# How can you tell if triangles are congruent?

Space and AstronomyAAS stands for “angle, angle, side” and means that we have two triangles where we know two angles and the non-included side are equal. **If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle**, the triangles are congruent.

## What are the 4 ways to prove triangles are congruent?

Two triangles are said to be congruent if and only if we can make one of them superpose on the other to cover it exactly. These four criteria used to test triangle congruence include: Side – Side – Side (SSS), Side – Angle – Side (SAS), Angle – Side – Angle (ASA), and Angle – Angle – Side (AAS).

## What is SSS SAS ASA AAS?

SSS (side-side-side) All three corresponding sides are congruent. SAS (side-angle-side) Two sides and the angle between them are congruent. ASA (angle-side-angle)

## Is AAS congruent?

Another shortcut is angle-angle-side (AAS), where **two pairs of angles and the non-included side are known to be congruent**.

## Is aas a congruence rule?

In geometry, AAS means angle angle side and is **one of the congruence theorems** among the 5 different theorems that prove the congruency of two triangles.

## How do you know if a postulate is congruent?

**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.
- 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.

## Is AAS and ASA same?

**AAS congruence criterion is same as ASA congruence criterion**.

## Is HL congruent?

What is the HL Postulate? The HL Postulate states that **if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent**.

## Is hypotenuse leg congruent?

The hypotenuse leg theorem states that **two right triangles are congruent if the hypotenuse and one leg of one right triangle are congruent to the other right triangle’s hypotenuse and leg side**.

## How do you find a hypotenuse?

Video quote: *Right you can label however you like to just know that it's leg squared plus leg squared is going to equal your hypotenuse squared. So two square root of two squared.*

## How do you find the congruence postulate of a triangle?

If the hypotenuse and one of the legs (sides) of a right triangle are congruent to hypotenuse and corresponding leg of the other right triangle, the two triangles are said to be congruent. If all three sides of a triangle are congruent to corresponding three sides of other triangle then the two triangles are congruent.

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