PROMPTS: TURN TO PAGE S.31 IN YOUR WORKBOOK Look at the picture to the left showing Triangle ABC and Triangle A’B’C’. _____________________ Think about what transformation(s) are needed to map one triangle to the other. Trace Triangle ABC on your transparent copy paper. Can you map one triangle to the other using one or more translations? Can you map one triangle to the other using one or more reflections? Can you map one triangle to the other using a rotation around the origin?

PROMPTS: Begin with (0, 1) as your point of rotation. TURN TO PAGE S.31 IN YOUR WORKBOOK PROMPTS: Begin with (0, 1) as your point of rotation. The images appear to show a rotation of 180 degrees. When using the origin as the point of rotation, what did you notice? _____________________ We are going to experiment with Triangle ABC. The point of rotation is going to be modified from (0,0) to another point. _____________________ RULES: Use the points below as your new point for rotation. (0, 1) (1,0) (-1,0) and (0,-1) Describe how changing to point of rotation works. Will a single 180 degree rotation map it together?

PROMPTS: Begin with (1, 0) as your point of rotation. TURN TO PAGE S.31 IN YOUR WORKBOOK PROMPTS: Begin with (1, 0) as your point of rotation. The images appear to show a rotation of 180 degrees. When using the origin as the point of rotation, what did you notice? _____________________ We are going to experiment with Triangle ABC. The point of rotation is going to be modified from (0,0) to another point. _____________________ RULES: Use the points below as your new point for rotation. (0, 1) (1,0) (-1,0) and (0,-1) Describe how changing to point of rotation works. Will a single 180 degree rotation map it together?

PROMPTS: Begin with (-1, 0) as your point of rotation. TURN TO PAGE S.31 IN YOUR WORKBOOK PROMPTS: Begin with (-1, 0) as your point of rotation. The images appear to show a rotation of 180 degrees. When using the origin as the point of rotation, what did you notice? _____________________ We are going to experiment with Triangle ABC. The point of rotation is going to be modified from (0,0) to another point. _____________________ RULES: Use the points below as your new point for rotation. (0, 1) (1,0) (-1,0) and (0,-1) Describe how changing to point of rotation works. Will a single 180 degree rotation map it together?

PROMPTS: Begin with (0, -1) as your point of rotation. TURN TO PAGE S.31 IN YOUR WORKBOOK PROMPTS: Begin with (0, -1) as your point of rotation. The images appear to show a rotation of 180 degrees. When using the origin as the point of rotation, what did you notice? _____________________ We are going to experiment with Triangle ABC. The point of rotation is going to be modified from (0,0) to another point. _____________________ RULES: Use the points below as your new point for rotation. (0, 1) (1,0) (-1,0) and (0,-1) Describe how changing to point of rotation works. Will a single 180 degree rotation map it together?

PROMPTS: TURN TO PAGE S.33 IN YOUR WORKBOOK What does it mean to translate along vector FG? Describe how vector FG and vector HI are different. When using a ray as a vector, how do you know where your movement should begin?

PENCILS DOWN. THIS PAGE IS MISSING IN YOUR WORKBOOK. TURN TO PAGE S.34 PROMPTS: LABEL the translation along vector FG Triangle A’B’C’. LABEL the translation along vector HI. Triangle A’’B’’C’’. What does it mean to translate along vector FG? PENCILS DOWN. THIS PAGE IS MISSING IN YOUR WORKBOOK. A’’ What does it mean to translate along vector JK? A’ Describe vector FG. What movements do you make on the coordinate plane when translating Triangle ABC along Vector FG? B’’ B’ C’’ C’ Describe vector JK. What movements do you make on the coordinate plane when translating Triangle A’B’C’ along Vector JK?

PROMPTS: A couple of points are shown to get you started. TURN TO PAGE S.35 IN YOUR WORKBOOK PROMPTS: What does it mean to translate along vector GH? What does it mean to translate along vector JI? LABEL the new image translated along vector GH as A’B’C’D’E’F’. LABEL the new image translated along vector GH as A’’B’’C’’D’’E’’F’’. A’ E’ A couple of points are shown to get you started.

PROMPTS: What does it mean to translate along vector CD? How would you describe vector CD using words such as up, down, left, right, etc? Complete the statement below: When I translate along vector CD, I travel ____ units __________ and ____ units __________. If you retrace your steps and work backwards, you would travel ______ units ____________ and ______ units ___________.

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