![]() Even after our practice on corresponding parts, students struggle to come up with the steps for their proofs. Congruent Triangles Geometry Givens Cheat SheetĪfter the triangle congruence foldable, I have my students add in a cheat sheet for interpreting givens. If they are spread out, then it’s Angle-Angle-Side. The trick that I teach my students for this is to determine if the angles and side are all on one side of the triangle. Since there’s two angles and one side for both theorems, students struggle to differentiate between them. But every year the biggest sticking point for students is the difference between Angle-Side-Angle and Angle-Angle-Side. Students learn to count on the number of sides and angles that are congruent to identify which postulate or theorem proves triangles congruent. Instead, we complete a foldable and practice identifying these relationships. Students ended up confused, and we actually wasted at least two class periods. In the past, I tried a few different activities for students to discover these relationships. Our next lesson is on the postulates and theorems that prove triangle congruence. After this practice, I tell students that they are one step short of a completed proof! Triangle Congruence Then, students look for vertical angles and reflexive sides, while writing out congruence statements for everything that they find along with its reason. Students are given information about what is congruent, or sometimes they are given information about parts that bisect and midpoints. These practice questions are mini-proofs. Students grasp congruence statements quickly, so we move on to practice marking diagrams. It can help decode some tricky questions. However, I like to explain to students that it’s important to know about how order effects congruence statements when they are given information. Proofs are difficult enough for students without adding more rules. ![]() ![]() I will not take credit from students for identifying correct parts of a triangle, but with the vertices not in the correct order. However, when it comes time to do proofs, I de-emphasize the order. For these examples, we prioritize the order of corresponding vertices in our congruence statements. Using two triangles, we complete congruence statements to practice. To start, we define corresponding parts and then start to analyze congruence statements. This lesson is largely a repeat of the transformations lesson on congruence. Keep reading to learn all about this triangles geometry interactive notebook unit. In this unit, we start with congruence and proofs, and then lead into triangle properties. I love to follow up our transformations unit with our triangles unit. Don’t you just love it when things come together? That’s how I feel about transformations and congruent triangle proofs.
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