L2.3 - Congruent Triangles, Part 1
Learning Intentions and Success Criteria
[color=#ff0000]We are learning to:[/color][br][list][*]Justify (orally and in writing) that two triangles are congruent if and only if all corresponding sides and angles are congruent.[/*][/list][color=#ff0000]We are successful when we can:[/color][br][list][*]Explain why if all the corresponding sides and angles of two triangles are congruent, then the triangles are congruent.[/*][/list]
3.1: True or . . . Sometimes True?: Triangles
∆ABC ≅ ∆A'B'C'[br][br]If triangle ABC is congruent to triangle A’B’C’. . .[br]1. What must be true?
2. What could possibly be true?
3. What definitely can’t be true?
[color=#9900ff]Open BOOK L2.3 - Congruent Triangles, Part 1[/color]
3.2: Invisible Triangles
Transformer Notes
If you are the Player 1 - transformer, write your notes about which parts correspond in the triangles that your partner tells you.
Triangles Notes
If you are the Player 2 - triangles, write your notes about the instructions from your partner - transformer.
3.3: Why Do They Coincide?
1. We know that rays [i]A”B”[/i] and [i]DE[/i] line up because we said they had to, but why do points [i]B”[/i] and [i]E[/i] have to be in the exact same place?
2. Finally, reflect the image, triangle [i]A”B”C”[/i] across [i]DE[/i].[br] a. How do we know that now, the image of ray [i]A”C”[/i] and ray [i]DF[/i] will line up?
b. How do we know that the image of point [i]C”[/i] and point [i]F[/i] will line up exactly?
Learning Intentions and Success Criteria
[color=#ff0000]We are learning to:[/color][br][list][*]Justify (orally and in writing) that two triangles are congruent if and only if all corresponding sides and angles are congruent.[/*][/list][color=#ff0000]We are successful when we can:[/color][br][list][*]Explain why if all the corresponding sides and angles of two triangles are congruent, then the triangles are congruent.[/*][/list]
Cool-Down: Reflecting on Proof
1. What rigid transformation will take triangle [i]GBC[/i] onto triangle [i]ABC[/i]?
2. Explain why [i]G’[/i] will coincide with [i]A[/i].
3. Is triangle [i]GBC[/i] congruent to triangle [i]ABC[/i]? Explain your reasoning.
