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Chapter 5: Q1 (page 187)

Copy the chart. Then place check marks in the appropriate spaces.

Short Answer

Expert verified

Property

Parallelogram

Rectangle

Rhombus

Square

Opp. sides are 鈭�.

yes

yes

yes

yes

Step by step solution

01

Step 1. Description of step.

A parallelogram is a quadrilateral whose opposite sides are parallel to each other.

The rectangle is a special type of parallelogram in which opposite sides are parallel and the interior angles are right angles.

02

Step 2. Description of step.

Rhombus is a special type of parallelogram whose opposite sides are parallel and all the four sides are equal in length.

Square is a type of parallelogram whose opposite sides are parallel; all the sides are equal in length and the interior angles are right angles.

03

Step 3. Description of step.

In all the quadrilaterals, that is, parallelogram, rectangle, rhombus and square, opposite sides are parallel. Therefore,

Property

Parallelogram

Rectangle

Rhombus

Square

Opp. sides are 鈭�.

yes

yes

yes

yes

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Most popular questions from this chapter

Must quad. EFGH be a parallelogram? Can it be a parallelogram? Explain.

For exercises, 14-18 write paragraph proofs.

Given: parallelogram ABCD; W, X, Y, Z are midpoints of AO炉, BO炉, CO炉and DO炉.

Prove: role="math" localid="1637745814874" WXYZ is a parallelogram.

In Exercise 5 quad. ABCD is a parallelogram. Find the values of x, y, and z.

The quadrilaterals numbered 1, 2, 3, 4, and 5 are parallelograms. If you wanted to show that quadrilateral 6 is also a parallelogram, which of the five methods listed on page 172 would be easiest to use?

For exercises, 14-18 write paragraph proofs.

Given: ABCD is a parallelogram; DE=BF.

Prove: AFCE is a parallelogram.
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