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 8.2, Problem 10PSB

a

To determine

To find:The ratio of lengths of corresponding sides

a

Expert Solution
Check Mark

Answer to Problem 10PSB

The ratio of lengths of corresponding sides: 2: 3

Explanation of Solution

Given information

Quadrilateral ABCD and Quadrilateral HGFE are similar

Formula used

Ratio of sides will be same

Calculation

  EFDC=EHDAEF=12×69=8 unitsHGAB=EHDAHG=15×69=10 unitsFGCB=EHDAFG=12×69=8 units

Now, ratios of the corresponding sides

  EFDC=812=23=2:3FHDA=69=23=2:3HGAB=1015=23=2:3FGBC=812=23=2:3

b

To determine

To calculate:The measure of line segment EF.

b

Expert Solution
Check Mark

Answer to Problem 10PSB

The measure of EF is 8 units.

Explanation of Solution

Given information Quadrilateral ABCD and Quadrilateral HGFE are similar

Formula used

Ratio of sides will be same

Formula used Corresponding sides are equivalentCalculationEFDC=EHDAEF=12×69=8 units:

c

To determine

To find: The perimeter of quadrilateral EFGH.

c

Expert Solution
Check Mark

Answer to Problem 10PSB

Perimeter of EFGH is 32 units

Explanation of Solution

Given information

Quadrilateral ABCD and Quadrilateral HGFE are similar

Formula used

Ratio of sides will be same

Formula used

Perimeter is sum of all the sides of a quadrilateral

Calculation

Perimeter of quadrilateral EFGH

= EF + FG + GH + HE

= 8 + 8 + !0 + 6

= 32 units

To determine

To find:The ratio of the perimeters of quadrilaterals.

