Identifying Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, where the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

When can triangles be considered 'Not congruent'?

Back

Triangles are considered 'Not congruent' when there is no sufficient information or criteria (like SSS, SAS, ASA, AAS, or HL) to establish that they are equal in shape and size.

Tags

CCSS.8.G.A.2

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important in geometry as it helps in proving the equality of shapes, solving problems related to angles and sides, and establishing relationships between different geometric figures.

Tags

CCSS.8.G.A.2

Front

Provide an example of SSS congruence.

Back

If triangle ABC has sides of lengths 5 cm, 7 cm, and 9 cm, and triangle DEF has sides of lengths 5 cm, 7 cm, and 9 cm, then triangle ABC is congruent to triangle DEF by SSS.

Tags

CCSS.HSG.SRT.B.5

Front

Provide an example of ASA congruence.

Back

If triangle GHI has angles of 30° and 60° with an included side of 10 cm, and triangle JKL has angles of 30° and 60° with the same included side of 10 cm, then triangle GHI is congruent to triangle JKL by ASA.

Tags

CCSS.HSG.SRT.B.5

Front

Provide an example of SAS congruence.

Back

If triangle MNO has sides of lengths 8 cm and 6 cm with an included angle of 45°, and triangle PQR has sides of lengths 8 cm and 6 cm with the same included angle of 45°, then triangle MNO is congruent to triangle PQR by SAS.

Tags

CCSS.HSG.SRT.B.5