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 translation

Translation down: $(x,y)\to(x,y-22)$
$(11,11)\to(11,11-22)=(11,-11)$
$(16,16)\to(16,16-22)=(16,-6)$
$(16,6)\to(16,6-22)=(16,-16)$

Step2: Verify #23 reflection

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

Step3: #24 translation up

Translation up: $(x,y)\to(x,y+22)$
$(-11,-11)\to(-11,-11+22)=(-11,11)$
$(-16,-6)\to(-16,-6+22)=(-16,6)$
$(-16,-16)\to(-16,-16+22)=(-16,16)$

Step4: #25 90° clockwise rotation

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

Step5: #26 180° clockwise rotation

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

Step6: #27 reflect over y-axis

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

Step7: #28 180° clockwise rotation

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

Answer:

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