Proving a Quadrilateral Is a Parallelogram

Question 1

What value of m would make parallelogram WXYZ a square?

Revolt · Accepted Answer

A: 2

Question 2

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

B: 12

Question 3

Question 3

Revolt · Accepted Answer

115706

Question 4

Which characteristic guarantees that a parallelogram is a rectangle?

Revolt · Accepted Answer

D: The diagonals are congruent.

Question 5

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

C: 90

Question 6

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

A: AB

Question 7

✔ SASAASCPCTC

Revolt · Accepted Answer

A: SAS

Question 8

Question 8

Revolt · Accepted Answer

A: 5

Question 9

Question 9

Revolt · Accepted Answer

B: 51

Question 10

Question 10

Revolt · Accepted Answer

C: reflexive property

Proving a Quadrilateral Is a Parallelogram Answers

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