Last week, students studied properties that exist within triangles. We talked about isosceles triangles, midsegments of triangles, the triangle inequality theorem and the side-angle theorem.
This week students will continue our study of triangle congruence. On the first day of the week, students will participate in a review of important concepts and complete a formative assessment to make sure that we're on the right track with our knowledge and to clear up any misconceptions.
Later on in the week, students will explore triangle congruence shortcuts.
In order to say that we know that two polygons are congruent, we need to be able to say that all of their corresponding sides are congruent and all of their corresponding angles are congruent. However, some shortcuts do exist if we are dealing with triangles.
During class this week, students will "discover" some triangle congruence shortcuts. We will then be able to apply this knowledge to formally prove that two triangles are congruent using a two-column proof.
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