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Are you familiar with polygons and quadrilaterals? Do you suppose you can take on this quiz? A quadrilateral is a polygon. It is a four-sided polygon, just like a triangle is a three-sided polygon. The five most commonplace quadrilaterals are the parallelogram, rectangle, square, trapezoid, and rhombus. Taking this quiz will put your knowledge about polygons and quadrilaterals to the test.
Questions and Answers
1.
A ___________________ has exactly one pair of parallel sides.
Explanation A trapezoid is a quadrilateral that has exactly one pair of parallel sides. The other two sides are non-parallel and can be of different lengths. Therefore, a trapezoid fits the description of having exactly one pair of parallel sides.
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2.
A ______________ has four congruent sides and opposite sides are parallel.
Explanation A quadrilateral is a polygon with four sides. When all four sides are congruent (equal in length) and opposite sides are parallel, it is classified as a rhombus. This geometric property distinguishes a rhombus from other quadrilaterals, making it a special type of parallelogram.
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3.
A ___________________ has four right angles, opposite sides are parallel, and opposite sides are congruent.
Explanation A rectangle is a quadrilateral that satisfies all the given conditions. It has four right angles, meaning each of its interior angles measures 90 degrees. The opposite sides of a rectangle are parallel, which means they never intersect. Additionally, the opposite sides of a rectangle are congruent, meaning they have the same length. Therefore, a rectangle is the correct answer to this question.
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4.
A ________________ has four right angles and all sides are congruent.
Explanation A square is a shape that has four right angles and all sides are congruent. This means that each angle in a square measures 90 degrees, and all four sides of a square have the same length. Therefore, a square fits the description given in the question.
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5.
A square is a rhombus.
A.
True
B.
False
Correct Answer
A. True
Explanation A square is a rhombus because both shapes have four equal sides. While a square has four right angles, a rhombus has four equal angles that are not necessarily right angles. Therefore, all squares can be considered rhombuses, but not all rhombuses are squares.
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6.
A trapezoid is a parallelogram.
A.
True
B.
False
Correct Answer
B. False
Explanation A trapezoid is not a parallelogram because a parallelogram has two pairs of parallel sides, while a trapezoid has only one pair of parallel sides. In a trapezoid, the other two sides are not parallel to each other. Therefore, the statement that a trapezoid is a parallelogram is false.
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7.
A rectangle is a square.
A.
True
B.
False
Correct Answer
B. False
Explanation A rectangle is not a square because although both shapes have four sides, a square has all sides of equal length, while a rectangle has opposite sides of equal length. Therefore, a square is a specific type of rectangle, but not all rectangles are squares.
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8.
A square can be a rhombus and a rectangle.
A.
True
B.
False
Correct Answer
A. True
Explanation A square can be a rhombus because a rhombus is a quadrilateral with all sides of equal length. Since a square is a quadrilateral with all sides of equal length, it meets the criteria to be a rhombus. Additionally, a square can be a rectangle because a rectangle is a quadrilateral with all angles equal to 90 degrees. Since a square has all angles equal to 90 degrees, it also meets the criteria to be a rectangle. Therefore, the statement is true.
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9.
What is the polygon above?
A.
Pentagon
B.
Triangle
C.
Hexagon
Correct Answer
C. Hexagon
Explanation The polygon above is a hexagon because it has six sides. A hexagon is a polygon with six straight sides and six angles.
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10.
What is the above polygon?
A.
Decagon
B.
Heptagon
C.
Nonagon
Correct Answer
A. Decagon
Explanation The above polygon is a decagon because it has ten sides. A decagon is a polygon with ten straight sides and ten angles.
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11.
What is the above polygon?
A.
Hexagon
B.
Quadrilateral
C.
Pentagon
Correct Answer
C. Pentagon
Explanation The above polygon is a pentagon because it has five sides. A hexagon has six sides, and a quadrilateral has four sides. Therefore, pentagon is the correct answer.
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12.
Tri means ___
Correct Answer 3 three
Explanation The word "tri" is a prefix that means "three" or "having three." It is derived from the Latin word "tres" which also means "three." Therefore, the correct answer is 3 or three.
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13.
Quad means _____
Correct Answer 4 four
Explanation The word "quad" is a prefix derived from the Latin word "quattuor" which means "four". Therefore, "quad" is used to indicate the number four. In this context, "quad" means the number 4 or the word "four".
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14.
Penta means ____
Correct Answer 5 five
Explanation The word "penta" is derived from the Greek word "pente" which means "five". Therefore, "penta" is a term that represents the number 5. Additionally, "five" is the English translation of the word "penta".
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15.
Hexa means _____
Correct Answer 6 six
Explanation Hexa is a prefix derived from the Greek word "hex," which means six. Therefore, when we say "hexa," it is referring to the number six. In this context, "hexa" means 6 or six.
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16.
Hepta means ____
Correct Answer 7 seven
Explanation The word "hepta" is derived from the Greek word "heptÃ¡," which means "seven." Therefore, "hepta" is synonymous with the number 7 or the word "seven."
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17.
Octa means ____
Correct Answer 8 eight
Explanation The word "octa" is derived from the Greek word "okto" which means eight. Therefore, "octa" is a prefix that represents the number eight. In English, "eight" is the word used to represent the number 8.
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18.
Nona means ______
Correct Answer 9 nine
Explanation The word "nona" is a term used to represent the number 9. In this context, "9" and "nine" are both correct representations of the word "nona."
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19.
Deca means _____
Correct Answer 10 ten
Explanation The word "Deca" is derived from the Greek word "deka" which means ten. Therefore, "Deca" is a term used to represent the number 10 or the word "ten".
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