Shawndra said that it is not possible to draw a trapezoid that is a rectangle, but it is possible to draw a square that is a rec

Question

Marat540 [252]

2 years ago

15

Shawndra said that it is not possible to draw a trapezoid that is a rectangle, but it is possible to draw a square that is a rec

tangle. Marcella said that it is possible. Who is correct? Explain your answer using the properties of quadrilaterals.

Mathematics

2 answers:

Gemiola [76] · Answer 1 · 2022-09-01T08:40:50+03:00

Gemiola [76]2 years ago

5 0

Marcella is correct for this problem

maks197457 [2] · Answer 2 · 2022-09-01T10:49:22+03:00

Solution :

Shawndra said that it is not possible to draw a trapezoid that is a rectangle, but it is possible to draw a square that is a rectangle.

The bases of the trapezoid are parallel to each other but the sides,angles and diagonals of the trapezoid are not congruent . While the opposite sides, angles and the diagonals of the rectangle are congruent .Therefore , it is not possible to draw a trapezoid that is a rectangle.

A square is a parallelogram whose opposite sides are parallel and congruent, all angles are right. These properties are also found in a rectangle. Therefore, it is possible to draw a square that is a rectangle.

Hence, Shawndra is saying correct.