Question 1: In a parallelogram, if one interior angle is 70°, find the measure of the opposite interior angle.

Answer: 70

Question 2: Calculate the length of a side of a parallelogram if its area is 120 cm², the base is 15 cm, and the height is 8 cm.

Answer: 8

Question 3: Construct a parallelogram with sides 6 cm and 10 cm, where the angle between the sides is 60°. Use the grid to draw accurately.

Answer: Student draws on grid

Question 4: State the properties of a parallelogram related to its sides and angles.

Answer: Opposite sides are equal and parallel; opposite angles are equal; consecutive angles are supplementary.

Question 5: If the diagonals of a parallelogram bisect each other, what can you conclude about the diagonals?

Answer: Diagonals bisect each other

Question 6: A parallelogram has sides of 8 cm and 12 cm. The height corresponding to the 12 cm side is 5 cm. Find its area.

Answer: 60

Question 7: In a parallelogram, if one angle measures 110°, what is the measure of the adjacent angle?

Answer: 70

Question 8: A parallelogram has diagonals of lengths 14 cm and 20 cm that bisect each other at right angles. Is this a special type of parallelogram? Explain briefly.

Answer: Yes, it is a rectangle or rhombus; diagonals bisect at right angles indicating a rhombus or rectangle with special properties.

Question 9: Identify and correct the mistake in this statement: 'All parallelograms have four right angles.'

Answer: Not all parallelograms have right angles; only rectangles do.

Question 10: Calculate the area of a parallelogram with sides 9 cm and 15 cm where the height corresponding to the 15 cm side is 6 cm.

Answer: 90

Question 11: Challenge: Prove that the area of a parallelogram is equal to the base times the height using the coordinate geometry method.

Answer: Students draw coordinates, find vectors, and demonstrate area calculation.