Properties of Parallelograms

Properties of Parallelograms

Everything you'll ever need to know about parallelograms (unless you become a parallelologist)

Open Ended

 $\parallel$  Define parallel

What is a parallelogram?

• A parallelogram is a quadrilateral (four-sided) polygon created by 2 pairs of intersecting parallel lines

• Vocab breakdown:

• Parallelogram is a fusion of parallel and the ending -gram

• Parallel - lines that have the same slope in a plane

• -gram is a fairly common suffix that usually indicates writing and language (such as program and telegram), or drawing (such as diagram and histogram)

• This is NOT to be confused with the measure of mass, gram, that is the root for words like kilogram

Multiple Select

What is a parallelogram?

• A set of parallel lines that weigh one gram (metric)

• A four-sided polygon whose opposite sides are parallel

• A golf derivative that substitutes the common delicious cracker for the club

Open Ended

Define congruent

Rules for Parallelograms

you should probably write these down, yo

Opposite Sides are Parallel

 $\overline{AD}\ \parallel\ \overline{BC}$  
 $\overline{AB}\ \parallel\ \overline{CD}$  

Multiple Choice

Select the parallelogram:

Opposite Sides are Congruent

 $\overline{AD}\ \cong\ \overline{BC}$  
 $\overline{AB}\ \cong\ \overline{CD}$  

Fill in the Blank

What is the length of side C?

Opposite Angles are Congruent

 $\angle A\ \cong\angle C$  
 $\angle B\ \cong\angle D$  

Fill in the Blank

What is the measure of $\angle B$ in degrees (don't include the degree symbol)?

Multiple Choice

Which pair of angles is supplementary?

• 45° + 45°

• 90° + 100°

• 50°

• 130° + 50°

Adjacent Angles are Supplementary

 $\angle C\ +\ \angle D\ =\ 180\degree$   

 $\angle C\ +\ \angle B\ =\ 180\degree$  

 $\angle A\ +\ \angle B\ =\ 180\degree$  
 $\angle A\ +\ \angle D\ =\ 180\degree$  

Fill in the Blank

What is the measure of $\angle D$ in degrees (don't include the degree symbol)?

Open Ended

Define bisect (think bicycle and sections)

Diagonals Bisect Each Other

That is, they both cut the other in half!

Open Ended

Please share one positive thing about your week so far, and one thing you learned in class today.