Triangle Congruency: SSS and SAS Concepts

What are the two main theorems used to determine if triangles are congruent?

• Angle-Side-Angle (ASA) and Angle-Angle-Side (AAS)

• Side-Side-Side (SSS) and Side-Angle-Side (SAS)

• Side-Angle-Side (SAS) and Angle-Side-Angle (ASA)

• Side-Side-Side (SSS) and Angle-Angle-Angle (AAA)

In the SAS theorem, what must be true about the angle?

• It must be between the two sides being compared.

• It must be a right angle.

• It must be the largest angle in the triangle.

• It must be an exterior angle.

When using the SAS theorem, what is the correct order of elements?

• Angle, Angle, Side

• Side, Angle, Side

• Angle, Side, Side

• Side, Side, Angle

What property states that a side is congruent to itself?

• Associative Property

• Transitive Property

• Symmetric Property

• Reflexive Property

Which theorem is used when three sets of sides are congruent?

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Angle-Angle-Side (AAS)

What is the reason for triangles not being congruent in the fourth example?

• They do not follow any congruency theorem.

• They do not have a congruent angle between the sides.

• They have different shapes.

• They do not have three sets of congruent sides.

What is the significance of vertical angles in proving triangle congruency?

• They are always different and cannot be used in any theorem.

• They are always equal and can be used in the SAS theorem.

• They are used to prove that triangles are similar, not congruent.

• They are only used in the SSS theorem.

In the example with parallel lines, which angles are congruent?

• Corresponding angles

• Alternate interior angles

• Exterior angles

• Supplementary angles

What is the correct congruency statement for triangles with sides ECF and EDS?

• Triangle ECF is congruent to Triangle EDS

• Triangle ECF is congruent to Triangle EDF

• Triangle ECF is congruent to Triangle EDC

• Triangle ECF is congruent to Triangle EFS

How can you rearrange the letters in a congruency statement?

• You cannot rearrange the letters.

• You can rearrange them in any order.

• You can only rearrange the first and last letters.

• You can rearrange them as long as congruent parts are in the same location.