Exploring SSS and SAS in Geometry

The video tutorial covers the Side-Side-Side (SSS) and Side-Angle-Side (SAS) postulates for proving triangle congruence. It explains the reflexive property and provides examples to illustrate these concepts. The tutorial also includes exercises and proofs to help students understand how to apply these postulates in different scenarios.

What are the two postulates introduced in this section?

• Angle-Side-Angle and Angle-Angle-Side

• Side-Side-Side and Side-Angle-Side

• Side-Angle-Side and Angle-Angle-Side

• Side-Side-Side and Angle-Side-Angle

What does the SSS postulate state?

• If three angles of one triangle are congruent to three angles of another triangle, then the triangles are congruent.

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

• If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

• If two sides and an angle of one triangle are congruent to two sides and an angle of another triangle, then the triangles are congruent.

What is a postulate?

• A statement that is always false.

• A statement that is argued to be true but cannot be proven.

• A statement that is proven to be true.

• A statement that is sometimes true.

What does the Reflexive Property state?

• Any side or angle is equal to its corresponding side or angle in another triangle.

• Any two angles of a triangle are equal.

• Any two sides of a triangle are equal.

• Any side or angle is equal to itself.

How can the Reflexive Property be used in proving triangle congruence?

• By showing that all sides of a triangle are equal.

• By showing that two angles of different triangles are equal.

• By showing that a side or angle is equal to itself, especially when triangles share a side.

• By showing that two sides of different triangles are equal.

What is an included angle?

• An angle that is between two sides of a triangle.

• An angle that is not part of the triangle.

• An angle that is outside the triangle.

• An angle that is equal to another angle in a different triangle.

What does the SAS postulate state?

• If two sides and an included angle of one triangle are congruent to two sides and an included angle of another triangle, then the triangles are congruent.

• If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

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

• If three angles of one triangle are congruent to three angles of another triangle, then the triangles are congruent.

What is a two-column proof?

• A method of proving statements using only one column.

• A method of proving statements using two columns: one for statements and one for reasons.

• A method of proving statements using three columns.

• A method of proving statements without any columns.

What is the purpose of a proof in geometry?

• To show all of your work on paper and justify a conclusion.

• To guess the answer without any justification.

• To prove statements without any evidence.

• To show that all triangles are congruent.

What does CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Equal

• Corresponding Parts of Congruent Triangles are Equal