Properties and Area of Parallelograms

The lesson covers the comparison of parallelograms and triangles, focusing on decomposing parallelograms into triangles and composing shapes from triangles. Activities include identifying identical triangles and forming parallelograms. Homework exercises reinforce these concepts.

What is the area of a parallelogram with a base of 2.4 cm and a height of 1 cm?

• 4.4 cm²

• 3.4 cm²

• 2.4 cm²

• 1.4 cm²

If a parallelogram has an area of 2.4 cm² and a height of 2 cm, what is the length of its base?

• 3.0 cm

• 2.0 cm

• 1.2 cm

• 2.4 cm

Which of the following shapes can be decomposed into two identical triangles?

• Circle

• Square

• Parallelogram

• Trapezoid

What is a key characteristic of quadrilaterals that can be decomposed into identical triangles?

• They have no parallel lines

• They are all parallelograms

• They have curved sides

• They are all trapezoids

Can all pairs of identical triangles be composed into a rectangle?

• Some can

• No, none can

• Yes, all can

• Only one can

What is the result when two identical triangles are arranged to form a shape?

• Always a rectangle

• Always a parallelogram

• Always a circle

• Always a square

In the homework, what is the area of a parallelogram with a base of 9 units and a height of 2/3 units?

• 3 units²

• 6 units²

• 9 units²

• 12 units²

If a parallelogram has an area of 12 units² and a base of 9 units, what is the height?

• 4/3 units

• 1/3 units

• 3/3 units

• 2/3 units

Which segments could represent a height if side n is the base?

• Segments longer than n

• Segments perpendicular to n

• Segments parallel to n

• Segments shorter than n

What is the base of a parallelogram if the area is 7 units² and the height is 1/4 unit?

• 21 units

• 35 units

• 14 units

• 28 units