Question

For each of the following state the condition that supports why quadrilateral WXYZ is a pallelogram.

Answer 1

• 1.}--diagonals bisect each other
• 2...and...3}.---two pairs of opposite sides are parallel and equal
• 4.}--opposite angles are equal
• 5…}---diagonals bisect each other

• none. I has no solutions (in all x, y and z) because in case x+y+z is 3 it can never be 4. So, it's imposible to find any (x,y,z) so that they satisfy both equations.
• To find the slope, convert the equation 21x - 3y + 18 = 0 to slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept). To do so, first subtract 18 and 21x from both sides to get -3y = -21x - 18. Then divide both sides by -3 to get y = 7x + 6. Therefore the slope is 7.

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