Question

1. plot points (11, 11) (16, 16) (16, 6). label this figure #21.
2. translate #21 down 22 units. label this figure #22.
3. reflect #22 across the y axis. label this figure #23.
4. translate #23 up 22 units. label this figure #24.
5. rotate #24 90° clockwise. label this figure #25.
6. rotate #25 180° clockwise. label this figure #26.
7. reflect #26 across the y axis. label this figure #27.
8. rotate #27 180° clockwise. label this figure #28.

Explanation:

Step1: Solve Q22 (Translate down 22)

Subtract 22 from each y-coordinate:
$(11, 11-22)=(11, -11)$; $(16, 16-22)=(16, -6)$; $(16, 6-22)=(16, -16)$

Step2: Solve Q23 (Reflect over y-axis)

Negate each x-coordinate:
$(-11, -11)$; $(-16, -6)$; $(-16, -16)$

Step3: Solve Q24 (Translate up 22)

Add 22 to each y-coordinate:
$(-11, -11+22)=(-11, 11)$; $(-16, -6+22)=(-16, 16)$; $(-16, -16+22)=(-16, 6)$

Step4: Solve Q25 (90° clockwise rotation)

Use rule $(x,y)\to(y,-x)$:
$(-11,11)\to(11,11)$; $(-16,16)\to(16,16)$; $(-16,6)\to(6,16)$

Step5: Solve Q26 (180° clockwise rotation)

Use rule $(x,y)\to(-x,-y)$:
$(11,11)\to(-11,-11)$; $(16,16)\to(-16,-16)$; $(6,16)\to(-6,-16)$

Step6: Solve Q27 (Reflect over y-axis)

Negate each x-coordinate:
$(11, -11)$; $(16, -16)$; $(6, -16)$

Step7: Solve Q28 (180° clockwise rotation)

Use rule $(x,y)\to(-x,-y)$:
$(11,-11)\to(-11,11)$; $(16,-16)\to(-16,16)$; $(6,-16)\to(-6,16)$

Answer:

1. $(11, -11)$, $(16, -6)$, $(16, -16)$
2. $(-11, -11)$, $(-16, -6)$, $(-16, -16)$
3. $(-11, 11)$, $(-16, 16)$, $(-16, 6)$
4. $(11, 11)$, $(16, 16)$, $(6, 16)$
5. $(-11, -11)$, $(-16, -16)$, $(-6, -16)$
6. $(11, -11)$, $(16, -16)$, $(6, -16)$
7. $(-11, 11)$, $(-16, 16)$, $(-6, 16)$