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):
Answer by ikleyn(52788)  (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:- 4 right angles
- 4 congruent sides
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:- 4 right angles
- 2 pairs of opposite sides congruent, but all 4 sides are not congruent
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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