Chapter 6.2, Problem 18WE

a)

To determine

To write: the conclusion of the given statement with additional statement.

Explanation of Solution

Given information:

The given statement is “Every square is a rhombus”

The given additional statement is “ $ABCD$ is a rhombus”.

Consider $ABCD$ is a rhombus

  $ABCD$ is may or may not be square.

Hence, conclusion is not possible.

b)

To determine

To write: the conclusion of the given statement with additional statement.

Explanation of Solution

Given information:

The given statement is “Every square is a rhombus”

The given additional statement is “ In quad $LAST$ , $LA\ne LT$ ”.

Consider $LA\ne LT$

The adjacent sides are not equal.

Hence, the quad $LAST$ is not a square.

C)

To determine

To write: the conclusion of the given statement with additional statement.

Explanation of Solution

Given information:

The given statement is “Every square is a rhombus”

The given additional statement is “ $PQRS$ is a square”.

Consider $PQRS$ is a square.

Every square is a rhombus.

Hence, conclusion is “ $PQRS$ is a rhombus”

d)

To determine

To write: the conclusion of the given statement with additional statement.

Explanation of Solution

Given information:

The given statement is “Every square is a rhombus”

The given additional statement is “ $GHIJ$ is not a square”.

Consider $GHIJ$ is not a square

Hence, no conclusion is possible.