A. True or FalseDetermine whether the statement is True or False. Write your answers only.1) A square is a rectangle but not a rhombus.2) All sides of a rectangle are congruent.3) The diagonals of a rhombus are perpendicular.4) A parallelogram is a rectangle..5) A quadrilateral is a parallelogram if its opposite sides are congruent.6) A quadrilateral is a parallelogram if a pair of opposite sides is parallel and congruent.7) A rhombus is a parallelogram with four angles congruent.8) The diagonals of a rectangle are congruent.9) The diagonals of a parallelogram bisect each other.10) A rectangle is a parallelogram with four right angles.​

Step-by-step explanation:

All rectangles are squares.

False

A rectangle need not have all sides equal hence it is not square.

B

All rhombuses are parallelograms

True

Since the opposite sides of a rhombus are equal and parallel to each other, it is also a parallelogram

C

All squares are rhombuses and are also rectangles.

True

All squares are rhombuses as all sides of a square are of equal lengths. All squares are also rectangles as each internal angle is 90 degrees.

D

All squares are not parallelograms.

False

The opposite sides of a parallelogram are of equal length hence squares with all sides equal are parallelograms.

E

All kites are Rhombuses.

False

A rhombus has all sides of equal length whereas a kite does not have all sides of equal length.

F

All rhombuses are kites.

True

Since all rhombuses have equal sides and diagonals bisect each other.

G

All parallelograms are trapeziums.

True

Since all trapeziums have a pair of parallel sides which is true for parallelograms as well.

H

All squares are Trapeziums.

True

All trapeziums have a pair of parallel sides, hence all squares can be trapezium.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 3

Video Solution:

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

NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.4 Question 1

Summary:

(a) All rectangles are squares - False (b) All rhombuses are parallelograms - True (c) All squares are rhombuses and also rectangles - True (d) All squares are not parallelograms - False (e) All kites are rhombuses - False (f) All rhombuses are kites - True  (g) All parallelograms are trapeziums - True (h) All squares are trapeziums - True 

☛ Related Questions:

Identify all the quadrilaterals that have: (a) four sides of equal length

(b) four right anglesExplain how a square is.

(i) a quadrilateral

(ii) a parallelogram

(iii) a rhombus

(iv) a rectangleName the quadrilaterals whose diagonals. (i) bisect each other

(ii) are perpendicular bisectors of each other

(iii) are equal

(i) parallelogram, rhombus, rectangle, and square bisect each other

. (ii) square and rhombus are perpendicular bisectors of each other.

(iii) rectangle and square are equal.Explain why a rectangle is a convex quadrilateral.

Answer:

1) F

2)F

3)T

4) can be true but also can be

10) T

9) F

7)T

Step-by-step explanation:

I know up to this only