## How do you identify SSS SAS ASA AAS and HL?

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

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

What is SSS SAS ASA AAS or HL?

SSS, or Side Side Side. SAS, or Side Angle Side. ASA, or Angle Side Side. AAS, or Angle Angle Side. HL, or Hypotenuse Leg, for right triangles only.

### How is HL equivalent to SSS?

Definition: Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles. Notice that, since we know the hypotenuse and one other side, the third side is determined, due to Pythagoras’ Theorem. So this is really a version of the SSS case.

What does ASA SAS and SSS prove?

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal. In this lesson, we will consider the four rules to prove triangle congruence. They are called the SSS rule, SAS rule, ASA rule and AAS rule.

## Does SSA prove congruence?

An SSA congruence theorem does exist. can be used to prove triangles congruent. sides and the corresponding nonincluded angle of the other, then the triangles are congruent.

Does SSA prove similarity?

Are the triangles similar? Explain. While two pairs of sides are proportional and one pair of angles are congruent, the angles are not the included angles. This is SSA, which is not a similarity criterion.

### How do you tell if it’s ASA or AAS?

While both are the geometry terms used in proofs and they relate to the placement of angles and sides, the difference lies in when to use them. ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side.

What is the difference between an AS and an AAS degree?

An Associate of Science (AS) degree is a 2-year degree offered by most community colleges and some 4- year colleges. The Associate of Applied Science (AAS) degree prepares graduates to enter a career immediately after graduation and have been considered terminal degrees.

## What is SSS, SAS, ASA, AAS in geometry?

There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL. SSS stands for “side, side, side” and means that we have two triangles with all three sides equal. For example: (See Solving SSS Triangles to find out more) If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

What does the SSS tell us about a triangle?

The SSS Postulate tells us, If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. Congruence of sides is shown with little hatch marks, like this: ∥.

### What does SAS stand for in math terms?

SAS stands for “side, angle, side” and means that we have two triangles where we know two sides and the included angle are equal.

What does the AAS stand for in triangles?

AAS (angle, angle, side) AAS stands for “angle, angle, side” and means that we have two triangles where we know two angles and the non-included side are equal.