Proving a Quadrilateral Is a Parallelogram

Question 1

What value of m would make parallelogram WXYZ a square?

Revolt · Accepted Answer

2

Question 2

Question 2

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5

Question 3

Question 3

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13

Question 4

Question 4

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SSS

Question 5

Question 5

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definition of perpendicular

Question 6

Use the diagram to answer the questions. The length of AB is . The length of BC is . The length of AC is .

Revolt · Accepted Answer

12; Selection 1: 12; Selection 2: 5; Selection 3: 13

Question 7

Which characteristic guarantees that a parallelogram is a rectangle?

Revolt · Accepted Answer

The diagonals are congruent.

Question 8

Use the diagram of rhombus LMNO to find the missing measures. The measure of ∠LPM is °. The measure of ∠PMN is °. The length of LN is units.

Revolt · Accepted Answer

90; Selection 1: 90; Selection 2: 51; Selection 3: 10

Question 9

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 side AE by using the . Finally, we know that side DE is congruent to side because the diagonals of a square bisect each other. Therefore, triangle AEB is congruent to triangle AED by congruency. We see that angle AED and angle AEB are a linear pair, and congruent by CPCTC. Thus, the measure of these angles will be 90°, and diagonal AC is perpendicular to diagonal BD by the .

Revolt · Accepted Answer

AB; Selection 1: AB; Selection 2: reflexive property; Selection 3: BE; Selection 4: SSS; Selection 5: definition of perpendicular

Question 10

✔ SASAASCPCTC

Revolt · Accepted Answer

SAS

Proving a Quadrilateral Is a Parallelogram Answers

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