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There are some cases when SSA can imply triangle congruence, but not always. This is why it’s not like the other triangle congruence postulates/criteria.SSA is **not a postulate** because two sides and a non-included angle do not guarantee the triangles to be congruent.However, knowing only Side-Side-Angle (SSA) does not work because **the unknown side could be located in two different places**. Knowing only Angle-Angle-Angle (AAA) does not work because it can produce similar but not congruent triangles.

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## Is SSA a congruence postulate?

SSA is **not a postulate** because two sides and a non-included angle do not guarantee the triangles to be congruent.

## Why SSA congruence is not possible?

However, knowing only Side-Side-Angle (SSA) does not work because **the unknown side could be located in two different places**. Knowing only Angle-Angle-Angle (AAA) does not work because it can produce similar but not congruent triangles.

### More on why SSA is not a postulate | Congruence | Geometry | Khan Academy

### Images related to the topicMore on why SSA is not a postulate | Congruence | Geometry | Khan Academy

## Is SSA a thing in geometry?

**The acronym SSA (side-side-angle) refers to the criterion of congruence of two triangles**: if two sides and an angle not include between them are respectively equal to two sides and an angle of the other then the two triangles are equal.

## Is SAA a congruence theorem?

Angle-Angle-Side (AAS or SAA) Congruence Theorem: **If two angles and a non-included side in one triangle are congruent to two corresponding angles and a non-included side in another triangle, then the triangles are congruent**.

## Is SSA a criterion for congruence of triangle Class 9?

And the criterion for congruence of the triangle are SAS, ASA, SSS, and RHS. **SSA is not the criterion for congruency of a triangle**. Hence, option C is the correct answer.

### Why SSA and AAA Don’t Work as Congruence Shortcuts

### Images related to the topicWhy SSA and AAA Don’t Work as Congruence Shortcuts

## Is there SAA postulate?

Definition Of SAA Congruency Postulate

**If two angles and the included side of one triangle are congruent to the two angles and the included side of another triangle, then the two triangles are congruent**.

## See some more details on the topic Does SSA work as a congruence postulate? here:

### Why SSA and AAA Don’t Work as Congruence Shortcuts

Four shortcuts allow students to know two triangles must be congruent: SSS, SAS, ASA, and AAS. Knowing only side-side-angle (SSA) does not work because the …

### Congruent Triangles – Why SSA doesn’t work

You may be tempted to think that given two sides and a non-included angle is enough to prove congruence. But there are two triangles possible that have the …

### Same as the Angle Side Side Postulate (ASS) – Math …

There is NO SUCH THING!!!! The ASS Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent.

### Why SSA & AAA are not Congruence Shortcuts? – Online Math …

Why SSA and AAA Don’t Work as Congruence Shortcuts? There are four shortcuts allow students to know two triangles must be congruent: SSS, SAS, ASA, and AAS.

## What is the SAA congruence postulate?

Theorem 6.19: SAA Congruence Theorem: **If two angles of a triangle and a side opposite one of the two angles are congruent to the corresponding angles and side of another triangle, then the two triangles are congruent**.

## What is SAA postulate state?

The Angle-Side-Angle Postulate (ASA) states that **if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent**.

## Which is not a criteria for congruence of triangle?

Also,criterion for congruence of triangle are SAS (side-angle-side),ASA (angle-side-angle),SSS(side-side-side) and RHS (right angle-hytenuse-side). So. **SSA** is not a criterion for congruence of triangles.

### Triangle Congruence: Does Angle-Side-Side Work?

### Images related to the topicTriangle Congruence: Does Angle-Side-Side Work?

## Which of the following is not a criterion for congruence of triangles a SAS B SSA C ASA D SSS?

**SSA** is not a criterion for Congruency. If two triangles seem to be congruent by SSA rule, they cannot be said congruent.

## What is SSS SAS ASA AAS?

Conditions for Congruence of Triangles:

SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side) RHS (Right angle-Hypotenuse-Side)

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