Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Chapter 5.4, Problem 8PSA

a.

To determine

To find:The statement “A square is a rhombus is A, S or N”.

a.

Expert Solution
Check Mark

Answer to Problem 8PSA

The statement isA.

Explanation of Solution

Given information:

A square ABCD.

  Geometry For Enjoyment And Challenge, Chapter 5.4, Problem 8PSA , additional homework tip 1

In square, all sides are equal and each angle is 90 degree.

In rhombus all sides are equal andhas two opposite sets of angles are equal.

The property of square is similar to that of rhombus.

b.

To determine

To find: The statement “A rhombus is a square is A, S or N”.

b.

Expert Solution
Check Mark

Answer to Problem 8PSA

The statement is S.

Explanation of Solution

Given information:

A rhombusABCD.

  Geometry For Enjoyment And Challenge, Chapter 5.4, Problem 8PSA , additional homework tip 2

In rhombus all sides are equal and has two opposite sets of angles are equal.

In square, all sides are equal and each angle is 90 degree.

The property of rhombus is similar to that of square.

There exists a case where two opposites set of angles are not 90 degree. In this case, rhombus is not a square.

c.

To determine

To find: The statement “A kite is a parallelogram is A, S or N”.

c.

Expert Solution
Check Mark

Answer to Problem 8PSA

The statement is S.

Explanation of Solution

Given information:

A kite KITE.

  Geometry For Enjoyment And Challenge, Chapter 5.4, Problem 8PSA , additional homework tip 3

A kite is a quadrilateral that has 2 pairs of equal length sides and these sides are adjacent to each other.

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

The property of kite is not similar to that of parallelogram.

There exists a case where kite will be parallelogram with two pairs of parallel sides.

d.

To determine

To find: The statement “A rectangle is a polygon is A, S or N”.

d.

Expert Solution
Check Mark

Answer to Problem 8PSA

The statement is A.

Explanation of Solution

Given information:

A rectangleABCD.

  Geometry For Enjoyment And Challenge, Chapter 5.4, Problem 8PSA , additional homework tip 4

A rectangle is a quadrilateral with four right angles and equal parallel sides.

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a polygonal circuit.

The property of rectangle is similar to that of polygon.

e.

To determine

To find: The statement “A polygon has same number of vertices as sides is A, S or N”.

e.

Expert Solution
Check Mark

Answer to Problem 8PSA

The statement is A.

Explanation of Solution

Given information:

A polygon.

  Geometry For Enjoyment And Challenge, Chapter 5.4, Problem 8PSA , additional homework tip 5

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a polygonal circuit.

The vertex is a corner of the polygon. In any polygon, the number of sides and vertices are always equal. The sides are the straight line segments that make up the polygon.

f.

To determine

To find: The statement “A parallelogram has three diagonals” is A, S or N”.

f.

Expert Solution
Check Mark

Answer to Problem 8PSA

The statement is N.

Explanation of Solution

Given information:

A parallelogram ABCD.

  Geometry For Enjoyment And Challenge, Chapter 5.4, Problem 8PSA , additional homework tip 6

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

A diagonal is a line segment joining two vertices of a polygon, when those vertices are not on same edge.

A parallelogramABCD has two diagonalsAC and BD.

g.

To determine

To find: The statement “A trapezoid has three bases” is A, S or N”.

g.

Expert Solution
Check Mark

Answer to Problem 8PSA

The statement is N.

Explanation of Solution

Given information:

A trapezoidRSTV.

  Geometry For Enjoyment And Challenge, Chapter 5.4, Problem 8PSA , additional homework tip 7

The below property is used:

In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the other sides (the legs) are of equal length.

In trapezoid RSTV.ST and RV are only two bases.

