   Chapter 4.CR, Problem 34CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

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 O.

Kites:

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

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:

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