Triangle Congruence review (AAS, SSS, ASA, SAS, HL)

Front

What does AAS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the corresponding included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that states if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If ΔDEC ≅ ΔBEA, what can we conclude about their corresponding parts?

Back

The corresponding parts of congruent triangles are congruent, meaning the angles and sides of ΔDEC are equal to those of ΔBEA.

Tags

CCSS.HSG.CO.B.7

Front

What is the significance of congruence statements in geometry?

Back

Congruence statements indicate that two geometric figures are identical in shape and size, allowing for the transfer of properties from one figure to another.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

To determine if two triangles are congruent using SSS, measure all three sides of each triangle. If all three sides of one triangle are equal to the corresponding sides of the other triangle, they are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

To determine if two triangles are congruent using ASA, measure two angles and the included side of each triangle. If these measurements are equal, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be congruent, while AAS allows for a non-included side to be congruent along with the two angles.

Tags

CCSS.HSG.SRT.B.5