i have no parallel sides. my adjacent sides are equal. my diagonals intersect at right angles. what am i?
I assume there are four sides, and the adjacent sides of two opposite vertices are equal.
This way, the quadrilateral is made up of two isosceles triangles, back to back. Take a pencil and draw the shape. See if you recognize it.
Hint: have you flown a kite before?
kite
Based on the given information, you are describing a rectangle. A rectangle does not have parallel sides, but its adjacent sides are equal in length. Additionally, the diagonals of a rectangle intersect at right angles.
Based on the given information, you are describing a special type of quadrilateral known as a square.
A square is a quadrilateral with four equal sides and four right angles. Here's how you can identify a square using the given information:
1. No parallel sides: This means that the opposite sides of the quadrilateral are not parallel, which eliminates parallelograms and rectangles from consideration.
2. Adjacent sides are equal: In a square, all four sides are equal in length. So, if the adjacent sides are also equal, this aligns with the properties of a square.
3. Diagonals intersect at right angles: The diagonals of a square meet at right angles. This means that the lines connecting the opposite corners of the square form four right angles.
By combining all of these characteristics, we can conclude that the shape you are describing is indeed a square.