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Chapter 5.4, Problem 9PSA

Chapter 5 Solutions

Geometry For Enjoyment And Challenge

Ch. 5.1 - Prob. 1PSACh. 5.1 - Prob. 2PSACh. 5.1 - Prob. 3PSACh. 5.1 - Prob. 4PSACh. 5.1 - Prob. 5PSACh. 5.1 - Prob. 6PSACh. 5.1 - Prob. 7PSACh. 5.1 - Prob. 8PSACh. 5.1 - Prob. 9PSACh. 5.1 - Prob. 10PSB
Ch. 5.1 - Prob. 11PSBCh. 5.1 - Prob. 12PSBCh. 5.1 - Prob. 13PSBCh. 5.1 - Prob. 14PSCCh. 5.1 - Prob. 15PSCCh. 5.2 - Prob. 1PSACh. 5.2 - Prob. 2PSACh. 5.2 - Prob. 3PSACh. 5.2 - Prob. 4PSACh. 5.2 - Prob. 5PSACh. 5.2 - Prob. 6PSACh. 5.2 - Prob. 7PSACh. 5.2 - Prob. 8PSACh. 5.2 - Prob. 9PSACh. 5.2 - Prob. 10PSACh. 5.2 - Prob. 11PSACh. 5.2 - Prob. 12PSACh. 5.2 - Prob. 13PSACh. 5.2 - Prob. 14PSACh. 5.2 - Prob. 15PSACh. 5.2 - Prob. 16PSACh. 5.2 - Prob. 17PSACh. 5.2 - Prob. 18PSACh. 5.2 - Prob. 19PSACh. 5.2 - Prob. 20PSACh. 5.2 - Prob. 21PSACh. 5.2 - Prob. 22PSBCh. 5.2 - Prob. 23PSBCh. 5.2 - Prob. 24PSBCh. 5.2 - Prob. 25PSCCh. 5.2 - Prob. 26PSCCh. 5.2 - Prob. 27PSCCh. 5.2 - Prob. 28PSCCh. 5.3 - Prob. 1PSACh. 5.3 - Prob. 2PSACh. 5.3 - Prob. 3PSACh. 5.3 - Prob. 4PSACh. 5.3 - Prob. 5PSACh. 5.3 - Prob. 6PSACh. 5.3 - Prob. 7PSACh. 5.3 - Prob. 8PSACh. 5.3 - Prob. 9PSACh. 5.3 - Prob. 10PSACh. 5.3 - Prob. 11PSACh. 5.3 - Prob. 12PSACh. 5.3 - Prob. 13PSACh. 5.3 - Prob. 14PSBCh. 5.3 - Prob. 15PSBCh. 5.3 - Prob. 16PSBCh. 5.3 - Prob. 17PSBCh. 5.3 - Prob. 18PSBCh. 5.3 - Prob. 19PSBCh. 5.3 - Prob. 20PSBCh. 5.3 - Prob. 21PSBCh. 5.3 - Prob. 22PSBCh. 5.3 - Prob. 23PSBCh. 5.3 - Prob. 24PSBCh. 5.3 - Prob. 25PSBCh. 5.3 - Prob. 26PSCCh. 5.3 - Prob. 27PSCCh. 5.3 - Prob. 28PSCCh. 5.3 - Prob. 29PSDCh. 5.3 - Prob. 30PSDCh. 5.4 - Prob. 1PSACh. 5.4 - Prob. 2PSACh. 5.4 - Prob. 3PSACh. 5.4 - Prob. 4PSACh. 5.4 - Prob. 5PSACh. 5.4 - Prob. 6PSACh. 5.4 - Prob. 7PSACh. 5.4 - Prob. 8PSACh. 5.4 - Prob. 9PSACh. 5.4 - Prob. 10PSACh. 5.4 - Prob. 11PSACh. 5.4 - Prob. 12PSACh. 5.4 - Prob. 13PSBCh. 5.4 - Prob. 14PSBCh. 5.4 - Prob. 15PSBCh. 5.4 - Prob. 16PSBCh. 5.4 - Prob. 17PSBCh. 5.4 - Prob. 18PSBCh. 5.4 - Prob. 19PSBCh. 5.4 - Prob. 20PSBCh. 5.4 - Prob. 21PSCCh. 5.4 - Prob. 22PSCCh. 5.5 - Prob. 1PSACh. 5.5 - Prob. 2PSACh. 5.5 - Prob. 3PSACh. 