Question

I have a GEOMETRY PROBLEM PLEASE HELP!!!
"You will use coordinate geometry to construct your map." I had to pick a quadrilateral,which I did -- a trapezoid ( not isosceles). I calculated all of the slopes. (I will post a picture) and now I have to use properties of quadrilaterals to show directions. I picked these three : "consecutive angles between the bases are supplementary and that all 4 angles add up to 360 ,the mid-segment is half the sum of the two bases." The problem is that I do NOT understand of how to use these in my directions ,Please Help.

Answer 1

can you clarify this part
now I have to use properties of quadrilaterals to show directions

what do you mean by direction? slope?

Answer 2

"You need to create a set of directions so you can come back and find the treasure later. Your directions need to explain how to get from each destination on the map to the next one. Use the properties of quadrilaterals in your directions. At least three different quadrilateral properties must be used.

What does it mean to use properties of quadrilaterals in your directions? Here is an example: If your map is in the shape of a parallelogram, your opposite sides will have equal slopes. You could say that to get from Point A to Point B you travel up 3 units and right 2 units to the Palm Tree. From there you might travel East 5 units to Point C. From Point C, you would travel down 3 and left 2 units, where X marks the spot. This proves that the slopes of opposite sides are equal. Include two more properties in your directions. Don’t forget to finish the directions to return to the starting point. "

Answer 3

anyone?

Answer 4

OK. Some properties don't seem easy to use.

Answer 5

Here is an attempt:

start at the lower left corner and go half-way up the left side.
add the lengths of the top and bottom and divide by 2. go that distance to the right.
(You should end up on the right side, half-way up)
that used the property
the mid-segment is half the sum of the two bases.

Answer 6

ok, I understand,but I have to use two more

Answer 7

another one (even more goofy than the first one)

once you are on the right side, turn so you are looking at the top right corner.
Now turn xº (where xº will be the angle formed by the right side with the top side).
Next turn yº (where yº is the angle formed by the top side and the left side)
Because x+y=180, we will be pointing in the opposite direction from where we started. i.e. pointing toward the bottom right corner.

Answer 8

and that would be for the "consecutive angles between the bases are supplementary" ?

Answer 9

yes.

Answer 10

Though I think the angles should be
Now turn xº (where xº will be the angle formed by the right side with the top side).
Next turn yº (where yº is the angle formed by the right side and the bottom side)

Answer 11

now what about the "all 4 angles add up to 360 degrees", how would I prove that?

Answer 12

If we label the other two angles u and v (they are formed by the left side with the top and bottom sides, respectively), they will also add up to 180, and with x and y add up to 360
so we could say, face in some direction, then turn, xº, then yº, uº and finally vº
(we will end up facing the same direction that we started)

Answer 13

I see,Thank You so much , would not have done it without you:)

Answer 14

yw