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Chapter 6: Q8. (page 218)

Use the conditional: If 螖ABCis acute, then m鈭�C鈮�90.

Given: All rhombuses are parallelogram. What can you conclude from each additional statement? If no conclusion is possible, write no conclusion.

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

Short Answer

Expert verified

The conclusion of the additional statement (a) and (d) exists.

Step by step solution

01

Step 1. Check the statement.

Consider the statement 鈥淎ll rhombuses are parallelogram.鈥�

02

Step 2. Step description.

a. ABCD is not a parallelogram.

The conclusion of the statement is 鈥淎BCD is not a rhombus.

b. QRST is not a rhombus.

No conclusion of the statement.

03

Step 3. Step description.

c. MNOP is a parallelogram.

No conclusion of the statement.

d. GHIJ is a rhombus.

The conclusion of the statement is 鈥淕HIJ is a parallelogram.鈥�

The conclusion exists only for the statements (a) and (d).

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