What is an Included Side of a Triangle - Congruent Triangles

The video tutorial discusses congruence in triangles, focusing on the Side Angle Side (SAS) and Angle Side Angle (ASA) theorems. It explains the importance of included angles and sides in proving congruence and highlights the conditions under which triangles can be considered congruent using these theorems.

What is essential for proving triangle congruence using the Side-Angle-Side (SAS) postulate?

• Two equal angles

• An angle between two sides

• Two equal sides

• A side between two angles

In the context of triangle congruence, what is an included side?

• A side that is shorter than the other sides

• A side that is longer than the other sides

• A side that is between two angles

• A side that is not between any angles

Which postulate requires a side to be between two angles to prove congruence?

• Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

What is the key difference between SAS and ASA postulates?

• SAS requires two angles and a side, ASA requires two sides and an angle

• SAS and ASA both require the same configuration

• SAS requires a side between two angles, ASA requires an angle between two sides

• SAS requires an angle between two sides, ASA requires a side between two angles

Why is it important to have an included side in the ASA postulate?

• To ensure the side is longer than the other sides

• To ensure the angles are equal

• To ensure the triangles are similar

• To ensure the side is between the two angles