Exploring Triangle Congruency with SSS and SAS

What does it mean for two triangles to be congruent?

• They have different sizes and shapes.

• They have the same size and shape.

• They have the same size but different shapes.

• They have the same shape but different sizes.

Tags

CCSS.8.G.A.2

Which postulate states that if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent?

• SSS

• AAA

• SSA

• SAS

Tags

CCSS.HSG.SRT.B.5

What is the included angle in a triangle?

• The angle opposite the longest side.

• The angle opposite the shortest side.

• The angle between two congruent sides.

• The angle between two given sides.

In the SAS postulate, what must be true about the angle?

• It must be the largest angle in the triangle.

• It must be opposite one of the given sides.

• It must be the smallest angle in the triangle.

• It must be between the two given sides.

If sides YE and ES are given, what is the included angle?

• Angle Y

• Angle E

• Angle S

• Angle YS

Which of the following is NOT a valid postulate for proving triangle congruence?

• SSS

• SAS

• None of the above

• SSA

Tags

CCSS.HSG.SRT.B.5

Why can't the AAA postulate be used to prove triangle congruence?

• It only compares angles, not sides.

• It only compares sides, not angles.

• It requires the triangles to be right triangles.

• It requires the triangles to be isosceles.

Tags

CCSS.8.G.A.2

What property states that a side is congruent to itself?

• Transitive property

• Symmetric property

• Associative property

• Reflexive property

Tags

CCSS.HSG.SRT.B.5

What type of angles are always congruent and can be used to prove triangle congruence?

• Adjacent angles

• Vertical angles

• Complementary angles

• Supplementary angles

Tags

CCSS.HSG.CO.C.9

To prove two triangles are congruent using the SAS postulate, what must be true?

• Three angles must be congruent.

• Two angles and the included side must be congruent.

• Three sides must be congruent.

• Two sides and the included angle must be congruent.

Tags

CCSS.HSG.SRT.B.5