triangle congruence

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A triangle is congruent if two angles and the included side are equal to two angles and the included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: A triangle is congruent if all three sides of one triangle are equal to all three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A triangle is congruent if two angles and a non-included side are equal to two angles and the corresponding non-included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: A triangle is congruent if 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 is the AAA criterion in triangle congruence?

Back

Angle-Angle-Angle: This criterion states that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

Tags

CCSS.HSG.CO.B.7

Front

If ∠E ≅ ∠A, what can be inferred about triangles with these angles?

Back

The triangles may be congruent if the corresponding sides are also equal.

Tags

CCSS.HSG.CO.B.7

Front

Are triangles with sides 5 cm, 12 cm, and 13 cm congruent to triangles with sides 5 cm, 12 cm, and 13 cm?

Back

Yes, they are congruent by SSS.

Tags

CCSS.8.G.A.2

Front

If two triangles have two angles equal and the included side equal, what can be concluded?

Back

The triangles are congruent by ASA.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the included side in ASA and SAS?

Back

The included side is the side between the two angles in ASA and the side between the two sides in SAS that must be equal for congruence.

Tags

CCSS.HSG.SRT.B.5

Front

Can SSA (Side-Side-Angle) prove triangle congruence?

Back

No, SSA does not guarantee triangle congruence; it can lead to ambiguous cases.

Tags

CCSS.8.G.A.2