Exploring SSS and SAS Congruence Theorems

The video tutorial covers the concepts of SSS (Side-Side-Side) and SAS (Side-Angle-Side) congruence in triangles. It explains that congruent triangles have equal side lengths and angle measures. The SSS congruence criterion is discussed, where all three sides of one triangle are equal to the corresponding sides of another triangle, making them congruent. The SAS congruence criterion is also explained, where two sides and the included angle of one triangle are equal to the corresponding parts of another triangle, ensuring congruence. The tutorial emphasizes the importance of identifying equal sides and angles to determine triangle congruence.

What does it mean when two angles are congruent?

• They are in different triangles.

• They have the same measure.

• They are in the same triangle.

• They have different measures.

If two triangles are congruent, what can be said about their sides and angles?

• Only their sides are equal.

• Only their angles are equal.

• Both their sides and angles are equal.

• Neither their sides nor their angles are equal.

What does SSS stand for in triangle congruence?

• Side-Side-Angle

• Side-Side-Side

• Side-Angle-Angle

• Side-Angle-Side

What do tick marks on the sides of a triangle indicate?

• The sides are not equal.

• The sides are equal.

• The angles are not equal.

• The angles are equal.

How many sides need to be equal for two triangles to be congruent by SSS?

• One side

• Two sides

• Three sides

• Four sides

In SSS congruence, if all three sides of one triangle are equal to all three sides of another triangle, what can be concluded?

• The triangles are not congruent.

• The triangles are congruent.

• Only one side is congruent.

• Only the angles are congruent.

What does SAS stand for in triangle congruence?

• Side-Angle-Angle

• Side-Side-Angle

• Side-Angle-Side

• Side-Side-Side

In SAS congruence, where must the angle be located?

• At the vertex opposite the sides

• Outside the triangle

• Between the two sides

• At the end of the sides

For SAS congruence, how many sides and angles need to be equal?

• Three sides and no angles

• No sides and three angles

• Two sides and one angle

• One side and two angles

What does SAS congruence tell us about the rest of the sides and angles of the triangles?

• They will not be equal.

• Only the sides will be equal.

• Only the angles will be equal.

• They will be equal as well.