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

By Formative Library
Last updated about 3 years ago
10 Questions

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

6.G.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?

6.G.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?

6.G.1

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

6.G.1

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

6.G.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.

6.G.1

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

6.G.1

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

6.G.1

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

6.G.1

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

6.G.1
Source: Open Up Resouces (Download for free at openupresources.org.)