Special Parallelograms

Question 1

Given: Parallelogram LMNO; MO ⊥ LN

Revolt · Accepted Answer

✔ All right angles are congruent.; ♣:: All right angles are congruent.; ♦:: reflexive property; ♠:: Opposite sides of a parallelogram are congruent.

Question 2

transitive propertysubstitution property✔ reflexive propertysymmetric property

Revolt · Accepted Answer

✔ reflexive property

Question 3

Opposite angles of a parallelogram are congruent.✔ Opposite sides of a parallelogram are congruent.Diagonals of a parallelogram are congruent.Diagonals of a parallelogram bisect each other.

Revolt · Accepted Answer

✔ Opposite sides of a parallelogram are congruent.

Question 4

Given: ABCD is a rectangle. Prove: ABCD has congruent diagonals.

Revolt · Accepted Answer

♣ =: parallelogram side theorem; ♦ =: SAS; ♠ =: CPCTC

Question 5

✔ SASAASCPCTC

Revolt · Accepted Answer

✔ SAS

Question 6

✔ CPCTCSASAAS

Revolt · Accepted Answer

✔ CPCTC

Question 7

Claire is designing a banner that will hang in her classroom. The length of one diagonal of the banner is 48 inches, and the sides are 25 inches long. Is the banner a square?

Revolt · Accepted Answer

It is not a square because the angles at the vertices are not right angles.

Question 8

Given: ABCD is a rectangle. Prove: ABCD has congruent diagonals.

Revolt · Accepted Answer

✔ parallelogram side theorem; ♣ =: parallelogram side theorem; ♦ =: SAS; ♠ =: CPCTC

Special Parallelograms Answers

More from this Course

TRY EDGENUITY HACKS