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Quadrilaterals Quiz:
Test on properties of quadrilaterals, parallelograms and their classification
Prove that A(0,0), B (3,4) , C (7,9) and D (4,5) be a parallelogram?
To solve this problem use coordinate geometry proof.
2) Show all work
- The slope of AB = 4/3
- The slope of CD = (9−5)/(7−4) = 4/3
- The slope of AD = 5/4
- The slope of CB= (9 − 4)/(7− 3) = 5/4
Draw a conclusion
- AB || CD and AD || CB because both pairs of opposite sides have the equal slope.
- ABCD is a parallelogram since the opposite sides are parallel
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Since this is a parallelogram and we we know that one angle is 90°, all angles must be 90°. Remember consecutive angles in a parellelogram are supplementary and opposite angles are congruent. Therefore, all 4 angles are 90° and this quadrilateral is a rectangle. Also,
AEB and 
AED is isosceles and 
