Which statement is always true? A. Square BCDF is a rectangle. B. Rectangle GJKM is a square. C. Quadrilateral STPR is a trapezoid. D. Parallelogram ABCD is a rhombus.

Question

Mathematics

Mario Walker

12 January, 18:58

Which statement is always true? A. Square BCDF is a rectangle. B. Rectangle GJKM is a square. C. Quadrilateral STPR is a trapezoid. D. Parallelogram ABCD is a rhombus.

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Answers (1)

Know the Answer?

Carson Holland · Answer 1

Correct option is A

Step-by-step explanation:

Given some statements we have to choose the correct statement.

A. Square BCDF is a rectangle.

As we know, all the properties of rectangle satisfied by square. Therefore, we say that all squares are rectangles. hence, Square BCDF is a rectangle is true statement.

B. Rectangle GJKM is a square.

As explained in above, all the properties of rectangle satisfied by square but its converse is not true i. e all rectangles are not square. Hence, Rectangle GJKM is a square is not always true.

C. Quadrilateral STPR is a trapezoid.

All the properties of trapezoid are not satisfied by all quadrilateral hence, not always true.

D. Parallelogram ABCD is a rhombus

All the properties of rhombus are not satisfied by parallelogram like all sides of rhombus are congruent but parallelogram has only opposite sides congruent. hence, not always true.

Correct option is A.