Side Side Side or SSS criterion is a congruence postulate where the sides of one triangle are equal to the corresponding sides of another triangle. Learn more about the SSS, its theorem, formula, and solve a few examples.

SSS stands for Side-Side-Side theorem, which states that when all three sides of a triangle are equal to all three sides of another triangle.

We now consider the case where the side of two triangles are known to be of the same length. Theorem 2.6.1 2.6. 1: Side-Side-Side (SSS) Theorem. Two triangles are congruent if three sides of one are equal respectively to three sides of the other (SSS = SSS S S S = S S S).

In this section, we will learn two postulates that prove triangles congruent with less information required. These postulates are useful because they only require three corresponding parts of triangles to be congruent (rather than six corresponding parts like with CPCTC). Let’s take a look at the first postulate. SSS Postulate (Side-Side-Side)

In this lesson you’ll prove an important geometric fact: The Side-Side-Side Theorem (SSS). In Activity 1 you will practice by constructing and proving a simpler theorem. In Activity 2, you will construct the superposition of SSS triangles, and you will explain how to use the steps of your construction to prove the SSS Theorem.

BASIC GEOMETRY Section 7.3: Triangle Similarity: AA, SSS, & SAS Proving Triangles are Similar AA ~ Thm: If two angles of one triangle are congruent to two angles in another triangle, then the triangles are similar. SSS ~ Thm: If the 3 sides of one triangle are proportional to 3 sides of another triangle, then the triangles are ~. SAS ~ Thm: If ...

Conditions for the SSS - Side Side Side congruence. Two triangles are said to be congruent if three sides of one triangle are respectively equal to the three sides of the other triangle. Experiment to prove Congruence with SSS: Draw ∆LMN with LM = 3 cm, LN = 4 cm, MN = 5 cm. Also, draw another ∆XYZ with XY = 3cm, XZ = 4cm, YZ= 5cm.

If two triangles have edges with the exact same lengths, then these triangles are congruent. This is called the Side Side Side Postulate, or SSS for short (not to be confused with the Selective …

Using the Side-Side-Side Similarity Theorem In addition to using congruent corresponding angles to show that two triangles are similar, you can use proportional corresponding side lengths. Theorem Side-Side-Side (SSS) Similarity Theorem If the corresponding side lengths of two triangles are proportional, then the triangles are similar. A B

SSS stands for “Side-Side-Side” and refers to a pair of triangles in which the three sides of one triangle are exactly the same lengths as the three sides of the other triangle. On page 1 you’ll construct a triangle using the lengths of the three given segments.