In trapezoid abcd with bases ab and dc , diagonals intersect at point o. prove that: ao/bo = ac/bd = co/do

Step-by-step explanation:

Given: ABCD is a trapezoid with bases AB and DC, and the diagonals intersect at point O.

To prove:

Construction: Draw EF parallel to both AB and DC which passes through o.

Proof: In ΔADC, we have

EO is parallel to DC( because EF is parallel to DC)

Therefore, (Line drawn parallel to one side of triangle, intersects the other two sides at different points, thus dividing the other two in equal ratio.)                                    (1)

Similarly, in ΔDBA,

EO is parallel to AB

Thus,                            (2)

From equations (1) and (2),

Also, diagonals bisect each other at O, therefore

Hence proved.

step-by-step explanation:

so first find out how much each is worth.

quarter= 25 cents

dime= 10 cents

pennies= 1 cent

then multiply each by how much each is worth.

200                     150                   300

x                         x                     x   1

  25                       10              

                                  300

1000                     1500

+                          

4000                                      

5000                                  

then count 2 from the back and add a period.

$50.00

$15.00

$3.00

and then add them

  $50.00

+

  $15.00

+

    $3.00

$68.00

so sunghee has $68.00

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