Question

Draw a quadrilateral ABCD and then name:
A. All pairs of adjacent sides
B. All pairs of opposite sides
C. All pairs of adjacent angles
D. All pairs opposite angles

Answer 1

Hint: A quadrilateral is a four-sided polygon.

Complete step by step solution:

A. There are 4 pairs of adjacent sides, they are: (AB and BC), (BC and CD), (CD and DA) and (DA and AB).
B. There are 2 pairs of opposite sides. they are: (AB and CD) and (AD and BC).
C. There are 4 pairs of adjacent angles, they are: (α and β), (β and δ), (δ and γ), and (γ and α).
D. There are 2 pairs of opposite angles, they are: (α and δ) and (β and γ).

Additional Information:
1. Adjacent sides: A pair of sides of a quadrilateral that meet at the same vertex and share a common
     angle.
2. Opposite sides: A pair of sides of a quadrilateral that do not meet the same vertex.
3. Adjacent angles: A pair of angles of a quadrilateral that have a common side.
4. Opposite angles: A pair of angles of a quadrilateral that do not have a common side or are not
      adjacent.

Note: The above polygon ABCD has four sides, i.e., it is a quadrilateral. A special case of a quadrilateral whose two opposite sides are parallel is known as a parallelogram.