5.5 - Prob. 4PSACh. 5.5 - Prob. 5PSACh. 5.5 - Prob. 6PSACh. 5.5 - Prob. 7PSACh. 5.5 - Prob. 8PSACh. 5.5 - Prob. 9PSACh. 5.5 - Prob. 10PSACh. 5.5 - Prob. 11PSACh. 5.5 - Prob. 12PSACh. 5.5 - Prob. 13PSACh. 5.5 - Prob. 14PSACh. 5.5 - Prob. 15PSBCh. 5.5 - Prob. 16PSBCh. 5.5 - Prob. 17PSBCh. 5.5 - Prob. 18PSBCh. 5.5 - Prob. 19PSBCh. 5.5 - Prob. 20PSBCh. 5.5 - Prob. 21PSBCh. 5.5 - Prob. 22PSBCh. 5.5 - Prob. 23PSBCh. 5.5 - Prob. 24PSBCh. 5.5 - Prob. 25PSBCh. 5.5 - Prob. 26PSBCh. 5.5 - Prob. 27PSBCh. 5.5 - Prob. 28PSCCh. 5.5 - Prob. 29PSCCh. 5.5 - Prob. 30PSCCh. 5.6 - Prob. 1PSACh. 5.6 - Prob. 2PSACh. 5.6 - Prob. 3PSACh. 5.6 - Prob. 4PSACh. 5.6 - Prob. 5PSACh. 5.6 - Prob. 6PSACh. 5.6 - Prob. 7PSACh. 5.6 - Prob. 8PSACh. 5.6 - Prob. 9PSACh. 5.6 - Prob. 10PSACh. 5.6 - Prob. 11PSBCh. 5.6 - Prob. 12PSBCh. 5.6 - Prob. 13PSBCh. 5.6 - Prob. 14PSBCh. 5.6 - Prob. 15PSBCh. 5.6 - Prob. 16PSBCh. 5.6 - Prob. 17PSBCh. 5.6 - Prob. 18PSBCh. 5.6 - Prob. 19PSCCh. 5.6 - Prob. 20PSCCh. 5.6 - Prob. 21PSDCh. 5.7 - Prob. 1PSACh. 5.7 - Prob. 2PSACh. 5.7 - Prob. 3PSACh. 5.7 - Prob. 4PSACh. 5.7 - Prob. 5PSACh. 5.7 - Prob. 6PSACh. 5.7 - Prob. 7PSACh. 5.7 - Prob. 8PSACh. 5.7 - Prob. 9PSACh. 5.7 - Prob. 10PSACh. 5.7 - Prob. 11PSBCh. 5.7 - Prob. 12PSBCh. 5.7 - Prob. 13PSBCh. 5.7 - Prob. 14PSBCh. 5.7 - Prob. 15PSBCh. 5.7 - Prob. 16PSBCh. 5.7 - Prob. 17PSBCh. 5.7 - Prob. 18PSBCh. 5.7 - Prob. 19PSBCh. 5.7 - Prob. 20PSBCh. 5.7 - Prob. 21PSBCh. 5.7 - Prob. 22PSBCh. 5.7 - Prob. 23PSBCh. 5.7 - Prob. 24PSBCh. 5.7 - Prob. 25PSBCh. 5.7 - Prob. 26PSCCh. 5.7 - Prob. 27PSCCh. 5.7 - Prob. 28PSCCh. 5.7 - Prob. 29PSCCh. 5 - Prob. 1RPCh. 5 - Prob. 2RPCh. 5 - Prob. 3RPCh. 5 - Prob. 4RPCh. 5 - Prob. 5RPCh. 5 - Prob. 6RPCh. 5 - Prob. 7RPCh. 5 - Prob. 8RPCh. 5 - Prob. 9RPCh. 5 - Prob. 10RPCh. 5 - Prob. 11RPCh. 5 - Prob. 12RPCh. 5 - Prob. 13RPCh. 5 - Prob. 14RPCh. 5 - Prob. 15RPCh. 5 - Prob. 16RPCh. 5 - Prob. 17RPCh. 5 - Prob. 18RPCh. 5 - Prob. 19RPCh. 5 - Prob. 20RPCh. 5 - Prob. 21RPCh. 5 - Prob. 22RPCh. 5 - Prob. 23RPCh. 5 - Prob. 24RPCh. 5 - Prob. 25RPCh. 5 - Prob. 26RPCh. 5 - Prob. 27RPCh. 5 - Prob. 28RPCh. 5 - Prob. 29RPCh. 5 - Prob. 30RP

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