Today's topic was on parallelograms (as made obvious by the title). The were two parts to the this lesson, and the first dealt with knowing properties of parallelograms, and using these properties to set up and solve problems. The first property is that all parallelograms and quadrilaterals. It MUST have four sides/angles to be a parallelogram. Below is a list of the other properties we discussed, along with pictures to help reinforce the concept:
The second half of the lesson went the opposite direction, posing the question: what information do I need to assume it is a parallelogram? Below is a list relationships you can use in testing whether a quadrilateral is a parallelogram or not:
On your homework, the front consists of the first half of the lesson. Given that the shapes are parallelograms, use the properties to set up equations to help you solve for the variables. On the back, you will use the second half of the lesson. How can you build the shape so you can assume it is a parallelogram?
The homework is attached below. Let me know if you have any questions!
-Mrs. Mooney
- If BOTH pairs of opposite sides are congruent, then the shape is a parallelogram.
- If BOTH pairs of opposite sides are parallel, then the shape is a parallelogram.
- If BOTH pairs of opposite angles are congruent, then the shape is a parallelogram.
- If the diagonals bisect each other, then the shape is a parallelogram.
- If ONE pair of opposite sides is congruent and ONE pair of opposite sides is parallel, then the shape is a parallelogram.
On your homework, the front consists of the first half of the lesson. Given that the shapes are parallelograms, use the properties to set up equations to help you solve for the variables. On the back, you will use the second half of the lesson. How can you build the shape so you can assume it is a parallelogram?
The homework is attached below. Let me know if you have any questions!
-Mrs. Mooney
parallelograms_hw.docx |