specifically the very same 3 sides and precisely the same three angles.

But we don"t need to understand all three sides and also all 3 angles ...normally three out of the six is sufficient.

Tbelow are five means to find if two triangles are congruent: SSS, SAS, ASA, AAS and also HL.

You are watching: What other information do you need in order to prove the triangles congruent using the sas

## 1. SSS (side, side, side) SSS means "side, side, side" and also implies that we have two triangles through all 3 sides equal.

For example: is congruent to: (See Solving SSS Triangles to find out more)

If three sides of one triangle are equal to 3 sides of another triangle, the triangles are congruent.

## 2. SAS (side, angle, side) SAS stands for "side, angle, side" and suggests that we have two triangles wright here we understand 2 sides and also the consisted of angle are equal.

For example: is congruent to: (See Solving SAS Triangles to uncover out more)

If 2 sides and also the included angle of one triangle are equal to the matching sides and also angle of another triangle, the triangles are congruent.

## 3. ASA (angle, side, angle) ASA means "angle, side, angle" and also indicates that we have actually two triangles wbelow we know 2 angles and also the consisted of side are equal.

For example: is congruent to: (See Solving ASA Triangles to uncover out more)

If 2 angles and also the contained side of one triangle are equal to the matching angles and side of another triangle, the triangles are congruent.

## 4. AAS (angle, angle, side) AAS stands for "angle, angle, side" and also indicates that we have actually 2 triangles wright here we recognize 2 angles and the non-contained side are equal.

For example: is congruent to: (See Solving AAS Triangles to discover out more)

If 2 angles and also the non-had side of one triangle are equal to the equivalent angles and side of an additional triangle, the triangles are congruent.

## 5. HL (hypotenusage, leg)

This one applies only to appropriate angled-triangles! or HL stands for "Hypotenusage, Leg" (the longest side of a right-angled triangle is called the "hypotenuse", the other 2 sides are dubbed "legs")

It suggests we have actually two right-angled triangles with

the exact same size of hypotenuse and the exact same length for one of the various other 2 legs.

It doesn"t matter which leg considering that the triangles might be rotated.

For example: is congruent to: (See Pythagoras" Theorem to discover out more)

If the hypotenusage and also one leg of one right-angled triangle are equal to the matching hypotenusage and also leg of an additional right-angled triangle, the two triangles are congruent.

## Caution! Don"t Use "AAA"

AAA indicates we are provided all three angles of a triangle, but no sides.

See more: 10000*.08 - 10 Per Bag This is not enough information to decide if 2 triangles are congruent!

Due to the fact that the triangles can have actually the very same angles however be different sizes: is not congruent to: Without discovering at leastern one side, we can"t be sure if two triangles are congruent.

Congruent Congruent Triangles Similar Comparable Triangles Finding Comparable Triangles Trigonomeattempt Index