Dec 12 Core 3 Geometry Intro to Congruency Flashcardizz

Front

What is congruency in geometry?

Back

Congruency in geometry means that two figures have the same shape and size. This implies that all corresponding sides and angles are equal.

Front

What does the symbol '≅' represent?

Back

The symbol '≅' represents that two geometric figures are congruent.

Front

How do you denote congruent triangles?

Back

Congruent triangles are denoted by writing the triangle names with the corresponding vertices in the same order. For example, if triangle ABC is congruent to triangle DEF, it is written as △ABC ≅ △DEF.

Front

What is the Angle-Angle (AA) criterion for triangle congruence?

Back

The Angle-Angle (AA) criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are congruent.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

The Side-Side-Side (SSS) criterion states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

The Side-Angle-Side (SAS) criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the purpose of congruence statements?

Back

Congruence statements are used to express that two geometric figures are congruent, indicating which parts of the figures correspond to each other.

Front

If ∆ISR ≅ ∆TRS, what can we conclude about their corresponding angles and sides?

Back

If ∆ISR ≅ ∆TRS, then the corresponding sides and angles of both triangles are equal: IS = TR, IR = RS, SR = TS, and ∠I = ∠T, ∠S = ∠R, ∠R = ∠S.

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates the correspondence of the vertices of the triangles. For example, in △ABC ≅ △DEF, A corresponds to D, B to E, and C to F.

Front

What does it mean if two angles are marked with the same arc?

Back

If two angles are marked with the same arc, it indicates that the angles are congruent.