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Open Up - Grade 6 - Mathematics - Unit 1 - Lesson 7

Last updated 9 months ago

10 questions

1

Here are some quadrilaterals, select all quadrilaterals that you think can be decomposed into two identical triangles using only one line.

1

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?

1

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?

1

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

1

Two copies of this triangle are used to compose a parallelogram. Which parallelogram cannot be a result of the composition?

1

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.

1

A parallelogram has a base of 9 units and a corresponding height of 2/3 units. What is its area?

1

A parallelogram has a base of 9 units and an area of 12 square units. What is the corresponding height for that base?

1

A parallelogram has an area of 7 square units. If the height that corresponds to a base is unit, what is the base?

1

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

Source: Open Up Resouces (Download for free at openupresources.org.)