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: Translate #21 down 22

For point $(x,y)$, new point: $(x, y-22)$

• $(11,11-22)=(11,-11)$; $(16,16-22)=(16,-6)$; $(16,6-22)=(16,-16)$

Step2: Reflect #22 over y-axis

For point $(x,y)$, new point: $(-x,y)$

• $(-11,-11)$; $(-16,-6)$; $(-16,-16)$

Step3: Translate #23 up 22

For point $(x,y)$, new point: $(x, y+22)$

• $(-11,-11+22)=(-11,11)$; $(-16,-6+22)=(-16,6)$; $(-16,-16+22)=(-16,16)$

Step4: Rotate #24 90° clockwise

For point $(x,y)$, new point: $(y,-x)$

• $(11,11)$; $(6,16)$; $(16,16)$

Step5: Rotate #25 180° clockwise

For point $(x,y)$, new point: $(-x,-y)$

• $(-11,-11)$; $(-6,-16)$; $(-16,-16)$

Step6: Reflect #26 over y-axis

For point $(x,y)$, new point: $(-x,y)$

• $(11,-11)$; $(6,-16)$; $(16,-16)$

Step7: Rotate #27 180° clockwise

For point $(x,y)$, new point: $(-x,-y)$

• $(-11,11)$; $(-6,16)$; $(-16,16)$

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