Mth 9 Assessment

All quadrilateral are parallelogram.

• True

• False

• Maybe

• Sometimes

Answer explanation

This is always true. Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms.

Which statement about quadrilateral is TRUE?

• All rectangles are always squares

• All trapezoids are always rhombus

• All rectangles are always rhombus

• All rectangle are always parallelogram

Answer explanation

Yes, all rectangles are parallelograms because a rectangle has two sets of parallel sides and two pairs of opposite sides that are equal.

Which of the following is not a parallelogram?

• Rectangle

• Square

• Trapezium

• Square

Answer explanation

A parallelogram has both the pair of opposite sides as parallel and equal, whereas a trapezium has only one pair of parallel sides and no equal sides.

Consecutive angles of a parallelogram are

• Complementary

• adjacent

• Supplementary

• Congruent

Answer explanation

Opposite angles of a parallelogram are equal (or congruent) Consecutive angles are supplementary angles to each other (that means they add up to 180 degrees)

How many congruent triangles are formed when a diagonal of parallelogram is drawn?

• 1

• 2

• 3

• 4

Answer explanation

A diagonal of a parallelogram divides it into two congruent triangles.

A quadrilateral with exactly one pair of parallel sides.

• Square

• Trapezoid

• Rectangle

• Rhombus

Answer explanation

The only type of quadrilateral that has exactly one pair of parallel sides is a trapezium, also known as a trapezoid.

The diagonals of a rectangle have length 5x-11 and 2x+25. Find the lengths of the diagonals.

• 12

• 24

• 49

• 60

In parallelogram ABCD, if side AB = 56 then, How long is side CD.

• 56

• 74

• 124

• 180

The figure is a parallelogram. The diagonals AC and BD intersect at E, if AE = 2x AND EC = 12 what is x?

• 5

• 6

• 7

• 8

If LOVE is a parallelogram and SE = 6, what is SO?

• 3

• 6

• 9

• 12