Question

1. plot points (11, 11) (16, 16) (16, 6). label this figure #21.
2. translate #21 down 22 units.

label this figure #22.

1. reflect #22 across the y axis.

label this figure #23.

1. translate #23 up 22 units.

label this figure #24.

1. rotate #24 90° clockwise.

label this figure #25.

1. rotate #25 180° clockwise.

label this figure #26.

1. reflect #26 across the y axis.

label this figure #27.

1. rotate #27 180° clockwise.

label this figure #28.

Explanation:

Step1: Verify #22 coordinates

Original #21 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 (reflect #22 over y-axis)

Reflect over y-axis: flip x-sign
$(-11,-11)$, $(-16,-6)$, $(-16,-16)$

Step3: Find #24 (translate #23 up 22)

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 (rotate #24 90° clockwise)

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

Step5: Find #26 (rotate #25 180° clockwise)

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

Step6: Find #27 (reflect #26 over y-axis)

Reflect over y-axis: flip x-sign
$(11,-11)$, $(16,-16)$, $(6,-16)$

Step7: Find #28 (rotate #27 180° clockwise)

180° rotation 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. $(-11,11)$, $(-16,16)$, $(-6,16)$