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Chapter 5: Q11 (page 180)

AE鈫�,BF鈫�,CG鈫�and DH鈫� are parallel, with EF=FG=GH. Complete.

If AC=12, thenCD= ? .

Short Answer

Expert verified

The length of CD is 6 units.

Step by step solution

01

Step 1. Consider the diagram.

The parallel lines are shown as:

AE, BF, CG and DH are parallel to each other and EF=FG=GH.

The length of AC is 12 units

02

Step 2. Show the calculation.

Here, ADHE is the trapezoid as AE is parallel to DH.

As EF=FG=GH and AE, BF, CG and DH are parallel to each other then the lines BF and CG are the midsegment of the trapezoid.

Hence,

AB=BC=CD

The length of CD is calculated as:

AC=AB+BC12=CD+CD12=2CDCD=6

Thus, the length of CD is 6 units.

03

Step 3. State the conclusion.

Therefore, the length of CD is 6 units.

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