Question

Math (geometry) help please!!

A Venn Diagram is shown. Which set of definitions make the diagram accurate?

A. X = the set of parallelograms, Y = the set of squares, Z = the set of rectangles

B. X = the set of quadrilaterals, Y = the set of parallelograms, Z = the set of rectangles

C. X = the set of rectangles, Y = the set of squares, Z = the set of quadrilaterals

D. X = the set of rectangles, Y = the set of rhombi, Z = the set of trapezoids

Answer 1

What is a quadrilateral?

Answer 2

@Loser66 A quadrilateral is a four-sided polygon with four angles. There are many kinds of quadrilaterals. The five most common types are the parallelogram, the rectangle, the square, the trapezoid, and the rhombus.

Answer 3

Good
now what is a parallelogram?

Answer 4

@Loser66 Parallelogram. A 4-sided flat shape with straight sides where opposite sides are parallel. NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!

Answer 5

ok, that means, if a shape is a parllelogram, first of, it must be a quadrilateral, right?

Answer 6

@Loser66 yes

Answer 7

But not vice versa, right?
I meant, if it is a quadrilateral, it is no necessary that it is a parallelogram. That is

Answer 8

Got what I meant?

Answer 9

Yup I follow so far

Answer 10

What is a rectangle?

Answer 11

Rectangle. A 4-sided flat shape with straight sides where all interior angles are right angles (90°). Also opposite sides are parallel and of equal length. Example: A square is a special type of rectangle.

Answer 12

http://dictionary.reference.com/browse/rectangle

Answer 13

What does it mean? It means to be a rectangle, the shape must be a parallelogram first, right?

Answer 14

Yes

Answer 15

so,

Answer 16

Hence, the correct answer is???

Answer 17

B?

Answer 18

yup