Grade 6 | Unit 1 | Lesson 5: Bases and Heights of Parallelograms | Practice Problems

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

• A

• B

• C

• D

The side labeled \(b\) has been chosen as the base for this parallelogram. Draw a segment showing the height corresponding to that base.

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Find the area of each parallelogram. Description:

3 parallelograms on a grid, labeled A, B, C. Parallelogram A, base = 4 units, height = 2 units. Parallelogram B, base = 5 units, height = 2 units. Parallelogram C, base = 2 units, height = 4 units.

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

• 6 units

• 4.8 units

• 4 units

• 5 units

Find the area of each parallelogram. Description:

3 parallelograms labeled A, B, C. Parallelogram A, base = 9 centimeters, height = 4 centimeters. Parallelogram B, base = 5 centimeters, height = 4 centimeters. Parallelogram C, base = b, height = h.

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Do you agree with each of these statements? Explain your reasoning. A parallelogram has six sides. Opposite sides of a parallelogram are parallel. A parallelogram can have one pair or two pairs of parallel sides. All sides of a parallelogram have the same length. All angles of a parallelogram have the same measure.

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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. What is the area, in square meters, of 6 triangles? If you get stuck, consider drawing a diagram. How many triangles are needed to compose a region that is \(1\frac 12\) square meters?

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