Exploring Congruence Statements and Corresponding Parts of Triangles

What is the first step in determining if two triangles are congruent?

• Write a congruence statement

• Check if all sides are equal

• Identify corresponding sides and angles

• Check if all angles are equal

Which property helps in identifying the third pair of congruent sides in the first pair of triangles?

• Associative Property

• Symmetric Property

• Transitive Property

• Reflexive Property

In the first pair of triangles, which side of triangle ABC is congruent to side AD of triangle ADC?

• BD

• AC

• AB

• BC

Which angles are labeled as congruent in the first pair of triangles?

• Angle 2 and Angle 4

• Angle 1 and Angle 2

• Angle 1 and Angle 3

• Angle 3 and Angle 4

What is the congruence statement for the first pair of triangles?

• Triangle ABC ≅ Triangle DCA

• Triangle ABC ≅ Triangle ADC

• Triangle ABC ≅ Triangle CAD

• Triangle ABC ≅ Triangle ACD

Which pair of angles is identified as congruent in the second pair of triangles?

• Angle D and Angle E

• Angle A and Angle E

• Angle B and Angle D

• Angle C and Angle F

What is the congruence statement for the second pair of triangles?

• Triangle ABC ≅ Triangle EDC

• Triangle ABC ≅ Triangle CDE

• Triangle ABC ≅ Triangle ECD

• Triangle ABC ≅ Triangle DEC

Which side of triangle ABC is congruent to side ED of triangle DEC?

• AB

• BC

• BD

• AC

Which angle in triangle ABC is congruent to angle D in triangle DEC?

• Angle B

• Angle C

• Angle A

• Angle E

What is the key part to remember when writing congruence statements for angles?

• The order of letters

• The middle letter

• The first letter

• The last letter