Chapter 4.CR, Problem 34CR

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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**Review Exercises**

Considering parallelograms, kites, rectangles, squares, rhombi, trapezoids, and isosceles trapezoids, which figures have | |

a) line symmetry? | |

b) point symmetry? |

To determine

**To Construct:**

Check whether the quadrilaterals such as parallelogram, kites, rectangle, squares, rhombi, trapezoids and isosceles trapezoids are line symmetry and point symmetry.

Explanation

**Definition:**

A geometrical shape is said to be symmetrical if any line or point can reflect the portion on one side exactly same as the portion on the other side. If the symmetry is around a line, then that line is called line of symmetry and if the symmetry is around a point, then that line is called point of symmetry. A shape which has a point of symmetry is said to have a point symmetry.

**Description:**

*Parallelogram:*

1. Line Symmetry: No line symmetry.

2. Point Symmetry: Parallelogram possesses point symmetry with point of intersection of diagonals. That is, point symmetry at

*Kites:*

1. Line Symmetry: Possesses 1 line of symmetry. That is diagonal

2. Point Symmetry: There is no point symmetry.

*Rectangles:*

1. Line Symmetry: Possesses 2 lines of symmetry. Line joins the mid-point of 2 parallel sides.

2. Point Symmetry: Possesses point symmetry with point of intersection of diagonals as the centre of symmetry.

*Squares:*

Sect-4.1 P-1ESect-4.1 P-2ESect-4.1 P-3ESect-4.1 P-4ESect-4.1 P-5ESect-4.1 P-6ESect-4.1 P-7ESect-4.1 P-8ESect-4.1 P-9ESect-4.1 P-10E

