Construct the midpoint of side BC and label it E. Extend segments AE and DC and let F be the point where they intersect (as shown in the figure). Measure the sides of the trapezoid. Measure also. Observe the measurements as you change the size and shape of Trapezoid ABCD. In a textbox, write a conjecture about the relationship between the lengths of two or more of the sides of the trapezoid and equation. This conjecture should be an equation rather than an inequality. Solution AB + CD = DF. Triangle ABE = triangle FCE (as BE = CE, alternate angles ABE = BCE, alternate angles BAE = CFE). Therefore corresponding sides CF and AB are equal. Thus AB + CD = DC +CF = DF.

1. Construct the Post Closing Trial balance for the year ending june 30, 1015 from the following
trial balance:
City of Middleberry
Capital Projects Fund #1
Post Closing Trial Balance
June 30, 2015
Debit
Credit
Cash
3,292
Due from State
810
Contracts Payable
2,250
Retainage Payable
250
Encumbrances
1,900
Encumbrances Outstanding
1,900
Revenues – Intergovernmental
810
Expenditures – Debt Service – Interest
8
Expenditures – Debt Service – Bond Issue Costs
20
Expenditures – Capital Outlay
2,700
OFS – BANs Principal
400
OFS – Bond Premium
90
OFS – Bond Principal
3,000
OFS – Transfer from GF

2. 500
OFU – Repayment of BANs
400
OFU – Transfer to DSF #1
70
9200
9200
City of Middleberry
Capital Projects Fund #1
Post Closing Trial Balance
June 30, 2015
Debit
Credit
Cash
3,292
Due from State
810
Contracts Payable
2,250
Retainage Payable
250
Encumbrances
1,900
Encumbrances Outstanding
1,900
Revenues – Intergovernmental
810
Expenditures – Debt Service – Interest
8
Expenditures – Debt Service – Bond Issue Costs
20
Expenditures – Capital Outlay
2,700
OFS – BANs Principal
400
OFS – Bond Premium

3. 90
OFS – Bond Principal
3,000
OFS – Transfer from GF
500
OFU – Repayment of BANs
400
OFU – Transfer to DSF #1
70
9200
9200
Solution
TRIAL BALANCE CAPITAL PROJECT FUND FOR THE PERIOD ENDED JUNE
30 2015 Account Title Debit Credit Cash 3292.00 Due from state 810.00
Fixed Assets 2700.00 Contract Payable 2250.00 Retainage Payable 250.00
Bond 3000.00 Bond Premiyum 90.00 General Fund 1212.00 TOTAL 6802.00
6802.00