- deriving proofs based on theorems and postulates about congruent triangles
- solving problems.
[CN, PS, R, V]
| Note: It is intended that students be allowed to explore and use different styles of proofs, including paragraph form and two-column proofs. The emphasis should be on the logic used and the communication of that logic and not on the format of the proofs themselves. | |
| (a) |
Identify and describe situations relevant to self, family, or community that involve parallel lines cut by transversals. |
| (b) |
Develop, generalize, explain, apply, and prove relationships between pairs of angles formed by transversals and parallel lines, with and without the use of technology. |
| (c) |
Prove and apply the relationship relating the sum of the angles in a triangle. |
| (d) |
Generalize, using inductive reasoning, a rule for the relationship between the sum of the interior angles and the number of sides (n) in a polygon, with or without technology. |
| (e) |
Apply knowledge of angles formed by parallel lines and transversals to identify and correct errors in a given proof. |
| (f) |
Explore and verify whether or not the angles formed by non-parallel lines and transversals create the same angle relationships as those created by parallel lines and transversals. |
| (g) |
Solve situational problems that involve:
|
| (h) |
Develop, generalize, explain, and apply strategies for constructing parallel lines. |