Sect-4.1 P-11ESect-4.1 P-12ESect-4.1 P-13ESect-4.1 P-14ESect-4.1 P-15ESect-4.1 P-16ESect-4.1 P-17ESect-4.1 P-18ESect-4.1 P-19ESect-4.1 P-20ESect-4.1 P-21ESect-4.1 P-22ESect-4.1 P-23ESect-4.1 P-24ESect-4.1 P-25ESect-4.1 P-26ESect-4.1 P-27ESect-4.1 P-28ESect-4.1 P-29ESect-4.1 P-30ESect-4.1 P-31ESect-4.1 P-32ESect-4.1 P-33ESect-4.1 P-34ESect-4.1 P-35ESect-4.1 P-36ESect-4.1 P-37ESect-4.1 P-38ESect-4.1 P-39ESect-4.1 P-40ESect-4.1 P-41ESect-4.1 P-42ESect-4.1 P-43ESect-4.1 P-44ESect-4.2 P-1ESect-4.2 P-2ESect-4.2 P-3ESect-4.2 P-4ESect-4.2 P-5ESect-4.2 P-6ESect-4.2 P-7ESect-4.2 P-8ESect-4.2 P-9ESect-4.2 P-10ESect-4.2 P-11ESect-4.2 P-12ESect-4.2 P-13ESect-4.2 P-14ESect-4.2 P-15ESect-4.2 P-16ESect-4.2 P-17ESect-4.2 P-18ESect-4.2 P-19ESect-4.2 P-20ESect-4.2 P-21ESect-4.2 P-22ESect-4.2 P-23ESect-4.2 P-24ESect-4.2 P-25ESect-4.2 P-26ESect-4.2 P-27ESect-4.2 P-28ESect-4.2 P-29ESect-4.2 P-30ESect-4.2 P-31ESect-4.2 P-32ESect-4.2 P-33ESect-4.2 P-34ESect-4.2 P-35ESect-4.2 P-36ESect-4.2 P-37ESect-4.2 P-38ESect-4.2 P-39ESect-4.2 P-40ESect-4.3 P-1ESect-4.3 P-2ESect-4.3 P-3ESect-4.3 P-4ESect-4.3 P-5ESect-4.3 P-6ESect-4.3 P-7ESect-4.3 P-8ESect-4.3 P-9ESect-4.3 P-10ESect-4.3 P-11ESect-4.3 P-12ESect-4.3 P-13ESect-4.3 P-14ESect-4.3 P-15ESect-4.3 P-16ESect-4.3 P-17ESect-4.3 P-18ESect-4.3 P-19ESect-4.3 P-20ESect-4.3 P-21ESect-4.3 P-22ESect-4.3 P-23ESect-4.3 P-24ESect-4.3 P-25ESect-4.3 P-26ESect-4.3 P-27ESect-4.3 P-28ESect-4.3 P-29ESect-4.3 P-30ESect-4.3 P-31ESect-4.3 P-32ESect-4.3 P-33ESect-4.3 P-34ESect-4.3 P-35ESect-4.3 P-36ESect-4.3 P-37ESect-4.3 P-38ESect-4.3 P-39ESect-4.3 P-40ESect-4.3 P-41ESect-4.3 P-42ESect-4.3 P-43ESect-4.3 P-44ESect-4.4 P-1ESect-4.4 P-2ESect-4.4 P-3ESect-4.4 P-4ESect-4.4 P-5ESect-4.4 P-6ESect-4.4 P-7ESect-4.4 P-8ESect-4.4 P-9ESect-4.4 P-10ESect-4.4 P-11ESect-4.4 P-12ESect-4.4 P-13ESect-4.4 P-14ESect-4.4 P-15ESect-4.4 P-16ESect-4.4 P-17ESect-4.4 P-18ESect-4.4 P-19ESect-4.4 P-20ESect-4.4 P-21ESect-4.4 P-22ESect-4.4 P-23ESect-4.4 P-24ESect-4.4 P-25ESect-4.4 P-26ESect-4.4 P-27ESect-4.4 P-28ESect-4.4 P-29ESect-4.4 P-30ESect-4.4 P-31ESect-4.4 P-32ESect-4.4 P-33ESect-4.4 P-34ESect-4.4 P-35ESect-4.4 P-36ESect-4.4 P-37ESect-4.4 P-38ESect-4.4 P-39ESect-4.4 P-40ESect-4.4 P-41ESect-4.4 P-42ESect-4.4 P-43ESect-4.4 P-44ESect-4.4 P-45ESect-4.CR P-1CRSect-4.CR P-2CRSect-4.CR P-3CRSect-4.CR P-4CRSect-4.CR P-5CRSect-4.CR P-6CRSect-4.CR P-7CRSect-4.CR P-8CRSect-4.CR P-9CRSect-4.CR P-10CRSect-4.CR P-11CRSect-4.CR P-12CRSect-4.CR P-13CRSect-4.CR P-14CRSect-4.CR P-15CRSect-4.CR P-16CRSect-4.CR P-17CRSect-4.CR P-18CRSect-4.CR P-19CRSect-4.CR P-20CRSect-4.CR P-21CRSect-4.CR P-22CRSect-4.CR P-23CRSect-4.CR P-24CRSect-4.CR P-25CRSect-4.CR P-26CRSect-4.CR P-27CRSect-4.CR P-28CRSect-4.CR P-29CRSect-4.CR P-30CRSect-4.CR P-31CRSect-4.CR P-32CRSect-4.CR P-33CRSect-4.CR P-34CRSect-4.CR P-35CRSect-4.CT P-1CTSect-4.CT P-2CTSect-4.CT P-3CTSect-4.CT P-4CTSect-4.CT P-5CTSect-4.CT P-6CTSect-4.CT P-7CTSect-4.CT P-8CTSect-4.CT P-9CTSect-4.CT P-10CTSect-4.CT P-11CTSect-4.CT P-12CTSect-4.CT P-13CTSect-4.CT P-14CTSect-4.CT P-15CTSect-4.CT P-16CTSect-4.CT P-17CT

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