SOLUTION: Which one of the following statements about quadrilaterals is true? A. A parallwlogram with right angles is a rectangle b. A quadrilateral with oly two parallel sides is a square

Question 150904: Which one of the following statements about quadrilaterals is true?
A. A parallwlogram with right angles is a rectangle
b. A quadrilateral with oly two parallel sides is a square.
c. A quadrilteral with two pairs of parallel sides is a trapezoid.
d. A quadrilateral with a right an gle is a rhombus

Found 2 solutions by jim_thompson5910, mangopeeler07:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
A. True. The definition of a rectangle is a quadrilateral "with four right angles" source: http://mathworld.wolfram.com/Rectangle.html

B. False. A square must must have 4 right angles and 4 equal sides. Source: http://mathworld.wolfram.com/Square.html

C. False. Trapezoids only have one set of parallel sides. Source: http://mathworld.wolfram.com/Trapezoid.html

D. False. A rhombus must also have equal sides. Source: http://mathworld.wolfram.com/Rhombus.html

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Summary:

So the only part that is true is A
Answer by mangopeeler07(462) (Show Source): You can put this solution on YOUR website!
A. A parallelogram with right angles is a rectangle (always true)

B. A quadrilateral with only two parallel sides is a square.(squares have two pairs of parallel sides, not just one pair)

C. A quadrilteral with two pairs of parallel sides is a trapezoid. (trapezoids have only one pair of parallel sides)

D. A quadrilateral with a right angle is a rhombus (sometimes, but not always true)
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Answer: a) A parallelogram with right angles is a rectangle
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