SOLUTION: Below was a school assessment question: "There are two windows in Elana's bedroom, each of which has four right angles. One of her windows has four congruent sides. The oth

Algebra ->  Parallelograms -> SOLUTION: Below was a school assessment question: "There are two windows in Elana's bedroom, each of which has four right angles. One of her windows has four congruent sides. The oth      Log On


   

Question 1205862: Below was a school assessment question:
"There are two windows in Elana's bedroom, each of which has four
right angles. One of her windows has four congruent sides.
The other window contains two pairs of opposite sides that are equal,
but all four sides are not congruent. Which statement about Elana's
windows is true?
1). Both windows are squares.
2). Both windows are pentagons.
3). Both windows are rectangles.
4). Both windows are rhombuses.
Please explain why which answer is correct.
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

There are two windows in Elana's bedroom, each of which has four
right angles. => means both windows could be squares, or rectangles, or one of each kind
One of her windows has four congruent sides. => means this window is a square
The other window contains two pairs of opposite sides that are equal, but all four sides are not congruent. => means this window is a rectangle
since a square is a special kind of rectangle, your answer is:
3). Both windows are rectangles.