Proving Overlapping Triangles Congruent

What is the first step when dealing with overlapping triangles?

• Identify the midpoints

• Separate the triangles

• Find the area

• Mark the angles

Which property is used when a segment is shared by both triangles?

• Reflexive Property

• Symmetric Property

• Transitive Property

• Associative Property

In the first example, which postulate is used to prove the triangles are congruent?

• Side-Angle-Side

• Angle-Side-Angle

• Angle-Angle-Side

• Side-Side-Side

What is the next step after separating the triangles?

• Calculate the perimeter

• Find the area

• Identify the given information

• Label the angles

In the second example, which angle is shared by both triangles?

• Angle B

• Angle C

• Angle D

• Angle A

Which postulate is used to prove congruence in the second example?

• Side-Side-Side

• Angle-Side-Angle

• Angle-Angle-Side

• Side-Angle-Side

What does having repeated midpoints in a figure indicate?

• Addition

• Subtraction

• Multiplication or Division

• Reflection

In the third example, which property is used to prove congruence after identifying midpoints?

• Transitive Property

• Symmetric Property

• Reflexive Property

• Division

What is the final step in proving triangles congruent?

• Calculate the angles

• Find the area

• Use the appropriate postulate

• Identify the shared parts

In the final example, which property is used to identify shared parts?

• Associative Property

• Reflexive Property

• Symmetric Property

• Transitive Property