Angle Congruence and Triangle Proofs

The video tutorial explains a level two angle congruence flowchart proof using a given diagram. It demonstrates how triangles ABD and CBD are congruent by filling out a flowchart. The proof begins by establishing the congruence of angles DBC and DBA, as well as line segments AB and CB, based on given information. The proof is completed by showing that BD is congruent to itself due to a reflexive property, leading to the conclusion that triangles ABD and CBD are congruent by the side-angle-side postulate.

What is the main objective of the angle congruence flowchart proof?

• To find the length of side BD

• To prove that triangles ABD and CBD are congruent

• To calculate the area of triangle ABD

• To determine the angle measures of triangle CBD

What is the first step in the flowchart proof?

• Calculating angles

• Identifying given congruences

• Drawing the diagram

• Measuring line segments

Which angles are given as congruent in the proof?

• Angles DBC and DBA

• Angles ABD and CBD

• Angles DAB and DBC

• Angles ABC and CBD

Why are angles DBC and DBA considered congruent?

• Because they are opposite angles

• Because they are alternate interior angles

• Because it is given in the proof

• Because they are corresponding angles

Which line segments are stated as congruent in the proof?

• AC and BD

• AD and BC

• BD and CD

• AB and CB

What is the reason for the congruence of line segments AB and CB?

• They are bisected by a transversal

• It is given in the proof

• They are perpendicular lines

• They are parallel lines

Which property is used to state that BD is congruent to itself?

• Reflexive property

• Symmetric property

• Associative property

• Transitive property

What is the final reason used to prove triangles ABD and CBD are congruent?

• Side-Angle-Side postulate

• Angle-Side-Angle postulate

• Side-Side-Side postulate

• Angle-Angle-Side postulate

What is the significance of the reflexive property in this proof?

• It shows that two lines are parallel

• It shows that two triangles are similar

• It shows that two angles are equal

• It shows that a segment is congruent to itself

Which of the following is NOT a given in the proof?

• Line segments AB and CB are congruent

• Angles DBC and DBA are congruent

• BD is congruent to itself

• Triangles ABD and CBD are congruent