One method to see it's a trapezoid is to find the slope of lines BC and AD.
The slope formula is
m = (y2-y1)/(x2-x1)
You should find that BC and AD both have the same slope (of -1), so that means the lines are parallel. That proves we have a trapezoid.
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To prove this trapezoid is isosceles, you can use the distance formula
to find the lengths of AB and CD (the two non-parallel sides). You should find that AB = CD.
Because AB and CD are horizontal and vertical respectively, this means you can simply count out the spaces to find that AB and CD are 3 units each. For any other rotated version of this trapezoid, use the distance formula instead.
Answer:
An Euler circuit is a circuit that uses every edge of a graph exactly once. An Euler circuit starts and ends at the same vertex.
Step-by-step explanation:
Step-by-step explanation:
Area of Circle =
Answer:
Due to the distributive property the expression are the same.
Step-by-step explanation:
Sadie expression is "perimeter = 2*(length + width)", while Eric's is "perimeter = 2*length + 2*width". The value for both is always the same for any rectangle, because the expressions are the same due to the distributive property. To prove this we will expand Sadie's expression as shown below:
perimeter = 2*(length + width)
perimeter = 2*length + 2*width
Which is the same as Eric's.
