Exploring Quadrilateral Proofs and Triangle Congruence

Which of the following is NOT one of the five triangle congruence theorems?

• Angle-Angle-Angle (AAA)

• Side-Angle-Side (SAS)

• Hypotenuse-Leg (HL)

• Side-Side-Side (SSS)

Tags

CCSS.HSG.SRT.B.5

What does CPCTC stand for?

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Corresponding

• Congruent Parts of Corresponding Triangles are Corresponding

Tags

CCSS.HSG.SRT.B.5

If two triangles are congruent by SAS, which of the following can be concluded using CPCTC?

• The third pair of sides are congruent

• The third pair of angles are congruent

• Both the third pair of sides and angles are congruent

• None of the above

Tags

CCSS.HSG.SRT.B.5

What is the first step in the quadrilateral checklist?

• Prove the shape is a square

• Prove the shape is a parallelogram

• Prove the shape is a rhombus

• Prove the shape is a rectangle

Tags

CCSS.HSG.CO.C.11

In a proof, if you know two triangles are congruent, what can you use to prove corresponding parts are congruent?

• HL

• CPCTC

• SAS

• SSS

Tags

CCSS.HSG.SRT.B.5

What is the symbol for a parallelogram?

• A triangle with a line through it

• A P with a box around it

• A square with a diagonal line

• A rectangle with a diagonal line

Tags

CCSS.HSG.CO.C.11

When proving a parallelogram, which method involves showing both pairs of opposite sides are congruent?

• Method 1

• Method 2

• Method 3

• Method 4

Tags

CCSS.HSG.C.A.3

In the proof of a square, what is the significance of having all angles as 90 degrees?

• It proves the shape is a triangle

• It proves the shape is a parallelogram

• It proves the shape is a rectangle

• It proves the shape is a rhombus

Tags

CCSS.HSG.C.A.3

What additional property must a rectangle have to be classified as a square?

• Opposite sides must be parallel

• All angles must be 45 degrees

• All sides must be congruent

• Diagonals must be perpendicular

Tags

CCSS.5.G.B.4

In proving a rhombus, what does it mean if a parallelogram has adjacent sides congruent?

• It is a triangle

• It is a rhombus

• It is a square

• It is a rectangle

Tags

CCSS.HSG.C.A.3