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In Mathematics / High School | 2014-11-14

True or False

1. All parallelograms are squares.
2. All squares are parallelograms.
3. All trapezoids are scalene.
4. All squares are rhombuses.
5. All rhombuses are squares.
6. All rectangles are squares.
7. All squares are rectangles.

Asked by Anonymous

Answer (3)

The question is asking to state if those statements are true or false. First we have to mention some definitions: Parallelogram is a 4-sided flat shape with straight sides where opposite sides are parallel. And Parallelograms are: Square, rectangle and Rhombus. All Squares are Rectangles and all Rectangles are not Squares. Answers are: 1. All parallelograms are squares ( FALSE ) 2. All squares are parallelograms ( TRUE ) 3. All trapeziods are scalane ( FALSE ). 4. All squares are rhombuses ( TRUE ). 5. All rhombuses are squares ( FALSE ) 6. All rectangles are squares ( FALSE ). 7. All squares are rectangles ( TRUE ).

Answered by W0lf93 | 2024-06-11

The truthfulness of these **"geometric" **statements varies; while all squares are parallelograms, rectangles, and rhombuses, the opposite is not true for all these shapes. The other statements are also false, as trapezoids don't need to be scalene and not all rectangles are squares. ;

Answered by VeraMindy | 2024-06-18

The true and false statements about shapes show the relationships between squares, rectangles, rhombuses, parallelograms, and trapezoids. Key truths include that all squares are rectangles and rhombuses, while not all parallelograms are squares. Understanding these properties helps clarify the characteristics of each shape.
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Answered by W0lf93 | 2024-10-01