In the figure below MNOP is a parallelogram. Which of the following statements can be used to explain why the shaded triangles are congruent?

ΔNXO is the result of reflecting ΔPXM across a line parallel to line MP and through point X.ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.

Step-by-step explanation:

According to the choices given, only statements 1 and 3 are correct!

1. The difference of two rational numbers is always a natural number. TRUE
2. The ratio of two rational numbers is always positive .FALSE

3. The difference of two rational numbers is always a rational number. TRUE

4. The quotient of two rational numbers is always a real number (provided the denominator is non-zero). FALSE

5. The quotient of two rational numbers is always a rational number (provided the denominator is non-zero).TRUE 

6. The sum of two rational numbers is always a rational number. FALSE

7. The product of two rational numbers is always a rational number. FALSE