Special Parallelograms

Question 1

What value of m would make parallelogram WXYZ a square?

Revolt · Accepted Answer

2

Question 2

Use the diagram to answer the questions.

Revolt · Accepted Answer

✔ 12; The length of AB is .: 12; The length of BC is .: 5; The length of AC is .: 13

Question 3

Which characteristic guarantees that a parallelogram is a rectangle?

Revolt · Accepted Answer

The diagonals are congruent.

Question 4

Use the diagram of rhombus LMNO to find the missing measures.

Revolt · Accepted Answer

✔ 90; The measure of ∠LPM is °.: 90; The measure of ∠PMN is °.: 51; The length of LN is units.: 10

Question 5

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 6

45✔ 5190102

Revolt · Accepted Answer

✔ 51

Question 7

✔ ABAEAC

Revolt · Accepted Answer

✔ AB; We are given that ABCD is a square. If we consider triangle AEB and triangle AED, we see that side is congruent to side AD because sides of a square are congruent. We know that side AE is congruent to: AB; We are given that ABCD is a square. If we consider triangle AEB and triangle AED, we see that side is congruent to side AD because sides of a square are congruent. We know that side AE is congruent to: reflexive property; We are given that ABCD is a square. If we consider triangle AEB and triangle AED, we see that side is congruent to side AD because sides of a square are congruent. We know that side AE is congruent to: BE; We are given that ABCD is a square. If we consider triangle AEB and triangle AED, we see that side is congruent to side AD because sides of a square are congruent. We know that side AE is congruent to: SSS; We are given that ABCD is a square. If we consider triangle AEB and triangle AED, we see that side is congruent to side AD because sides of a square are congruent. We know that side AE is congruent to: definition of perpendicular

Question 8

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 9

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

Revolt · Accepted Answer

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

Question 10

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

Revolt · Accepted Answer

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

Special Parallelograms Answers

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