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

Last updated 11 months ago

10 questions

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Question 1

1.

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

A

B

C

D

E

F

Question 2

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?

True

False

Question 3

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?

True

False

Question 4

4.

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

True

False

Question 5

5.

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

A

B

C

D

Question 6

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.

Question 7

7.

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

Question 8

8.

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

Question 9

9.

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

Question 10

10.

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

g

k

m

j

e

h

n

f

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