The midpoints of an irregular quadrilateral ABCD are connected to form another quadrilateral inside ABCD. Complete the explanation of why the quadrilateral is a parallelogram.

Suppose: M, N, P, Q are the midpoints of AB, BC, CD, AD respectively

=> MNPQ is the quadrilateral inside ABCD

connect B to D, ΔABD has : M is the midpoint of AB

                                               Q is the midpoint of AD

=> MQ is the midpoint polygon of ΔABD

=> MQ // BD and MQ = 1/2.BD (1)

ΔBCD has: N is the midpoint of BC

                   P is the midpoint of DC

=> NP is the midpoint polygon of ΔBCD

=> NP // BD and NP = 1/2.BD    (2)

from (1) and (2) => MQ // NP ( //BD)

                             MQ = NP  (=1/2.BD)

=> MNPQ is a parallelogram.

=>  the quadrilateral inside ABCD is a parallelogram.

Step-by-step explanation:

d

Step-by-step explanation:

Solution:-

The experimental unit is the physical entity which can be assigned, at random, to a treatment. ( The treatment in our scenario is the effect of two types of fertilizers Type A and Type B on the plants )

- Commonly it is an individual animal - plant. The experimental unit is also the unit of statistical analysis. ( statistical analysis is done on the plants divided into two groups: Group 1 and Group 2 )

- However, any two experimental units must be capable of receiving different treatments. ( Group 1 - Type A fertilizer ) & ( Group 2 - Type B fertilizer ).

The experimental unit are the two groups ( Group 1 and Group 2 ) each consists of 20 plants.