ANSWER #2 1. Write each of the following in "If p, then q" form.a. Every square is a rectangle.b. Being older than 30 is sufficient to show that I am at least 21.2. Write the converse, inverse and contrapositive of: "If we have a quiz today, then we will not havea quiz tomorrow.3. Determine whether the given statements are equivalent.a. If a = b, then a · c = b.cIf a + b, then a · c + b ·cb. If I live in Nashville, then I live in Tennessee.If I do not live in Tennessee, then I do not live in Nashville.4. Write the contrapositive of each statement and use he contrapositive to determine whether theoriginal statement is true or false.a. If 3 + x is an odd integer, then x is an even integer. (Assume x is an integer)b. If two triangles are not similar triangles, then they are not congruent triangles.Note: Similar triangles have the same shape. Congruent triangles have the same size andshape.c. If today is not Wednesday, then tomorrow is not Thursday.

Given: 2. a statement "If we have a quiz today, then we will not have a quiz tomorrow". To find: Converse, inverse and contrapositive statement of given statement. Here we have given the statement, "If we have a quiz today, then we will not have a quiz tomorrow". Since the converse, inverse and contrapositive statement of "If p, then q" is given in table below: Statement If p, then q Converse If q, then p Inverse If not p, then not q Contrapositive If not q, then not p Therefore, the converse of given statement is: "If we will not have a quiz tomorrow, then we have a quiz today". Inverse of given statement is: "If we will not have a quiz today, then we will have a quiz tomorrow". Contrapositive of given statement is: "If we have a quiz tomorrow, then we will not have a quiz today". Answer: Converse: "If we will not have a quiz tomorrow, then we have a quiz today". Inverse: "If we will not have a quiz today, then we will have a quiz tomorrow". Contrapositive: "If we have a quiz tomorrow, then we will not have a quiz today".