Aviation Mathematics - REVISION - CHAP3 - Lesson 3.4

List all the quadrilaterals that have the given property: Both pairs of opposite sides are parallel.

• a. Parallelogram b. Rectangle c. Rhombus d. Square

• a. Trapezium b. Kite c. Scalene Quadrilateral d. Rectangle

• a. Rectangle b. Trapezium c. Kite d. Rhombus

• a. Parallelogram b. Trapezium c. Kite d. Square

List all the quadrilaterals that have the given property: Both pairs of opposite sides are congruent.

• a. Parallelogram b. Rectangle c. Rhombus d. Square

• a. Trapezium b. Kite c. Scalene Quadrilateral d. Irregular Quadrilateral

• a. Trapezium b. Rectangle c. Rhombus d. Square

• a. Parallelogram b. Kite c. Rhombus d. Square

List all the quadrilaterals that have the given property: Both pairs of opposite angles are congruent.

• a. Parallelogram b. Rectangle c. Rhombus d. Square

• a. Trapezium b. Kite c. Scalene Quadrilateral d. Isosceles Trapezium

• a. Trapezium b. Rectangle c. Kite d. Rhombus

• a. Parallelogram b. Trapezium c. Rectangle d. Kite

List all the quadrilaterals that have the given property: Exactly one pair of opposite sides is parallel.

• Trapezoid OR Isosceles Trapezoid

• Parallelogram

• Rectangle

• Rhombus

If the following quadrilaterals are parallelograms, find the values of x, y, and z.

• x = 29°, y = 73°, z = 102°

• x = 151°, y = 29°, z = 102°

• x = 29°, y = 29°, z = 78°

• x = 78°, y = 29°, z = 58°

If the following quadrilaterals are parallelograms, find the values of x, y, and z.

• x = 31°, y = 44°, z = 105°

• x = 44°, y = 31°, z = 105°

• x = 31°, y = 31°, z = 118°

• x = 78°, y = 29°, z = 58°

Explain why it is impossible for this figure to be a parallelogram.

• Opposite sides of a parallelogram must be equal, but here they are not.

• The figures have more than four sides, which is not allowed for parallelograms.

• All angles in a parallelogram must be right angles, but these are not.

• A parallelogram must have all sides of different lengths, but these do not.

Explain why it is impossible for each figure to be a parallelogram.

• Opposite angles of a parallelogram must be equal, but here they are not.

• All angles of a parallelogram must be equal, but here they are not.

• The diagonals of a parallelogram must be perpendicular, but here they are not.

• The opposite angles in a parallelogram must be supplementary, but here they are not.

Use rectangle ABCD and the given information to complete the following. If AC = 4x - 60 and BD = 30 - x, find BD.

• BD = 12

• BD = 18

• BD = 24

• BD = 42

In the given rectangle, if ∠BAC = 4x + 5 and ∠CAD = 5x - 14, find ∠CAD.

• ∠CAD = 41

• ∠CAD = 31

• ∠CAD = 69

• ∠CAD = 72