Writing a Proof for Two Triangles Congruent Under SSS - Congruent Triangles

What is the first step in solving a proof problem involving congruent triangles?

• Identify the midpoint of the triangle.

• Write down the given information.

• Draw the triangle accurately.

• Calculate the angles of the triangle.

What does the midpoint of a segment tell us?

• It divides the segment into two unequal parts.

• It divides the segment into two equal parts.

• It is the shortest part of the segment.

• It is the longest part of the segment.

Which of the following is a criterion for triangle congruence?

• Side-angle-side (SAS)

• Angle-side-angle (ASA)

• Side-side-side (SSS)

• Angle-angle-side (AAS)

What is the special angle called in the side-angle-side (SAS) criterion?

• Adjacent angle

• Reflexive angle

• Included angle

• Opposite angle

Why can't we assume angles are congruent just because two sides are equal?

• Equal sides mean angles are always different.

• Angles are irrelevant in triangle congruence.

• Equal sides do not guarantee equal angles.

• Angles are always congruent if sides are equal.

What property is used to prove that a side is equal to itself in a triangle?

• Symmetric property

• Associative property

• Transitive property

• Reflexive property

What is the final step in proving that two triangles are congruent?

• Measure the angles of the triangles.

• Write the congruence statement using SSS or SAS.

• Use the reflexive property to prove side equality.

• Calculate the area of the triangles.