Expert Solution
Check Mark

Answer to Problem 10PSB

The ratio of the perimeters of quadrilaterals is 2:3

Explanation of Solution

Given information

. Quadrilateral ABCD and Quadrilateral HGFE are similar

Formula used

Ratio of sides will be same

Formula used

Perimeter is sum of the sides of quadrilateral

Calculation

Perimeter of ABCD = 48 units

Perimeter of EFGH = 32 units

Ratio of perimeters

  3248=23=2:3

Chapter 8 Solutions

Geometry For Enjoyment And Challenge

Ch. 8.1 - Prob. 11PSACh. 8.1 - Prob. 12PSACh. 8.1 - Prob. 13PSACh. 8.1 - Prob. 14PSACh. 8.1 - Prob. 15PSACh. 8.1 - Prob. 16PSBCh. 8.1 - Prob. 17PSBCh. 8.1 - Prob. 18PSBCh. 8.1 - Prob. 19PSBCh. 8.1 - Prob. 20PSBCh. 8.1 - Prob. 21PSBCh. 8.1 - Prob. 22PSBCh. 8.1 - Prob. 23PSCCh. 8.1 - Prob. 24PSCCh. 8.1 - Prob. 25PSCCh. 8.1 - Prob. 26PSCCh. 8.1 - Prob. 27PSDCh. 8.2 - Prob. 1PSACh. 8.2 - Prob. 2PSACh. 8.2 - Prob. 3PSACh. 8.2 - Prob. 4PSACh. 8.2 - Prob. 5PSACh. 8.2 - Prob. 6PSACh. 8.2 - Prob. 7PSACh. 8.2 - Prob. 8PSACh. 8.2 - Prob. 9PSBCh. 8.2 - Prob. 10PSBCh. 8.2 - Prob. 11PSBCh. 8.2 - Prob. 12PSBCh. 8.2 - Prob. 13PSBCh. 8.2 - Prob. 14PSBCh. 8.2 - Prob. 15PSBCh. 8.2 - Prob. 16PSBCh. 8.2 - Prob. 17PSBCh. 8.2 - Prob. 18PSCCh. 8.2 - Prob. 19PSCCh. 8.3 - Prob. 1PSACh. 8.3 - Prob. 2PSACh. 8.3 - Prob. 3PSACh. 8.3 - Prob. 4PSACh. 8.3 - Prob. 5PSACh. 8.3 - Prob. 6PSACh. 8.3 - Prob. 7PSACh. 8.3 - Prob. 8PSACh. 8.3 - Prob. 9PSACh. 8.3 - Prob. 10PSACh. 8.3 - Prob. 11PSACh. 8.3 - Prob. 12PSBCh. 8.3 - Prob. 13PSBCh. 8.3 - Prob. 14PSBCh. 8.3 - Prob. 15PSBCh. 8.3 - Prob. 16PSBCh. 8.3 - Prob. 17PSBCh. 8.3 - Prob. 18PSBCh. 8.3 - Prob. 19PSBCh. 8.3 - Prob. 20PSBCh. 8.3 - Prob. 21PSCCh. 8.3 - Prob. 22PSCCh. 8.4 - Prob. 1PSACh. 8.4 - Prob. 2PSACh. 8.4 - Prob. 3PSACh. 8.4 - Prob. 4PSACh. 8.4 - Prob. 5PSACh. 8.4 - Prob. 6PSACh. 8.4 - Prob. 7PSACh. 8.4 - Prob. 8PSACh. 8.4 - Prob. 9PSACh. 8.4 - Prob. 10PSACh. 8.4 - Prob. 11PSACh. 8.4 - Prob. 12PSBCh. 8.4 - Prob. 13PSBCh. 8.4 - Prob. 14PSBCh. 8.4 - Prob. 15PSBCh. 8.4 - Prob. 16PSBCh. 8.4 - Prob. 17PSBCh. 8.4 - Prob. 18PSBCh. 8.4 - Prob. 19PSBCh. 8.4 - Prob. 20PSBCh. 8.4 - Prob. 21PSBCh. 8.4 - Prob. 22PSCCh. 8.4 - Prob. 23PSCCh. 8.4 - Prob. 24PSCCh. 8.5 - Prob. 1PSACh. 8.5 - Prob. 2PSACh. 8.5 - Prob. 3PSACh. 8.5 - Prob. 4PSACh. 8.5 - Prob. 5PSACh. 8.5 - Prob. 6PSACh. 8.5 - Prob. 7PSACh. 8.5 - Prob. 8PSACh. 8.5 - Prob. 9PSACh. 8.5 - Prob. 10PSACh. 8.5 - Prob. 11PSACh. 8.5 - Prob. 12PSACh. 8.5 - Prob. 13PSACh. 8.5 - Prob. 14PSACh. 8.5 - Prob. 15PSACh. 8.5 - Prob. 16PSBCh. 8.5 - Prob. 17PSBCh. 8.5 - Prob. 18PSBCh. 8.5 - Prob. 19PSBCh. 8.5 - Prob. 20PSBCh. 8.5 - Prob. 21PSBCh. 8.5 - Prob. 22PSBCh. 8.5 - Prob. 23PSBCh. 8.5 - Prob. 24PSBCh. 8.5 - Prob. 25PSBCh. 8.5 - Prob. 26PSCCh. 8.5 - Prob. 27PSCCh. 8.5 - Prob. 28PSCCh. 8.5 - Prob. 29PSCCh. 8.5 - Prob. 30PSCCh. 8 - Prob. 1RPCh. 8 - Prob. 2RPCh. 8 - Prob. 3RPCh. 8 - Prob. 4RPCh. 8 - Prob. 5RPCh. 8 - Prob. 6RPCh. 8 - Prob. 7RPCh. 8 - Prob. 8RPCh. 8 - Prob. 9RPCh. 8 - Prob. 10RPCh. 8 - Prob. 11RPCh. 8 - Prob. 12RPCh. 8 - Prob. 13RPCh. 8 - Prob. 14RPCh. 8 - Prob. 15RPCh. 8 - Prob. 16RPCh. 8 - Prob. 17RPCh. 8 - Prob. 18RPCh. 8 - Prob. 19RPCh. 8 - Prob. 20RPCh. 8 - Prob. 21RPCh. 8 - Prob. 22RPCh. 8 - Prob. 23RPCh. 8 - Prob. 24RPCh. 8 - Prob. 25RPCh. 8 - Prob. 26RPCh. 8 - Prob. 27RPCh. 8 - Prob. 28RPCh. 8 - Prob. 29RPCh. 8 - Prob. 30RPCh. 8 - Prob. 31RPCh. 8 - Prob. 32RPCh. 8 - Prob. 33RPCh. 8 - Prob. 34RPCh. 8 - Prob. 35RP
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