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Download 4-2 = Congruent Triangle Theorems
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Congruent Triangles Remember … • In congruent triangles, ALL corresponding sides and angles are congruent. In the next few sections we’ll learn some shortcuts so you only need to know 3 pairs of sides or angles (instead of 6) to show the triangles are congruent. SSS Postulate SSS Postulate Stands for side—side—side If all 3 sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent. SSS Postulate • If the sides are the same, the angles will automatically be the same too. Why? SAS Postulate SAS Postulate Stands for side—angle—side If 2 sides and the angle between them in one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. … So here the triangles AREN’T congruent. SAS Postulate Explain why QPR TSR. REMEMBER • SSS • SAS