Explain how you know the triangles are congruent using one of the congruency rules (SSS, SAS, AAS, ASA).
hmmm. I'd say check the corresponding sides and angles ...
how do I do that
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To determine if the triangles are congruent, we can use one of the congruency rules, such as SSS (Side-Side-Side), SAS (Side-Angle-Side), AAS (Angle-Angle-Side), or ASA (Angle-Side-Angle). Let me explain how each of these rules works:
1. SSS (Side-Side-Side):
If all three sides of one triangle are congruent to the corresponding three sides of another triangle, we can conclude that the triangles are congruent.
2. SAS (Side-Angle-Side):
If two corresponding sides of one triangle are congruent to the corresponding sides of another triangle and the included angles (the angles formed by the two sides) are also congruent, we can conclude that the triangles are congruent.
3. AAS (Angle-Angle-Side):
If two corresponding angles of one triangle are congruent to the corresponding angles of another triangle, and the included side (the side between the two angles) is also congruent, then we can conclude that the triangles are congruent.
4. ASA (Angle-Side-Angle):
If two corresponding angles of one triangle are congruent to the corresponding angles of another triangle, and one corresponding side is congruent, then we can conclude that the triangles are congruent.
To use any of these congruency rules, we need to identify the congruent sides and angles between the two triangles. By comparing the measurements or characteristics of the sides and angles of the triangles, and verifying if they satisfy the conditions of one of the congruency rules, we can determine whether the triangles are congruent or not.