# In 13,15, tell whether each conclusion follow from the given premises. If not, draw a counter-example. question 13in a rhombus, diagonals are perpendicular to each other. ...

In 13,15, tell whether each conclusion follow from the given premises. If not, draw a counter-example.

question 13in a rhombus, diagonals are perpendicular to each other.

A rhombus is a parallelogram

Conclusion: in a parallelogram , diagonals are perpendicular to

each other.

Question 15 Consecutive angles of a parallelogram are supplementary.

A rhombus is a parallelogram

Conclusion: consecutive angles of a rhombus are supplementary.

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### 3 Answers

question 13 . In a rhombus, diagonals are perpendicular to each other.

A rhombus is a parallelogram

Conclusion: in a parallelogram , diagonals are perendicular to each other.

**Conclusion is not correct** . Reactangle is parallelogram but diagonals are perpendicular.

Question 15. Consecutive angles of a parallelogram are supplementary.

A rhombus is a parallelogram

Conclusion: consecutive angles of a rhombus are supplementary.

**Yes ,conclusion is correct**. Co-interior angles in parallel lines , intersected by transversal are supplementry. Thus cosecutive angles of rhombus are supplementry.

Sorry.Please read this corrction for question 13.

In all parallelogram diagonals are perpendicular to each other.Thus in Rhombus alos diagonals are perpendicular to each other.Assertion is true.

Q13. Rhombus is parallelogram. But in all parallelogram diagonal are nt perpendicular. For example Reactagle is parallelogram bu diagonals are not perpendicular.

Q15. Rhombus is parallelogram.Opposite sides are parallel ,so cointerior or consecutive angles are supplementry.Thus consecutive angles of rhombus are supplementry.