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21. Let x be the angle which is equal to its complement and y be the angle which is equal to its supplement. Then, 2x + 3 y is equal to
135°
270°
360°
180°
=> x = 45 ° and y is the angle which is equal to its supplement. y+ y=180° => 2y =180° => y =90° .". 2x + 3y =2 x45°+ 3 x900= 360°
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22. Two sheets of paper with measure 22 em by 28 cm are taken. Each sheet is then rolled into a cylinder, one having the height 22 em and the other of height 28 cm. The difference in their volumes (in cm3) will be
216
316
294
0
23. Consider the following statement "If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram." This statement is a/an
axiom
proposition
definition
theorem
24. Anisha and Amit study in Class VII. Anisha told Amit that if the marks in Mathematics of each student in the class are increased by 5, the average would go up by 5. She further says that it is true for all numbers. Amit does not agree and Anisha proves it by taking the case n, instead of 5. Anisha is using
Deductive logic.
Common sense.
Estimation.
Inductive logic.
25. Writing proofs in geometry implies
Argument or justification of statements.
Description of a geometrical problem.
Steps of drawing a figure.
Two-column table of axioms and deductions.
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