Theorems
When a quadrilateral is proven to be a parallelogram, then each pair of opposite sides are parallel and this.
What is Congruent?
The definition of a square is a four sided polygon that has four right angles and four equal sides. Based on this, can a square be considered a parallelogram?
Yes.
If a farmer wants to make a corn field in the shape of a parallelogram (don't judge), and the base of the corn field is 85 feet, how long would the opposite side of the field need to be?
85 feet.
If any parallelogram has one right angle, it also concludes that the same shape has four of these.
What are Right Angles?
A trapezoid has supplementary consecutive angles but does not have two pairs of parallel sides. Could this be considered a parallelogram?
No
Jake has a trapezoid shaped eraser. His friend Connor claims that his eraser is a parallelogram because its consecutive angles add to 180 degrees. Jake disagrees because it only has one pair of opposite parallel sides. Who is correct in the argument?
Jake is correct. A parallelogram must have two pairs of opposite parallel sides.
If a quadrilateral is a parallelogram then both of its diagonals do this to each other.
What is Bisect?
A rhombus has all the other defining characteristics of a parallelogram, but all sides of the rhombus are congruent. Is this still a parallelogram?
Yes
A parallelogram has one angle equal to 90 degrees, a right angle. Based on this, how many right angles (including the one mentioned) are in the parallelogram?
What is Four?
When a quadrilateral is proven to be a parallelogram, that means that each pair of consecutive angles are this type of angle pair.
What is Supplementary?
If a quadrilateral has two pairs of opposite sides equal in length, can we say that this is a parallelogram?
Yes (According to the properties of a parallelogram)
A parallelogram has the measure on one of its sides as 12 units and another side (not the last measure's opposite) is 8 units. Calculate the perimeter of this shape.
What is fourty?
When a quadrilateral is proven to be a parallelogram, then its diagonals create two pairs of these shapes.
What are Triangles?
If a quadrilateral has only one pair of opposite sides that are both parallel and congruent, can we declare this shape is a parallelogram?
Yes (If one pair is Congruent and parallel, the other pair of opposite sides would have to be parallel and congruent to close the shape.)
Lucy is making her own parallelogram for a school project and she wants to add diagonals inside it. She wants to measure each side to make sure they Bisect each other. One one line, she gets 18 cm. and 20 cm. Based on this info, did she draw a parallelogram?
No