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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 ∥.

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 ∥.

yes

yes

yes

yes

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Most popular questions from this chapter

You can use a sheet of lined notebook paper to divide a segment into a number of congruent parts. Here a piece of cardboard with edge AB¯is placed so that AB¯is separated into five congruent parts. Explain why it works.

In the exercise 3 quad.ABCD is a parallelogram. Find the values of x, y, and z.

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

Given: ABCD is a ▱,CD¯≅CE¯

Prove: ∠A≅∠E

Draw two segments that are both parallel and congruent. Connect their endpoints to form a quadrilateral. What appears to be true of the quadrilateral?
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