Asa geometry1/27/2024 ![]() For instance, use this video by Khan Academy to introduce triangle congruence by ASA and AAS. If you have the technical means in your classroom, enrich your lesson on triangle congruence by ASA and AAS by including multimedia material, such as videos. Therefore, there is triangle congruence by angle-angle-side or AAS. Why are these two triangles congruent by the AAS theorem? We notice that we have two congruent angles, and the side is outside or not included between these two angles. Present an example of two triangles that are congruent by the AAS postulate on the whiteboard, such as the following two triangles:Īsk students to reflect again. We call this triangle congruence by AAS or angle-angle-side. Point out that if two angles and their non-included side of one triangle are congruent to the corresponding two angles and their non-included side of another triangle, the two triangles are congruent. Now you can move on to explain triangle congruence by AAS. Why are these two triangles congruent by the ASA theorem? We notice that the congruent side is in between the two congruent angles, that is, there is triangle congruence by angle-side-angle or ASA. Present an example of two triangles that are congruent by the ASA postulate on the whiteboard, such as the following two triangles:Īsk students to reflect. We call this triangle congruence by ASA or angle-side-angle. What Is Triangle Congruence by ASA and AAS?Įxplain to students that if two angles and their included side of one triangle are congruent to the two angles and their included side of another triangle, then the two triangles are said to be congruent. While congruent figures have the same shape and size, similar figures have the same shape, but different sizes. You can also remind students of the difference between congruent and similar figures. Point out that these two figures are congruent because we can easily observe that they have the same shape (they are both pentagons) and they also have the same size. Draw an example on the whiteboard of two figures that are congruent, such as the figures below: Remind students that we define congruent figures as figures that have the same shape and the same size.Īlso, add that the corresponding angles of two congruent figures are equal and the corresponding sides are equal. You can start your lesson on triangle congruence by ASA and AAS by providing a brief review of what congruent figures are. How to Teach Triangle Congruence by ASA and AAS Review Congruent Figures If you’re teaching this topic and wondering how to make these lessons accessible and exciting for your students – we’ve got you covered! Use the teaching strategies that we share in this article and make the class atmosphere as inviting as it gets! More specifically, they learn how to prove triangles are congruent using ASA and AAS. After students familiarize themselves with congruent figures, they move on to triangle congruence by ASA and AAS.
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