Congruent Triangles Flashcard

Front

What does the standard CCSS.HSG.CO.B.7 focus on?

Back

The standard CCSS.HSG.CO.B.7 focuses on understanding congruence in terms of rigid motions, specifically how to use transformations to determine congruence of figures.

Front

What is a congruent triangle?

Back

A congruent triangle is a triangle that has the same size and shape as another triangle, meaning all corresponding sides and angles are equal.

Front

What are the three main postulates used to prove triangle congruence?

Back

The three main postulates are: 1) Side-Side-Side (SSS), 2) Side-Angle-Side (SAS), 3) Angle-Side-Angle (ASA).

Front

What does the Side-Angle-Side (SAS) postulate state?

Back

The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does the Angle-Side-Angle (ASA) postulate state?

Back

The ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the significance of the Not Possible answer in the context of triangle congruence?

Back

The 'Not Possible' answer indicates that there is insufficient information to determine if the triangles are congruent based on the given data.

Front

How can you determine if two triangles are congruent using transformations?

Back

You can determine if two triangles are congruent by applying rigid transformations (translations, rotations, reflections) to see if one triangle can be made to coincide with the other.

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts in congruent triangles refer to the sides and angles that are equal in measure between the two triangles.

Front

What does the notation \\angle R \cong \angle S mean?

Back

The notation \\angle R \cong \angle S means that angle R is congruent to angle S, indicating they have the same measure.

Front

What is the purpose of using congruence statements?

Back

Congruence statements are used to clearly indicate which parts of one triangle correspond to the parts of another triangle, facilitating the proof of congruence.