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

By Formative Library
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Last updated over 2 years ago
10 Questions
1
1.
Here are some quadrilaterals, select all quadrilaterals that you think can be decomposed into two identical triangles using only one line.

6.G.1
1
2.
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
1
3.
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
1
4.
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
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5.
Two copies of this triangle are used to compose a parallelogram. Which parallelogram cannot be a result of the composition?
6.G.1
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6.
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
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7.
A parallelogram has a base of 9 units and a corresponding height of 2/3 units. What is its area?
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8.
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
1
9.
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
1
10.
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.)