Open Up - Grade 6 - Mathematics - Unit 1 - Lesson 8
By Formative Library
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Last updated over 2 years ago
8 Questions
1
1.
To find the area of this right triangle, Diego and Jada used different strategies. Diego drew a line through the midpoints of the two longer sides, which decomposes the triangle into a trapezoid and a smaller triangle. He then rearranged the two shapes into a parallelogram.
Jada made a copy of the triangle, rotated it, and lined it up against one side of the original triangle so that the two triangles make a parallelogram.
Explain how Diego might use his parallelogram to find the area of the triangle. And also explain how Jada might use her parallelogram to find the area of the triangle.
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2.
Find the area of the triangle. Enter your answer in square units.
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3.
Find the area of the triangle. Enter your answer in square units.
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4.
Which of the three triangles has the greatest area?
If you get stuck, use what you know about the area of parallelograms to help you.
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5.
Draw an identical copy of each triangle such that the two copies together form a parallelogram.
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6.
A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area? Enter your answer in square units.
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7.
A parallelogram has a base of 3 units and an area of 1.8 square units. What is the corresponding height for that base? Enter your answer in square units.
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8.
A parallelogram has an area of 20.4 square units. If the height that corresponds to a base is 4 units, what is the base? Enter your answer in square units.
6.G.1
Source: Open Up Resouces (Download for free at openupresources.org.)