Sign in to view assessments and invite other educators
Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.
To decompose a quadrilateral into two identical shapes, Clare drew a dashed line as shown in the diagram.
She said that the two resulting shapes have the same area. Do you agree? Explain your reasoning.
Did Clare partition the figure into two identical shapes? Explain your reasoning.
Triangle R is a right triangle. Can we use two copies of Triangle R to compose a parallelogram that is not a square?
If so, explain how or sketch a solution. If not, explain why not.
Two copies of this triangle are used to compose a parallelogram.
Which parallelogram cannot be a result of the composition? If you get stuck, consider using tracing paper.
A
B
C
D
On the grid, draw at least three different quadrilaterals that can each be decomposed into two identical triangles with a single cut (show the cut line). One or more of the quadrilaterals should have non-right angles.
Select all the segments that could represent the height if side \(n\) is the base.
\(e\)
\(f\)
\(g\)
\(h\)
\(m\)
\(n\)
\(j\)
\(k\)