Question

# Which of the following are true? i) All squares are rhombuses. ii) All parallelograms are rectangles. iii) All rhombuses are trapeziums iv) All squares are rectangles.

A

ii, iii

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

i, ii

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

i, iii, iv

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

None of these

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D None of these Rhombus has equal sides and their diagonals bisect at 90∘. Square satisfies these conditions. So, (i) is true A rectangle has all angles equal to 90∘ This is not the case with parallelograms. So, (ii) is false A rhombus has all sides equal and diagonals bisecting other. While a trapezium has one pair of equal parallel sides So, (iii) is false. Rectangle has all angles as 90∘and equal opposite sides. Square also has all angles as 90∘ and all equal sides, hence equal opposite sides. So, (iv) is true.

Suggest Corrections
1
Related Videos
Summary
MATHEMATICS
Watch in App