option:

• A translation 5 units left and 5 units up: Translations move figures without rotation/reflection, but the figure's orientation change (from horizontal to vertical or vice - versa) suggests rotation, not translation. So this is incorrect.
• A rotation \(90^{\circ}\) clockwise about the origin: When a figure is rotated \(90^{\circ}\) clockwise about the origin, the transformation of a point \((x,y)\) is \((y, - x)\). This rotation can change the orientation of a horizontal segment (like in Figure L) to a vertical one (or vice - versa) which matches the expected transformation for such figure manipulations.
• A rotation \(180^{\circ}\) clockwise about the origin: A \(180^{\circ}\) rotation would map \((x,y)\) to \((-x,-y)\), and the orientation change for a \(180^{\circ}\) rotation is different from what is needed here (it would be a more symmetric flip rather than the 90 - degree turn - like change).
• A rotation \(90^{\circ}\) counter - clockwise about the origin: The transformation for a \(90^{\circ}\) counter - clockwise rotation is \((-y,x)\), which would result in a different orientation change compared to the \(90^{\circ}\) clockwise rotation, and it does not match the expected transformation for Figure L.

Answer:

A rotation \(90^{\circ}\) clockwise about the origin