Question

Which of the following statements are true?

Answer 1

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 brainly.com/question/8740440
• Which of the following statements is always true?  A parallelogram is a rectangle brainly.com/question/1675336

KEYWORDS:

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

Answer 2

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.