Properties and Area of Parallelograms

Mr. Richards guides grade six students through a lesson on parallelograms, focusing on identifying correct heights, calculating areas, and understanding properties. The lesson also covers decomposing squares into triangles to explore area calculations further.

Which of the following parallelograms has the correct height labeled for the given base?

• A

• B

• C

• D

When drawing a height for a base in a parallelogram, what is essential?

• The height must be longer than the base.

• The height must be perpendicular to the base.

• The height must be parallel to the base.

• The height must be shorter than the base.

If a parallelogram has a base of 5 units and a height of 2 units, what is its area?

• 10 square units

• 12 square units

• 7 square units

• 15 square units

What is the area of a parallelogram with a base of 9 units and a height of 4 units?

• 36 square units

• 32 square units

• 40 square units

• 28 square units

Which statement about parallelograms is true?

• A parallelogram has six sides.

• Opposite sides of a parallelogram are parallel.

• All sides of a parallelogram are equal.

• A parallelogram can have one pair of parallel sides.

How many pairs of parallel sides does a parallelogram have?

• Three

• Two

• One

• Four

What is true about the angles in a parallelogram?

• All angles are equal.

• Opposite angles are equal.

• Adjacent angles are equal.

• All angles are right angles.

If a square is decomposed into 18 triangles, how many triangles make up half a square meter?

• 15

• 6

• 9

• 12

What is the area of six triangles if each triangle is part of a square with an area of one square meter?

• One-third square meter

• One square meter

• Half square meter

• Two-thirds square meter

How many triangles are needed to compose a region of one and a half square meters?

• 18

• 24

• 27

• 30