WorksheetsProving Quadrilaterals
Total questions: 15
Worksheet time: 15mins
Is the quadrilateral a parallelogram?
Yes; one pair of opposite sides are parallel
Yes; one pair of opposite sides are congruent
Yes; opposite sides are parallel and congruent
No; only one pair of sides are parallel
No; only one pair of sides are congruent
Is the quadrilateral a parallelogram?
Yes
No
Not enough information.
Is there enough information to determine that this quadrilateral is a parallelogram?
yes, all opposite sides are congruent
yes, opposite angles are congruent
yes, opposite sides are parallel
yes, consecutive interior angles are supplementary
How long is the side CD?
7
3
35
27
Is there enough information to determine that this quadrilateral is a parallelogram?
yes, opposite sides are congruent
yes, opposite sides are parallel
no, not all pairs of opposite sides are congruent
no, not all pairs of opposite sides are parallel
State which method we can use to show that the quadrilateral is a parallelogram.
Both pairs of opposite angles are congruent.
Both pairs of opposite sides are congruent.
The diagonals bisect each other.
Both pairs of opposite sides are parallel.
Which theorem shows that the quadrilateral is a parallelogram?
Parallelogram Diagonals Converse
Parallelogram Opposite Sides Converse
Parallelogram Opposite Angles Converse
Opposite Sides Parallel and Congruent Theorem
Which theorem shows that the quadrilateral is a parallelogram?
Parallelogram Diagonals Converse
Parallelogram Opposite Sides Converse
Parallelogram Opposite Angles Converse
Opposite Sides Parallel and Congruent Theorem
Which theorem shows that the quadrilateral is a parallelogram?
Parallelogram Diagonals Converse
Parallelogram Opposite Sides Converse
Parallelogram Opposite Angles Converse
Opposite Sides Parallel and Congruent Theorem
Find the values of x and y that make the quadrilateral a parallelogram.
x = 3, y = 2
x = 25, y = 15
x = 15, y = 25
x = 113, y = 67
Find the values of x and y that make the quadrilateral a parallelogram.
x = 4, y = 3
x = 3, y = -2
x = 1, y = 4
x = 3, y = 4
Find the value of x that makes the quadrilateral a parallelogram.
x = -4
x = 1
x = 8
x = 34
Find the value of x that makes the quadrilateral a parallelogram.
x = 26
x = 7
x = 2
x = -2
How can you prove two diagonals bisect each other?
Use distance formula and prove they have the same length
Use midpoint formula and prove they have the same midpoint
Use the slope formula and prove they have the same slope
Use the slope formula and prove the slopes are perpendicular
If you can prove that one pair of opposite sides of a parallelogram are the same length and have the same slope, you can prove that it is a parallelogram.
Always
Sometimes
Never
