Proving Statements On Triangle Congruence
A two-column proof is a method to prove statements using properties that justify each step. The properties are called reasons. There are two key components of any proof – statements and reasons.
Guide Questions Answer the following questions based on the activity above. 1.) How do you prove triangle congruence?
Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent
2.) Does the information you gathered in the activity beneficial in proving triangle congruence? Why?
Yes, because Congruent triangles are easy to identify when this can apply postulates, known as Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Side-Side-Side (SSS), and theorem known as Angle-Angle-Side (AAS) in determining congruence in triangles.
3.) What congruence postulate did you use to prove that the two triangles are congruent?
The SSS Postulate tells us, If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
- What have you learned from the lesson?
If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
- How can you apply it to real-life situation/s?
It will focus on proving statements on triangle congruence as well as in structural building involving triangles.