OpenUp 6th Math 1.7 Practice Problems and Vocab

To decompose a quadrilateral into two identical shapes, Clare drew a dashed line as shown in the diagram.

She said the that two resulting shapes have the same area. Do you agree? Explain your reasoning.

To decompose a quadrilateral into two identical shapes, Clare drew a dashed line as shown in the diagram. Did Clare partition the figure into two identical shapes? Explain your reasoning.

Explain your reasoning.

Triangle R is a right triangle. use two copies of Triangle R to compose a parallelogram that is not a square.

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. Select all that apply

• 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. Label the square with and S and the rectangle with and R.

• 28 square units

A parallelogram has a base of 9 units and an area of 12 square units. What is the corresponding height for that base? Do not simplify.

• 28 units

• 28 units

Select all segments that could represent a corresponding height if the side n is the base.

• e

• f

• g

• h

• j