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Chapter 5: Q3 (page 187)

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

Short Answer

Expert verified

Property

Parallelogram

Rectangle

Rhombus

Square

Opp.鈭�s angles are 鈮�.

yes

yes

yes

yes

Step by step solution

01

Step 1. Description of step.

Parallelogram is a quadrilateral whose opposite angles are congruent.

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

02

Step 2. Description of step.

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

Square is a type of parallelogram whose opposite angles are congruent 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 angles are congruent. Therefore,

Property

Parallelogram

Rectangle

Rhombus

Square

Opp.鈭�s angles are 鈮�.

yes

yes

yes

yes

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Most popular questions from this chapter

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

M, N and T are the midpoints of the sides of 螖XYZ.

If XZ=10, then MN=?炉

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.

The coordinates of the three vertices of a parallelogram are given. Find all the possibilities you can for the coordinates of the fourth vertex.

(-1,0),(2,-2),(2,2)

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and y.
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