What information is necessary to prove two triangles are similar by the SAS similarity theorem? You need to show that **two sides of one triangle are proportional to two corresponding sides of another triangle, with the included corresponding angles being congruent**.

You know two pairs of sides that are congruent. What else do you need to prove the triangles congruent by SSS? **If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle**, then the two triangles are congruent.

Vertical Angles Congruence Theorem

SSS or Side-Side-Side Similarity**If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar**.

In Euclidean geometry: Congruence of triangles. … first such theorem is the side-angle-side (SAS) theorem: **If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent**.

You need **at least one pair of congruent corresponding sides** to prove two triangles are congruent. If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

What information is necessary to prove two triangles are similar by the SAS similarity theorem? You need to show that **two sides of one triangle are proportional to two corresponding sides of another triangle, with the included corresponding angles being congruent**.

SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. **If three sides of one triangle are equal to three sides of another triangle**, the triangles are congruent.

You may be tempted to think that given two sides and a non-included angle is enough to prove congruence. But there are two triangles possible that have the same values, so **SSA is not sufficient to prove congruence**.

Answer. Answer: Also criterion for congruence of triangle are SAS ( side - angle - side ) ,ASA ( angle - side- angle ) ,SSS ( side - side - side ) and RHS ( right angle - hytenuse - side ) . So **SSA** is not a criterion for congruence of triangle .

are congruent

Using the SSS Formula, **the congruency or similarity of any two triangles can be checked when two sides and the angle between these sides for both the triangles follow the required criterion**. There are different SSS triangle formulas used to prove the congruence or similarity between two triangles.

Q. What is always the 1st statement in reason column of a proof? **Angle Addition Post**.

**Another way to prove triangles are similar is by SSS, side-side-side**. If the measures of corresponding sides are known, then their proportionality can be calculated. If all three pairs are in proportion, then the triangles are similar.

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- 18-Jun-2022
- Performance Marketing

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