L1.10 - Rigid Transformations
Learning Intentions and Success Criteria
[color=#ff0000]We are learning to:[/color][br][list][*]Comprehend that rigid transformations produce congruent figures by preserving distance and angles.[/*][*]Draw the result of a transformation (in written language) of a given figure.[/*][*]Explain (orally and in writing) a sequence of transformations to take a given figure onto another.[/*][/list][color=#ff0000]We are successful when we can:[/color][br][list][*]Draw the figure's image after the transformation when given a figure and the description of a transformation.[/*][*]Describe the sequence of transformations necessary to take a figure onto another figure.[/*][*]Know that rigid transformations result in congruent figures.[/*][/list]
10.1: Notice and Wonder: Transformed
What do you notice? What do you wonder?
10.2: What’s the Same?
Draw each rigid transformation. Use the Style Bar to choose a different color for each one.
1. Translate figure [color=#1155cc][b]S[/b][/color] along the line segment [b]v[/b] in the direction shown by the arrow. Color:
2. Reflect figure [b][color=#1155cc]S[/color][/b] across line [b]n[/b]. Color:
3. Reflect figure [b][color=#1155cc]S[/color][/b] across line [b]m[/b]. Color:
4. Translate figure [b][color=#1155cc]S[/color][/b] along the line segment [b]w[/b] in the direction shown by the arrow. Reflect this image across line [b]n[/b]. Color:
5. How are the images the same? How are they different? [br]
10.3: Does Order Matter?
Here is an applet with 3 [b]congruent [/b]L shapes on a grid.
1. Describe a sequence of transformations that will take Figure [b][color=#38761d]A[/color][/b] onto Figure [b][color=#38761d]B[/color][/b].
2. If you reverse the order of your sequence, will the reverse sequence still take [b][color=#38761d]A[/color][/b] onto [b][color=#38761d]B[/color][/b]?
3. Describe a sequence of transformations that will take Figure [b][color=#38761d]A[/color][/b] onto Figure [b][color=#38761d]C[/color][/b].
4. If you reverse the order of your sequence, will the reverse sequence still take [b][color=#38761d]A[/color][/b] onto [b][color=#38761d]C[/color][/b]?
Learning Intentions and Success Criteria
[color=#ff0000]We are learning to:[/color][br][list][*]Comprehend that rigid transformations produce congruent figures by preserving distance and angles.[/*][*]Draw the result of a transformation (in written language) of a given figure.[/*][*]Explain (orally and in writing) a sequence of transformations to take a given figure onto another.[/*][/list][color=#ff0000]We are successful when we can:[/color][br][list][*]Draw the figure's image after the transformation when given a figure and the description of a transformation.[/*][*]Describe the sequence of transformations necessary to take a figure onto another figure.[/*][*]Know that rigid transformations result in congruent figures.[/*][/list]
Cool-Down: How Will That Get There?
Reflect quadrilateral [i]ABCD[/i] across line [i]f[/i].
