Respuesta :
Answer:
- Every quadrilateral is a parallelogram-----False
- Every square is a rhombus----True
- No parallelogram is a rhombus----True
- Every parallelogram is a rhombus----False
- Every square is a rectangle----False
- Every square is a parallelogram----True
Step-by-step explanation:
A quadrilateral is polygon with 4 sides. It can be anything: a parallelogram, a rhombus, a trapezium,etc
Properties of parallelogram:
- Opposite sides are congruent
- Opposite angles are congruent
- consecutive angles are supplementary,i.e. they add up to 180°
- If one angle is right, then all other angles are right (rectangle)
- The diagonals of a parallelogram bisect each other
A rectangle is a parallelogram with its angles equal to 90°.
A rhombus is a parallelogram with all sides of same measure.
A square is a rhombus with its angles equal to 90° and also a rectangle with equal sides.
now,
- Every quadrilateral is a parallelogram----False as quadrilateral can be any 4 sided polygon but a parallelogram is a quadrilateral
- Every square is a rhombus----True as said above square is a rhombus with its angles equal to 90°.
- No parallelogram is a rhombus----True as Rhombus is a parallelogram with equal sides but parallelogram is not a rhombus.
- Every parallelogram is a rhombus----False as Rhombus is a parallelogram with equal sides but parallelogram is not a rhombus.
- Every square is a rectangle----False as square is a rectangle with equal sides but rectangle is not a square.
- Every square is a parallelogram-----True as square ia parallelogram with sides of equal measure and angles equal to 90°.
Answer:
1.) false
2.) false
3.) true
4.) flase
5.) true
Step-by-step explanation:
