Quiz Topic:Understanding Quadrilateral.....By Neelam Mam
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What is the maximum number of obtuse angles that a quadrilateral can have?
A.
1
B.
2
C.
3
D.
4
Correct Answer
C. 3
Explanation A quadrilateral is a polygon with four sides. An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. In a quadrilateral, there are four angles. To maximize the number of obtuse angles, we need to minimize the number of acute angles (angles less than 90 degrees). Since there must be at least one acute angle in a quadrilateral, we can have a maximum of three obtuse angles. Therefore, the correct answer is 3.
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2.
The________ angles of a parallelogram are supplementary.
Correct Answer adjacent
Explanation In a parallelogram, adjacent angles are supplementary, meaning their measures add up to 180 degrees. This property arises because opposite sides of a parallelogram are parallel, making consecutive angles on a straight line equal to 180 degrees. For instance, if one angle is 70 degrees, the adjacent angle must be 110 degrees to total 180 degrees, ensuring the supplementary nature of adjacent angles in any parallelogram.
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3.
The number of sides of a nonagon is ______________.
Correct Answer 9
Explanation A nonagon is a polygon with nine sides and nine angles. The term comes from the Latin word "nonus," meaning ninth, and "gon," meaning angle. In geometry, polygons are named based on the number of sides they have, and a nonagon is specifically defined as a nine-sided figure. This makes it a relatively simple yet distinct shape in the study of polygons, following the naming conventions for geometric shapes.
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4.
The diagonals of a parallelogram ________ each other
Correct Answer bisect
Explanation The diagonals of a parallelogram bisect each other. This means that the diagonals divide each other into two equal parts.
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5.
A five sided polygom is ________
Correct Answer pentagon
Explanation A five-sided polygon is known as a pentagon.
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6.
A quadrilateral whose all sides ,diagonals and angles are equal is a
A.
Square
B.
Trapezium
C.
Rectangle
D.
Rhombus
E.
Option 5
Correct Answer
A. Square
Explanation A quadrilateral whose all sides, diagonals, and angles are equal is a square. A square is a special type of quadrilateral where all four sides are equal in length, all four angles are right angles (90 degrees), and the diagonals are also equal in length and bisect each other at right angles. This unique combination of equal sides, equal angles, and equal diagonals distinguishes a square from other quadrilaterals such as trapeziums, rectangles, and rhombuses.
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7.
The sum of all exterior angles of a triangle is
A.
180^{0}
B.
360^{0}
C.
540^{0}
D.
720^{0}
Correct Answer
B. 360^{0}
Explanation The sum of all exterior angles of a triangle is always equal to 360 degrees. This is a well-known property of triangles, where each exterior angle is equal to the sum of the two opposite interior angles. Therefore, the correct answer is 3600.
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8.
The sum of measure of the three angles of a ________ is 180^{0}
Correct Answer triangle
Explanation A triangle is a polygon with three sides and three angles. The sum of the measures of the three angles in a triangle is always 180 degrees. Therefore, the given statement is correct.
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9.
If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a
A.
Triangle
B.
Circle
C.
Parallelogram
D.
None of the above
Correct Answer
C. Parallelogram
Explanation If the diagonals of a quadrilateral are equal in length and bisect each other (meaning they intersect at their midpoints), then the quadrilateral is a parallelogram.
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10.
How many diagonals does a hexagon have?
A.
9
B.
8
C.
2
D.
6
Correct Answer
A. 9
Explanation A hexagon is a polygon with six sides. To find the number of diagonals, we need to consider that each vertex can be connected to every other vertex except the adjacent ones. In a hexagon, there are six vertices, so each vertex can be connected to four other vertices. However, we need to divide this number by 2 because each diagonal is counted twice (from both ends). Therefore, the total number of diagonals in a hexagon is (6 * 4) / 2 = 12 / 2 = 6.
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