Third quarterly exam in Math 9

Amara is an engineer tasked designing a stable tabletop for a new dining table. To ensure stability, she decides to use a quadrilateral shape that is guaranteed to be a parallelogram. However, due to various manufacturing constraints, she needs to come up with a set of criteria to quickly identify whether a given quadrilateral is a parallelogram or not.

1.  Which of the following is not a characteristics of  a parallelogram?

• A.     Opposite      sides are parallel.

• A.     Opposite    angles are congruent.

• A.     Diagonals bisect each other.

• All       angles  are right angles.

In a quadrilateral, the opposite sides are both parallel and equal in length, and one angle is a right angle.
What is the most appropriate classification for this quadrilateral?

•  Parallelogram

• Rectangle

• Rhombus

• Trapezoid

• Opposite angles are congruent, and consecutive angles are complementary.

• Opposite sides are equal, and opposite angles are supplementary

• Diagonals bisect each other, and opposite sides are parallel.

• All sides are equal, and all angles are right angles.

STE 9 family agreed to settle in their 500 square meter lot in the middle of the forest. The lot there is unique since it is parallelogram in shape. They decided to maximize the lot by building a landmark in each of its boundary.

4. What is the total number of landmarks the STE 9 family needs to build to mark each boundary of their 500 square meter parallelogram lot?

• 2

• 4

• 6

• 8

5.What is te height of the lot required to maintain the total area of 500 square meters if the parallelogram shaped lot has a base of 20 meters?

• 10

• 15

• 20

• 25

6. In parallelogram WXYZ,

    diagonals WY and XZ are perpendicular bisectors of each other.

    Parallelogram WXYZ must be a?

     

• Rectangle

• Rhombus

• Rhombus and Square

• Rectangle , Rhombus and Square

7.  In a parallelogram WXYZ, the diagonal XZ forms ΔWXZ and ΔYXZ. What kind of triangles are formed?

• isosceles triangles

• equilateral triangle

•     scalene triangles

• equiangular triangles

8. The perimeter of a standard basketball court is 288 ft. Find the dimensions of the basketball court if its length is 44 feet longer than its width.

• 48 ft by 96 ff

•   50 ft by 94 ft

•     52 ft by 92 ft

• 54 ft by 90 ft

• 6

• 11

• 16

• 21

• 21

• 31.5

• 63

• 51.5