Lesson 5: Practice Problems

Problem 1

Select all parallelograms that have a correct height labeled for the given base.

  1. parallelogram on grid
  2. parallelogram on grid
  3. parallelogram on grid
  4. parallelogram on grid

Problem 2

The side labeled has been chosen as the base for this parallelogram.

Draw a segment showing the height corresponding to that base.

A parallelogram on a grid with a side labeled b

Problem 3

Find the area of each parallelogram.

  1. 2-by-4 rectangle on grid
  2. parallelogram on grid with a horizontal side that is 5 units long and a height for the base 2 units
  3. parallelogram on grid, base is 2 units, and the height for this base is 4 units.

Problem 4

If the side that is 6 units long is the base of this parallelogram, what is its corresponding height?

A parallelogram with its bottom and top sides labeled 6 and its right side labeled 5. A dashed line perpendicular to the right side is labeled 4.8, and a dashed line perpendicular to the bottom side is labeled 4.

  1. 6 units

  2. 4.8 units

  3. 4 units

  4. 5 units

Problem 5

Find the area of each parallelogram.

  1. parallelogram with height 4 cm and base 9 cm
  2. parallelogram with base 5 cm and height 4 cm
  3. parallelogram with base b and height h

Problem 6 From Unit 1 Lesson 4

Do you agree with each of these statements? Explain your reasoning.

  1. A parallelogram has six sides.

  2. Opposite sides of a parallelogram are parallel.

  3. A parallelogram can have one pair or two pairs of parallel sides.

  4. All sides of a parallelogram have the same length.

  5. All angles of a parallelogram have the same measure.

Problem 7 From Unit 1 Lesson 2

A square with an area of 1 square meter is decomposed into 9 identical small squares. Each small square is decomposed into two identical triangles.

  1. What is the area, in square meters, of 6 triangles? If you get stuck, draw a diagram.

  2. How many triangles are needed to compose a region that is square meters?