Which of the following statements is false?
1 The opposite angles of a rhombus are equal.
2. Diagonals of a rectangle bisect each other.
3.Diagonals of a kite bisect each other.
4.The adjacent angles of a parallelogram are supplementary.
pls tell fast and fastttt
Answers
Answer:
Answer:
1 (4)
2 (3)
3 (3)
4 (2)
Explanation:
1.
As diagonals of a square bisect each other, any one triangle formed by a diagonal will have the other diagonal as its median. Hence, that particular triangle is divided into two triangles of equal area. Similarly, all four triangles so formed will be of equal area, hence statement (4) is false.
2.
Rectangles are parallelograms with one angle as a right angle. However, all parallelograms do not have right angles. Hence, all rectangles are parallelograms but all parallelograms are not rectangles - statement (3) is false.
3.
A rhombus is a parallelogram with all sides equal. A square, in addition to having all sides equal, also has one angle as a right angle. Hence, a square possesses all characteristics of a rhombus and so statement (3) is true.
4.
A square has opposite sides parallel, all sides (opposite sides included) equal and all angles (opposite angles included) equal. Hence, a square has all characteristics of a parallelogram and so statement (2) is true.
TIP:
Make sure you know all properties of quadrilaterals thoroughly as that will help in such type of questions.
Step-by-step explanation:
Hope it will helps you ❤️✨..
Answer:
1 ) true.
2) true.
3) false.
4) true