Ncert solutions

Ncert solutions

Grade 8

Understanding Quadrilaterals | Exercise 3.4

Question 1

Q1) State whether true or false:

(a) All rectangles are squares.

(b) All rhombuses are parallelograms.

(c) All squares are rhombuses and also rectangles.

(d) All squares are not parallelograms.

(e) All kites are rhombuses.

(f) All rhombuses are kites.

(g) All parallelograms are trapeziums.

(h) All squares are trapeziums.

Solution:

(a) False. Since squares have all sides are equal.

(b) True. Since, in rhombus, opposite angles are equal and diagonals intersect at mid-point.

(c) True. Since squares have the same property of rhombus but not a rectangle.

(d) False. Since all squares have the same property of parallelogram.

(e) False. Since all kites do not have equal sides.

(f) True. Since all rhombuses have equal sides and diagonals bisect each other.

(g) True. Since trapezium has only two parallel sides.

(h) True. Since all squares have also two parallel lines.

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subject-cta

Question 1

Q1) State whether true or false:

(a) All rectangles are squares.

(b) All rhombuses are parallelograms.

(c) All squares are rhombuses and also rectangles.

(d) All squares are not parallelograms.

(e) All kites are rhombuses.

(f) All rhombuses are kites.

(g) All parallelograms are trapeziums.

(h) All squares are trapeziums.

Solution:

(a) False. Since squares have all sides are equal.

(b) True. Since, in rhombus, opposite angles are equal and diagonals intersect at mid-point.

(c) True. Since squares have the same property of rhombus but not a rectangle.

(d) False. Since all squares have the same property of parallelogram.

(e) False. Since all kites do not have equal sides.

(f) True. Since all rhombuses have equal sides and diagonals bisect each other.

(g) True. Since trapezium has only two parallel sides.

(h) True. Since all squares have also two parallel lines.

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subject-cta
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