Chapter 6.3, Problem 8ST1

To determine

To find: the conclusion from given additional statement.

Answer to Problem 8ST1

Explanation of Solution

Given information:

If $\Delta ABC$ is acute, then $m\angle C\ne 90°$

Given:

All rhombuses are parallelograms.

Given options are,

1. $ABCD$ is not a parallelogram.
2. $QRST$ is not a rhombus.
3. $MNOP$ is a parallelogram.
4. $GHIJ$ is a rhombus.

Calculation:

Consider the statement:

All rhombuses are parallelograms.

There are four statements that follow.

Consider the additional statements as follows:

1. $ABCD$ is not a parallelogram.
2. $QRST$ is not a rhombus.
3. $MNOP$ is a parallelogram.
4. $GHIJ$ is a rhombus.

The conclusion from addition statement is as follows:

1. $ABCD$ is not a rhombus.
2. No conclusion.
3. No conclusion.
4. $GHIJ$ is a parallelogram.