Triangle Congruence Theorems

What does congruence mean in geometry?

• Having the same size and shape

• Having the same weight

• Having the same color and texture

• Being in the same position

Tags

CCSS.8.G.A.2

What does the term 'congruent' imply about two geometric figures?

• They have the same perimeter

• They are identical in size and shape

• They have the same area

• They are mirror images

Tags

CCSS.8.G.A.2

Which theorem states that if three pairs of corresponding sides are equal, the triangles are congruent?

• AAS

• ASA

• SSS

• SAS

Tags

CCSS.HSG.SRT.B.5

In the SAS theorem, where is the congruent angle located?

• Outside the two sides

• Adjacent to one side

• Between the two sides

• Opposite the two sides

Tags

CCSS.HSG.SRT.B.5

What does the ASA theorem require to prove triangle congruence?

• Two angles and a side not between them

• Two sides and an angle not between them

• Two angles and the side between them

• Two sides and the angle between them

Tags

CCSS.HSG.SRT.B.5

How does the AAS theorem differ from the ASA theorem?

• ASA requires two sides followed by an angle

• AAS requires two angles followed by a side

• AAS requires two sides followed by an angle

• ASA requires two angles followed by a side

Tags

CCSS.HSG.SRT.B.5

Which theorem involves two congruent angles and a side that is not between them?

• SAS

• AAS

• SSS

• ASA

Tags

CCSS.HSG.SRT.B.5

Which theorem is specifically used for right triangles?

• ASA

• SAS

• SSS

• HL

Tags

CCSS.HSG.SRT.B.5

What is required to prove congruence using the Hypotenuse-Leg (HL) theorem?

• Two congruent legs

• A congruent hypotenuse and one leg

• Two congruent angles

• A congruent hypotenuse and an angle

Tags

CCSS.HSG.SRT.B.5

Why is the ASS configuration not considered a valid congruence theorem?

• It only applies to right triangles

• It allows multiple triangle shapes

• It is always valid

• It requires congruent hypotenuses

Tags

CCSS.8.G.A.2