Suate with reasons whether the following statements are true' or 'false'.
Every parallelogram is a rhombus.
m Every rhombus is a rectangle
(in) Every rectangle is a parallelogram.
(iv) Every squre is a rectangle.
(v) Every square is a rhombus.
(vi) Every parallelogram is a rectangle. with Expels
Answers
Explanation:
i. False.
All the sides of a rhombus are congruent, while the opposite sides of a parallelogram are congruent.
ii. False.
All the angles of a rectangle are congruent, while the opposite angles of a rhombus are congruent.
iii. True.
The opposite sides of a parallelogram are parallel and congruent. Also, its opposite angles are congruent. The opposite sides of a rectangle are parallel and congruent. Also, all its angles are congruent.
iv. True.
The opposite sides of a rectangle are parallel and congruent. Also, all its angles are congruent. All the sides of a square are parallel and congruent. Also, all its angles are congruent.
v. True.
All the sides of a rhombus are congruent. Also, its diagonals are perpendicular bisectors of each other. All the sides of a square are congruent. Also, its diagonals are perpendicular bisectors of each other.
vi. False.
All the angles of a rectangle are congruent, while the opposite angles of a parallelogram are congruent.
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Answer:
Explanation:
False
False
True
True
True
False