# What is SSS theorem in geometry?

## What is SSS theorem in geometry?

of Wisconsin. When two triangles are congruent, all three pairs of corresponding sides are congruent and all three pairs of corresponding angles are congruent. If all three pairs of corresponding sides are congruent, the triangles are congruent. This congruence shortcut is known as side-side-side (SSS).

What is SSS theorem example?

Side Side Side Postulate-> If the three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are congruent. Examples : 1) In triangle ABC, AD is median on BC and AB = AC.

### What is the SSS rule?

SSS (Side-Side-Side) If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.

How do you use SSS in geometry?

SSS (side, side, side) If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

#### How do you prove SSS theorem?

The SSS Theorem If the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent. Our proof, after that of Euclid, is based on copying one of the triangles and then showing that the other triangle is congruent to this copy.

What is the example of SSS similarity 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. Thus, if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.

## What are the examples of SSS congruence?

Example

• All 3 sides are congruent. ZX = CA (side) XY = AB (side) YZ = BC (side)
• Therefore, by the Side Side Side postulate, the triangles are congruent.

What is SSS test?

Definition: Triangles are similar if all three sides in one triangle are in the same proportion to the corresponding sides in the other. This (SSS) is one of the three ways to test that two triangles are similar .

### How can you determine if the two triangles are congruent by SSS?

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.

What is the SSS postulate?

The SSS (Side-Side-Side) postulate states that if the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent.

#### How do you find missing length in geometry?

To find the missing length you must break this shape into two other shapes. A square, and a right triangle. To do this you take the top value and subtract the bottom.

What is SS theorem?

The SS Theorem. An increase in the price of the capital-intensive good increases the return to capital and decreases the return to the other factor (labor). Likewise, an increase in the price of the labor-intensive good increases wage and reduces rent.