Can anyone please help me on these math questions please?

Can someone please help me on these math questions please?? Thank you





1. Quadrilateral A B C D. angle B equals 65 degrees. Angle D equals 65 degrees. Angle B and D oppose each other. determine if the quadrilaterals are parallelograms. Explain your answers











2. Quadrilateral A B C D. Segment A B equals 7.25mm. Segment B C equals 5.2mm. Segment C D equals 7.25mm. Segment D A equals 5.2mm . determine if the quadrilaterals are parallelograms. Explain your answers














3. Quadrilateral A B C D on a graph. Point A is at (-5,-1) Point B is at (6,1) point C is at (4,-3) point D is at (-7,-5) Prove the quadrilateral is a parallelogram by using Theorem 5-7; if the diagonals of a quadrilateral bisect each other, then it is a parallelogram?? Prove the quadrilateral is a parallelogram by using Theorem 5-8; if one pair of opposite sides of a quadrilateral is both congruent and parallel, then it is a parallelogram. ??

Can anyone please help me on these math questions please?
1.yes, in a parallelogram, opposite angles are equal. by the way angles next to each other (angles a and C are next to B) are supplementary (sums equal 180 degrees)





2. yes, opposite sides are the same length.





3. you need to find the length of AC and BD using distance formula. then find the midpoint of each (using the mid-point formula. If the midpoints are the same, then the figure is a parallelogram.


b. Find lengths of all sides using distance formula. If opposite sides are not equal, you are done as it is NOT a parallelogram. If equal, then find the slopes of AB and CD and of BC and AD. If slopes are equal, then opposites sides are parallel and figures is a parallelogram. I'll let you do the work.





hope this helps