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## What is an example of SSS?

The side – side – side rule (SSS) states that: Two triangles are congruent if their corresponding three side lengths are equal. Illustration: Triangle ABC and PQR are said to be congruent (△ABC ≅△ PQR) if length AB = PR, AC = QP, and BC = QR.

### What are the 5 proofs that we can use to prove triangles are congruent?

There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.

• SSS (side, side, side) SSS stands for “side, side, side” and means that we have two triangles with all three sides equal.
• SAS (side, angle, side)
• ASA (angle, side, angle)
• AAS (angle, angle, side)
• HL (hypotenuse, leg)

How are SSS and SAS different?

If all three pairs of corresponding sides are congruent, the triangles are congruent. This congruence shortcut is known as side-side-side (SSS). Another shortcut is side-angle-side (SAS), where two pairs of sides and the angle between them are known to be congruent.

What are three ways you can prove that triangles are similar?

How to Prove that Triangles are Similar If there are vertical angles they are congruent. If there are corresponding angles between parallel lines, they are congruent. If there are congruent triangles, all their angles are congruent.

## What are way to prove that two right triangles are congruent?

Two right triangles can be considered to be congruent, if they satisfy one of the following theorems . If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent.

### What are the 5 congruency theorems for triangles?

both triangles are

• and side.
• and angle.
• and side.
• HL – hypotenuse and leg.
• What is true about triangles that are congruent?

Congruent Triangles When two triangles are congruent they will have exactly the same three sides and exactly the same three angles . The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.