Q: Is this statement true or falseIf two sides and one angle of one triangle are congruent to two sides and one angle of another triangle, then the triangles are congruent by the Side-Angle-Side Postulate?

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That's not a postulate. It's a theorem. And you have stated it.

The SAS (Side-Angle-Side) postulate.

Only if the congruent angle is the angle between the two congruent sides (SAS postulate).

similar

When all of their corresponding angles are congruent (in any triangle, in fact) then the triangles are similar. Similarity postulate AAA. (angle-angle-angle)

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That's not a postulate. It's a theorem. And you have stated it.

The SAS (Side-Angle-Side) postulate.

Only if the congruent angle is the angle between the two congruent sides (SAS postulate).

It is a postulate concerning congruent triangles. Two triangles are congruent if the are both right angled (R), their hypotenuses are the same length (H) and one of the sides of one triangle is congruent to a side of the other (S).

SSS is a postulate used in proving that two triangles are congruent. It is also known as the "Side-Side-Side" Triangle Congruence Postulate. It states that if all 3 sides of a triangle are congruent to another triangles 3 sides, then both triangles are congruent.

The Side Side Side or SSS postulate says f three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Pythagorean theorem

H S Postulate This postulate is applicable only to right triangles. If the hypotenuse and any one side of a right triangle are congruent to the hypotenuse and the corresponding side of another right triangle then the two triangles are congruent REGARDS:ZEESHAN ALI

Two congruent triangles.. To prove it, use the SSS Postulate.

The SAS Postulate states if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

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