which of he following statements are true or false-
1]the diagonals of a parallelogram are equal
2]the diagonals of a rectangle are perpendicular
3] the diagonal of a rhombus are equal
4]every rhombus is a kite
We'll be glad to check your answers.
To determine which of the following statements are true or false, we will go through each statement one by one:
1] The diagonals of a parallelogram are equal.
- This statement is false.
- To confirm, we can draw a simple parallelogram and measure its diagonals. By doing so, we will find the diagonals have different lengths.
2] The diagonals of a rectangle are perpendicular.
- This statement is true.
- To confirm, we can draw a rectangle and then draw the diagonals. We will find that the diagonals intersect at right angles (90 degrees).
3] The diagonals of a rhombus are equal.
- This statement is true.
- To confirm, we can draw a rhombus and measure its diagonals. We will find that both diagonals have the same length.
4] Every rhombus is a kite.
- This statement is false.
- A kite is a quadrilateral with two pairs of adjacent sides that are equal.
- While every rhombus has sides of equal length, not every rhombus is a kite because a kite does not have diagonals that are equal in length.
In summary:
- Statement 1 is false.
- Statement 2 is true.
- Statement 3 is true.
- Statement 4 is false.