SOLUTION: 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 side

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Question 1203601: 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?
A. Both windows are squares
B. Both windows are pentagons
C. Both windows are rectangles
D. Both windows are rhombuses.
Found 3 solutions by MathLover1, ikleyn, math_tutor2020:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Rectangle - is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees.
Squares are quadrilaterals with 4 congruent sides.
Since are special case of .

if given that one of her windows has four congruent sides, that one window is a
if the other window contains of that are , but all four sides are , that one window is a

Which statement about Elana's windows is true?
C. Both windows are rectangles
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.

Reasoning in the post by @MathLover1 is long, but incorrect.

Her answer is incorrect, too.

The correct answer is "C. Both windows are rectangles".

It is so clear, that I hesitate to spend your time explaining.


It is the same as to explain why 2 x 2 is 4, but not 73.



Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Window A:Window A is a square.
Any square is also a rectangle (but not the other way around).
A square is a specific type of rectangle where all sides are the same length.

Window B:Therefore, window B is a non-square rectangle (i.e. it is wider than it is tall, or it is taller than it is wide). Example: a 4 by 5 rectangle


Answer: Both windows are rectangles
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