Question

Q.2 In the given diagram, AB and DC are adjustable supports of a basket ball hoop. Explain why AB is
always parallel to DC?
A 18 in.
B 36 in.
D 36 in.
C 18 in.
​

Answer 1

Answer:

Its a parallelogram as both the pairs of opposite sides are equal and thus, both the pairs of opposite sides are parallel .

Answer 2

Opposite sides are congruent.

Step-by-step explanation:

• In the given diagram, let us consider the quadrilateral ABCD where AB and DC are adjustable supports.

• Given that the length of AB and DC is 36 inches.

• Also, the length of AD and BC is 18 inches.

• So, it directly implies that $AB\cong DC$ and $AD\cong BC$.

• According to the theorem,

        If a quadrilateral has congruent opposite sides, then it is a parallelogram.

• So $\square ABCD$  is a parallelogram.

• Therefore, $AB \parallel DC$ and $AD \parallel BC$.