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Chapter 5: Q10 (page 187)

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

Short Answer

Expert verified

Property

Parallelogram

Rectangle

Rhombus

Square

All sides are≅

yes

yes

Step by step solution

01

Step 1. Description of step.

A parallelogram is a quadrilateral whose opposite sides are parallel and congruent.

A rectangle is a special type of parallelogram in which opposite sides are parallel and congruent.

02

Step 2. Description of step.

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

Square is a type of parallelogram whose opposite sides are parallel; all the sides are congruent.

03

Step 3. Description of step.

In rhombus and square, all the sides are congruent. Therefore,

Property

Parallelogram

Rectangle

Rhombus

Square

All sides are≅

yes

yes

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Most popular questions from this chapter

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.

Quadrilateral is a parallelogram.

  1. Why is supplementary to ?
  2. Why is supplementary to ?
  3. Complete: consecutive angles of a parallelogram are ?, while opposite angles are?.

Draw a quadrilateral that is not a parallelogram but that has one pair of congruent sides and one pair of parallel sides.

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

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