Question

consider the following sets:
which set is a subset of set p?
p = {x | x is a parallelogram}
c = {x | x is a circle}
k = {x | x is a kite}
r = {x | x is a rectangle}
t = {x | x is a trapezoid}

Explanation:

Step1: Recall the definition of a subset

A set \(A\) is a subset of set \(B\) (\(A\subseteq B\)) if every element of \(A\) is also an element of \(B\).

Step2: Analyze each set

• Set \(C\): A circle is not a parallelogram. So \(C

subseteq P\).

• Set \(K\): A kite is not a parallelogram (a parallelogram has both pairs of opposite sides parallel, a kite has two pairs of adjacent sides equal). So \(K

subseteq P\).

• Set \(R\): A rectangle is a type of parallelogram (it has both pairs of opposite sides parallel). So \(R\subseteq P\).
• Set \(T\): A trapezoid has only one pair of opposite sides parallel (in the non - inclusive definition). So \(T

subseteq P\).

Answer:

R.