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Chapter 5: Q3 (page 173)

Study the markings on each figure and decide whether ABCD must be a parallelogram. If the answer is yes, state the definition or theorem that applies.

Short Answer

Expert verified

No, the given figure ABCD is not a parallelogram.

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

02

Step 2. Description of step.

From the given diagram it can be noticed that:

AB=CDand OB=OD.

Therefore, AB鈮�CDand OB鈮�OD.

That implies the one pair of opposite sides of the quadrilateral is congruent and one of the diagonal is bisecting.

Neither the two pairs of opposite sides are parallel, one pair of opposite sides are congruent and parallel, nor the two diagonals bisect each other.

Therefore, the given quadrilateral ABCD is not a parallelogram.

03

Step 3. Write the conclusion.

No, the given figure ABCD is not a parallelogram.

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Most popular questions from this chapter

Prove Theorem 5-3.

What values must x and y have to make the quadrilateral a parallelogram?

Given: ABCD is a 鈻�,CD炉鈮�CE炉

Prove: 鈭�A鈮�鈭�E

In Exercises 5-10 quad. PQRS is a parallelogram. Find the values of a, b, x and y.

鈻�DECKis a parallelogram. Complete.

Ifm鈭�1=3x,m鈭�2=4x and m鈭�3=x2-70then x=?andm鈭�CED=? (numerical answers).
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