SOLUTION: A parallelogram is a ___________ if and only if it has at least one right angle and four congruent sides.
a. rectangle
b. square
c. rhombus
d. none
Please provide detail e
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-> SOLUTION: A parallelogram is a ___________ if and only if it has at least one right angle and four congruent sides.
a. rectangle
b. square
c. rhombus
d. none
Please provide detail e
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Question 472082: A parallelogram is a ____________ if and only if it has at least one right angle and four congruent sides.
a. rectangle
b. square
c. rhombus
d. none
Please provide detail explanation. Thanks. Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! If a parallelogram has one right angle, then the other angles are right angles (since the opposite angle is equal and the adjacent angles are supplementary).
So there are 4 right angles. Since we have 4 right angles and 4 congruent sides, we have a square.
So...
A parallelogram is a square if and only if it has at least one right angle and four congruent sides
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