Four facts do all the work: opposite sides are equal, opposite angles are equal, consecutive angles add to 180, and the diagonals cut each other in half. Each one turns a picture into an equation.
Setting consecutive angles equal. Opposite angles match; consecutive ones add to 180, and picking the wrong pair gives a plausible answer that is simply not the one.
Also called parallelogram properties, opposite angles or diagonals of a parallelogram.
What you can put on this worksheet
Angles
Find x→ 8
Sides
In parallelogram ABCD, AB=2x−6 and CD=−4x+42. Find x→ 8
Diagonals
The diagonals of a parallelogram bisect: AE=2x−6 and EC=−4x+42. Find x→ 8
Questions about these worksheets
Yes. Every properties of parallelograms sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the properties of parallelograms questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
You pick from 3: angles, sides and diagonals. Tick as many as you want and set how many of each, or let it spread them evenly.
Setting consecutive angles equal. Opposite angles match; consecutive ones add to 180, and picking the wrong pair gives a plausible answer that is simply not the one.