Proving Parallelograms: Key Theorems and Proofs

What is the only shape that can be formed by arranging segments with congruent opposite sides?

• Triangle

• Rectangle

• Parallelogram

• Circle

Tags

CCSS.2.G.A.1

Which property is used to prove the congruence of triangles in the demonstration?

• Side-Side-Side

• Angle-Side-Angle

• Reflexive Property

• Side-Angle-Side

Tags

CCSS.HSG.SRT.B.5

What theorem is used to prove that opposite sides are parallel in a parallelogram?

• Theorem 3.1

• Theorem 8.1

• Theorem 3.6

• Theorem 3.4

Tags

CCSS.HSG.CO.C.11

What does the sum of the interior angles of a quadrilateral equal to?

• 180 degrees

• 360 degrees

• 270 degrees

• 90 degrees

What does the reflexive property state about a segment or angle?

• It is supplementary to another angle

• It is parallel to another segment

• It is congruent to itself

• It is congruent to another segment

What type of angles are formed when a transversal cuts through parallel lines?

• Supplementary angles

• Complementary angles

• Vertical angles

• Alternate interior angles

Tags

CCSS.8.G.A.5

What does the midpoint theorem imply about a quadrilateral?

• It is a circle

• It is a parallelogram

• It is a square

• It is a rectangle

Tags

CCSS.HSG.SRT.B.4

Which angles are congruent due to the properties of parallelograms discussed?

• Adjacent angles

• Opposite angles

• Interior angles

• Exterior angles

Tags

CCSS.HSG.CO.C.11

What is the result when diagonals bisect each other in a quadrilateral?

• It forms a parallelogram

• It forms a rectangle

• It forms a triangle

• It forms a circle

What theorem is used to prove that sides are parallel due to congruent alternate interior angles?

• Theorem 8.1

• Theorem 3.6

• Theorem 3.4

• Theorem 3.1

Tags

CCSS.8.G.A.5