a Note that the quadrilateral can only have one pair of equal sides and one pair of equal sides. No more, no less.
B
b To bisect means to cut something in half. Note that there is no requirement as to if the diagonals are equal or perpendicular.
A
a An isosceles trapezoid.
B
bMust be: parallelogram.
Could be: square, rhombus, rectangle.
Practice makes perfect
a A quadrilateral is a polygon with four sides. We know that a pair of these sides are parallel. Let's start by drawing two parallel lines which fulfills one of the criterias.
Note that we can only have one pair of equal sides. Therefore, we cannot draw the next pair of sides perpendicular to the first pair as this would create two pairs of equal and parallel sides.
Instead, we must draw the second pair of sides so that they are equal in length but not perpendicular to the first pair of sides.
This shape is called an isosceles trapezoid.
b If the diagonals of the quadrilateral bisects each other, they cut each other into two equal halves. We haven't been given any information about the relative length of the diagonals or at what angle they cut each other. We have three possibilities.
By connecting the quadrilateral, we can identify what type of quadrilaterals we can draw.
The quadrilateral could be a square, rhombus, rectangle or a parallelogram. What these shapes all have in common is that they are parallelograms
must be:& parallelogram
could be:& square, rhombus, rectangle
