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Open Ended

What is the significance of understanding the criteria for triangle congruence, specifically the side-side-side (SSS) case, in geometry?

Multiple Choice

Which of the following is true about two triangles if all three sides of one triangle are equal to all three sides of another triangle?

• The triangles are congruent.

• The triangles are similar but not congruent.

• The triangles have equal areas but different shapes.

• The triangles have equal angles but different side lengths.

Multiple Choice

Which of the following statements correctly explains why triangles MNP and HIK are congruent in the given example?

• They have equal angles.

• They have two equal sides and one equal angle.

• They have three pairs of equal sides.

• They have three pairs of equal angles.

Open Ended

Explain how the congruence of triangles is used to prove that OC is the angle bisector of angle AOB in the construction.

Multiple Choice

What is the significance of the ray Oz in the construction of the angle bisector in the given diagram?

• It is perpendicular to the base.

• It is the angle bisector of angle xOy.

• It is parallel to one side of the triangle.

• It is the median of the triangle.

Open Ended

Summarize what you have learned about the first case of triangle congruence (side-side-side) and how it can be applied to solve problems.

Multiple Choice

What is the necessary condition for two triangles to be congruent according to the side-side-side (SSS) criterion?

• All three sides of one triangle are equal to all three sides of another triangle.

• All three angles of one triangle are equal to all three angles of another triangle.

• Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

• One side and two adjacent angles of one triangle are equal to one side and two adjacent angles of another triangle.