Corresponding parts of Congruent Triangles

Front

What does the symbol ≅ represent in geometry?

Back

The symbol ≅ means 'congruent', indicating that two figures have the same shape and size.

Front

If ΔXYZ ≅ ΔCAB, what can we conclude about the corresponding angles and sides?

Back

The corresponding angles and sides of ΔXYZ and ΔCAB are equal.

Front

Which statement indicates that two triangles are congruent?

Back

A statement like ΔLMK ≅ ΔLMT indicates that triangles LMK and LMT are congruent.

Front

What is the importance of the order of letters in triangle congruence?

Back

The order of letters matters because it indicates which angles and sides correspond to each other.

Front

If ΔDEF ≅ ΔRST, what can we conclude about ∠S?

Back

We can conclude that ∠S ≅ ∠E.

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence include SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, meaning if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, meaning if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, meaning if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, meaning if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.