Log inSign up for FREE
Library

Open Up - Grade 6 - Mathematics - Unit 1 - Lesson 8

Last updated 9 months ago
8 questions
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.

1

Find the area of the triangle. Enter your answer in square units.

1

Find the area of the triangle. Enter your answer in square units.

1

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.

1

Draw an identical copy of each triangle such that the two copies together form a parallelogram.

1

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.

1

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.

1

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.

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