Learning Targets
I can show that the 3 side lengths that form a triangle cannot be rearranged to form a different triangle.
I can show that the 4 side lengths that form a quadrilateral can be rearranged to form different quadrilaterals.
Sometimes we are given a polygon and asked to find the lengths of the sides. What options do you have if you need to build a polygon with some side lengths? Sometimes, we can make lots of different figures. For example, if you have side lengths 5, 7, 11, and 14, here are some of the many, many quadrilaterals we can make with those side lengths:
Sometimes, it is not possible to make a figure with certain side lengths. For example, 18, 1, 1, 1 (try it!).
We will continue to investigate the figures that can be made with given measures.
Decide whether each equation is true or false. Be prepared to explain your reasoning.
4 • (-6) = (-6) + (-6) + (-6) + (-6)
-8 • 4 = ( -8 • 3) + 4
6 • (-7) = 7 • (-7) + 7
-10 - 6 = -10 - (-6)
Use the Applet to complete this activity and the next.
Diego built a quadrilateral using side lengths of 4 in, 5 in, 6 in, and 9 in.
Build such a shape.
Is your shape an identical copy of Diego’s shape? Explain your reasoning.
Jada built a triangle using side lengths of 4 in, 5 in, and 8 in.
Build such a shape.
Is your shape an identical copy of Jada’s shape? Explain your reasoning.
Han built a shape using side lengths of 3 in, 4 in, and 9 in.
Build such a shape.
What do you notice?
How is building a triangle with three given side lengths different from building a quadrilateral with four given side lengths?
the triangle has to be a specific one
the quadrilateral might be a lot of different things by changing the angles
Check Google Classroom!