Which statement is true?
1. all rectangles are squares
2. some trapezoids are parallelograms
3. all squares are rhombuses
4. no rhombuses are rectangles.
Please help me. I need this done and fast. Mom don't know answer so I'm counting on you to help me. Thank you so much.
Try to draw a square that is not a rhombus
Study this site.
https://www.mathsisfun.com/quadrilaterals.html
I'll be glad to check your answers.
Ah okay lol. Guess someone doesn't like when you help out. Great site, 10/10.
1. False.
2. True.
3. False.
4. False.
Don't understand why the answer got deleted. The past 2 were way more in depth and with a more clear explanation than some of the other answers, but alright.
a square has 4 equal sides, so does a rhombus
however a square has 90 degree corners
a rhombus could have 90 degree corners, but not necessarily.
therefore
If a square, then a rhombus
If a rhombus, maybe a square
In other words, a square is a special case of a rhombus
In this link which MsSue gave you will find:
http://www.mathsisfun.com/quadrilaterals.html
That a square is also a rectangle and a rhombus.
To determine which statement is true, let's analyze each statement one by one:
1. "All rectangles are squares": This statement is not true. A rectangle is a quadrilateral with four right angles, but its opposite sides can have different lengths. On the other hand, a square is a special type of rectangle where all four sides are equal in length. Therefore, not all rectangles are squares.
2. "Some trapezoids are parallelograms": This statement is true. A trapezoid is a quadrilateral with at least one pair of parallel sides. A parallelogram is also a quadrilateral with both pairs of opposite sides parallel. Since a trapezoid can have one pair of parallel sides, it is possible for a trapezoid to also be a parallelogram.
3. "All squares are rhombuses": This statement is true. A square is a quadrilateral with all sides equal in length and all angles equal to 90 degrees. A rhombus is also a quadrilateral with all sides equal in length, but its angles can be any value other than 90 degrees. Since a square satisfies the conditions of a rhombus, it is correct to say that all squares are rhombuses.
4. "No rhombuses are rectangles": This statement is not true. As mentioned earlier, a rectangle is a quadrilateral with four right angles. A rhombus is a quadrilateral with all sides equal in length, but its angles can be any value other than 90 degrees. However, it is possible for a rhombus to have adjacent angles measuring 90 degrees, thus forming a right angle. In this case, the rhombus would also satisfy the conditions of a rectangle.
So, the true statements are:
- "Some trapezoids are parallelograms"
- "All squares are rhombuses"
I hope this explanation helps!