kirstenwitmer77
contestada

which of the following statements are true?
statement 1: a parallelogram is always a rectangle.
statement 2: a square is always a rhombus.
statement 3: a rectangle is always a square.
plz help need this asap!!

Respuesta :

JeanaShupp

Answer:  statement 2: a square is always a rhombus.

Step-by-step explanation:

A parallelogram does not have all the interior angle as right angle.

Therefore, it does not satisfy property of rectangle.

A square has all sides equal and its diagonals are perpendicular bisector.

Thus,  square satisfies all the properties of rhombus .

A rectangle does not have all the sides are equal.

Therefore, it cannot b e a square.

soneyedesola44

Statement 2 is correct. This implies that a square is always a rhombus

A rhombus is a quadrilateral and the length of all its sides are the same. A square is also a quadrilateral and the lengths of all its sides are equal. Therefore, a rhombus can be square if all its angles are right angle, that is, all its angles are equal to 90 degrees.

Further Explanation

However, a square is a rhombus because the lengths of all its four sides are the same.

Some of the Properties of Rhombus include

  • The sides of a rhombus are of the same length
  • Its opposite side are parallel and its opposite angles are congruent
  • In a rhombus, each line (diagonal) cut the other into equal parts
  • Each line cut the other at the vertices and it has 2 lines of symmetry.

some of the Properties of a square  include

  • The lengths of all the sides are the same (equal)
  • Its opposite sides are also parallel and all its opposite sides are equal
  • Also, all the angles measure 90 degree
  • It has 4 lines of symmetry
  • Each line (diagonals) is equal and cut each other at 90 degrees.

Therefore, a square is a rhombus since the lengths of all the four sides are equal.

LEARN MORE:

  • Which of the following statements are true Statements 1: A papallelogram is always a rectangle https://brainly.com/question/8740440
  • Which of the following statements is always true?  A parallelogram is a rectangle https://brainly.com/question/1675336

KEYWORDS:

  • square
  • symmetry
  • rhombus
  • bisect each other
  • quadrilateral

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