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: Fix #22 coordinates

Original points: $(11,11), (16,16), (16,6)$
Translate down 22: subtract 22 from y-values.
$(11, 11-22)=(11,-11)$; $(16,16-22)=(16,-6)$; $(16,6-22)=(16,-16)$

Step2: Find #23 coordinates

Reflect over y-axis: flip x-signs.
$(-11,-11)$; $(-16,-6)$; $(-16,-16)$

Step3: Find #24 coordinates

Translate up 22: add 22 to y-values.
$(-11, -11+22)=(-11,11)$; $(-16,-6+22)=(-16,16)$; $(-16,-16+22)=(-16,6)$

Step4: Find #25 coordinates

90° clockwise rotation: $(x,y)\to(y,-x)$.
$(-11,11)\to(11,11)$; $(-16,16)\to(16,16)$; $(-16,6)\to(6,16)$

Step5: Find #26 coordinates

180° clockwise rotation: $(x,y)\to(-x,-y)$.
$(11,11)\to(-11,-11)$; $(16,16)\to(-16,-16)$; $(6,16)\to(-6,-16)$

Step6: Find #27 coordinates

Reflect over y-axis: flip x-signs.
$(-11,-11)\to(11,-11)$; $(-16,-16)\to(16,-16)$; $(-6,-16)\to(6,-16)$

Step7: Find #28 coordinates

180° clockwise rotation: $(x,y)\to(-x,-y)$.
$(11,-11)\to(-11,11)$; $(16,-16)\to(-16,16)$; $(6,-16)\to(-6,16)$

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. $(-11,11)$, $(-16,16)$, $(-6,16)$