Chapter 11.3, Problem 24STP

(a)

To determine

To graph: The figure after a rotation of ${270}^{°}$ , clockwise.

Explanation of Solution

Given information:

The coordinates of the vertices A, B, C, and D from the graph are:

A (-1, -3)    B (-4, -3)

C (-4, 0)    D (-1, 0)

Graph:

Considering one small square as one unit.

After a rotation of ${270}^{°}$ (Clockwise), we get the new square $A^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }$

  

Interpretation:

The square $A^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }$ is represented in red color in the graph.

(b)

To determine

To give the coordinates of the vertices $A^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }$

Explanation of Solution

The square $A^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }$ is represented in red color in the graph.

The vertices of the square $A^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }$ are

  $\text{<msup><mo>A</mo><mo>′</mo></msup>}\left(\text{4,0}\right)$$B^{\prime }\left(\text{4,-3}\right)$

  $C^{\prime }\left(\text{1,-3}\right)$$D^{\prime }\left(\text{1,0}\right)$