Proving Triangle Congruence

This video tutorial covers the concept of triangle congruence, explaining that congruent triangles have equal angles and side lengths. It introduces the congruence symbol and the importance of order in congruent statements. The video details four main congruence theorems: Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Angle-Angle-Side (AAS). Each theorem is explained with examples, emphasizing the conditions under which triangles are congruent. The tutorial concludes with practice problems to apply these theorems.

What does the congruence symbol represent?

• Exact equality in shape and size

• Difference in angles only

• Inequality between shapes

• Similarity in shapes only

In a congruence statement, what does the order of vertices indicate?

• The size of the triangles

• The type of angles

• The sequence of sides

• Correspondence of vertices between triangles

In the context of congruence, what does 'corresponding' mean?

• Being in opposite positions

• Having different sizes

• Being in a similar position

• Having the same color

What does it mean if two sides are marked with the same number of dashes in a diagram?

• They are parallel

• They are perpendicular

• They are not related

• They are congruent

What is the significance of arcs in a triangle diagram?

• Indicate congruent angles

• Show the largest angle

• Measure the perimeter

• Determine the area

Which theorem states that triangles are congruent if all three pairs of corresponding sides are equal?

• AAS

• ASA

• SAS

• SSS

What is required for triangles to be congruent under the SAS theorem?

• Two angles and the included side

• Three sides

• Two sides and the included angle

• Two angles and one side

For the ASA congruence theorem, where must the side be located?

• Between the two angles

• Outside the two angles

• Adjacent to one angle only

• Anywhere around the angles

Which theorem is applied when two angles and a non-included side are congruent?

• AAS

• SAS

• SSS

• ASA

How do you determine the correct congruence theorem to apply in a problem?

• By the size of the triangles

• By guessing and checking

• By the color of the triangles

• By the number of sides and angles given