What is the SAS Condition for Congruence? | Don't Memorise

TL;DR

Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.

Transcript

in the previous video we understood the tri s congruence condition let's remove the s in between and understand the SAS condition for congruency as you would have already guessed SAS means side angle side but there's something important we need to know here the angle must be included between the two sides given we will understand what included mean... Read More

Key Insights

• 🔺 SAS (Side Angle Side) is a condition for determining the congruence of triangles.
• 🙃 The included angle must be positioned between the two given sides for the SAS condition to be applicable.
• 🙃 If the angle is not included between the sides, the SAS condition may or may not work.
• 🔺 Congruent triangles have the same side lengths and angles.
• 🔺 The SAS condition allows us to determine if two triangles are congruent based on their side lengths and included angles.
• 🈸 Triangle congruence is important in various mathematical and geometric applications.
• 👍 The SAS condition is a useful tool in proving geometric theorems and solving related problems.

Questions & Answers

Q: What is the SAS condition for congruency?

The SAS condition states that two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.

Q: What does "included angle" mean?

The included angle refers to the angle that is located between the two given sides.

Q: Can the SAS condition work if the angle is not included between the sides?

No, the SAS condition may or may not work if the angle is not included between the sides.

Q: Are the two triangles congruent if they have the same sides but the angle is not included?

No, if the angle is not included between the sides, the triangles may or may not be congruent.

Summary & Key Takeaways

• The SAS (Side Angle Side) condition for congruency states that two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.

• The included angle refers to the angle that is between the two given sides.

• If the angle is not included between the sides, the SAS condition may or may not work.