SOLUTION: Answer the following with either True or False, if false, provide a counter example.
a) An isosceles triangle is always a regular triangle.
b) Squares are always trapezoids.
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-> SOLUTION: Answer the following with either True or False, if false, provide a counter example.
a) An isosceles triangle is always a regular triangle.
b) Squares are always trapezoids.
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Question 796296: Answer the following with either True or False, if false, provide a counter example.
a) An isosceles triangle is always a regular triangle.
b) Squares are always trapezoids.
c) Rectangles are always parallelograms.
d) A kite is always a rhombus.
a. False. Consider a triangle with two equal length sides and a third side of a different length. Such a triangle is isosceles but not equilateral (or equiangular or regular).
b. False if you use the "exclusive" definition of a trapezoid (i.e. a quadrilateral with EXACTLY one pair of parallel sides). True if you use the "inclusive" definition of a trapezoid (i.e. a quadrilateral with AT LEAST ONE pair of parallel sides).
c. True
d. Consider a kite with only one diagonal that is an axis of symmetry. Such a quadrilateral is a kite but not a rhombus.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
