Quadrilaterals. Today’s Learning Goals. We will learn that quadrilaterals are NOT stable figures that keep their shape under stress. We will understand the quadrilateral inequality – the sum of the lengths of any three sides of a quadrilateral is greater than the length of the fourth side.
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
Yes…opposite sides look like they are the same length for parallelograms.
Consider the highlighted angle. Since AD || BC and AC is a transversal, which numbered angle is equal to the highlighted angle?
Great…m(1) = m(3) because they are alternate interior angles.
Now, consider the blue highlighted angle. Knowing that CD || AB and AC is a transversal, which numbered angle is equal to the blue highlighted angle?
Great…m(4) = m(2) because they are also alternate interior angles.
Yes…a, b, and c are all rectangles because they are quadrilaterals with four right angles.
Great…b, c, and d are all rhombi because they all have four side lengths with the same measurement.
Nice…d is the only trapezoid. The other shapes all have two pairs of parallel sides.
Okay…some people think you would be able to and some think you might not.
Nice…it could be a square, rectangle, rhombus, and/or a parallelogram.
Great…put a length across the diagonal to make two triangles from the quadrilateral.
Yes…4 + 4 + 6 < 17 so the sides will never meet to make a quadrilateral.
Determine which set or sets of side lengths below can make the following shapes.
i) A quadrilateral with all angles the same size.
ii) A parallelogram.
iii) A quadrilateral that is not a parallelogram.
a) 5, 5, 8, 8
b) 5, 5, 6, 14
c) 8, 8, 8, 8
d) 4, 3, 5, 14