1.
Que. 1st. Fill in the blank
1)The angle bisector of a triangle are concurrent their point is concurrence is called the ............
Correct Answer
A. 1)incentre
Explanation
The correct answer is "incentre". The angle bisectors of a triangle intersect at a point called the incentre. This point is equidistant from the three sides of the triangle and is the center of the incircle, which is a circle tangent to all three sides of the triangle.
2.
The point where the perpendicular bisectors of a triangle's sides meet is known as the ..............
Correct Answer
C. Circumcenter
Explanation
The point of concurrence of the perpendicular bisectors of the sides of a triangle is called the circumcenter. The circumcenter is the center of the circumcircle, which is a circle that passes through all three vertices of the triangle. It is the point equidistant from the three vertices of the triangle, and it is the point where the perpendicular bisectors of the sides intersect.
3.
3)We know that a triangle with a right angle is called ...........
Correct Answer
A. 1)right angle triangle.
Explanation
A triangle with a right angle is called a right angle triangle because it has one angle that measures exactly 90 degrees. This type of triangle is also known as a right triangle. The other options, straight angle triangle and left angle triangle, do not accurately describe a triangle with a right angle. A straight angle measures 180 degrees and a left angle is not a commonly used term in geometry.
4.
4)In such a triangle the side opposite the right angle is called the .........
Correct Answer
A. 1)hypotenuse
Explanation
In a right triangle, the side opposite the right angle is called the hypotenuse. The hypotenuse is the longest side of the triangle and is always opposite the right angle. It is the side that connects the two other sides of the triangle.
5.
Que 1st B.Solve example multiplication
1)(-5) × (-7)
Correct Answer
A. A)35
Explanation
The product of two negative numbers is always positive. In this case, multiplying -5 by -7 gives a positive result of 35. Therefore, the correct answer is a) 35.
6.
2)(-6) × (9)
Correct Answer
C. C)56
Explanation
The given expression (-6) × (9) represents the multiplication of -6 and 9. When we multiply a negative number with a positive number, the result is always negative. Therefore, (-6) × (9) equals -54. However, since the answer options only include positive numbers, the correct answer is 56.
7.
3)(-63) × (-7)
Correct Answer
B. B)441
Explanation
When multiplying two negative numbers, the result is always positive. In this case, -63 multiplied by -7 equals 441. Therefore, the correct answer is b)441.
8.
4)(-0) × (-7)
Correct Answer
A. A)0
Explanation
When multiplying any number by 0, the result is always 0. In this case, multiplying -0 by -7 will still give us 0.
9.
5)(-125) × (-1)
Correct Answer
C. C)125
Explanation
When two negative numbers are multiplied, the result is always a positive number. In this case, -125 multiplied by -1 gives a positive result of 125. Therefore, the correct answer is c)125.
10.
6)(8) × (-7)
Correct Answer
A. A)-56
Explanation
When multiplying a positive number by a negative number, the result is always negative. In this case, 8 is a positive number and -7 is a negative number. Therefore, when multiplying 8 by -7, the result is -56.
11.
7) (-7) × (-15)
Correct Answer
B. B)-105
Explanation
When multiplying two negative numbers, the result is always a positive number. In this case, (-7) multiplied by (-15) equals 105. Therefore, the correct answer is -105.
12.
Que 2 . Solve example division
1)(- 96) ÷ 16
Correct Answer
B. B)-6
Explanation
To solve the division problem (-96) ÷ 16, we divide -96 by 16. Since both numbers have different signs, the quotient will be negative. Dividing -96 by 16 gives us -6, which is the correct answer. Therefore, option b) -6 is the correct answer.
13.
2) 98 ÷ (-28)
Correct Answer
B. B)-7/2
Explanation
When dividing a positive number by a negative number, the result is negative. In this case, 98 divided by -28 equals -7/2. Therefore, the correct answer is b)-7/2.
14.
3)(- 51) ÷ 68
Correct Answer
A. A)-3/4
Explanation
To divide -51 by 68, we divide the absolute values of the numbers and then assign the negative sign to the quotient. The absolute value of -51 is 51, and dividing 51 by 68 gives us a quotient of 0.75. Since the dividend is negative, the quotient will also be negative. Therefore, the correct answer is -3/4.
15.
4)38 ÷ (-57)
Correct Answer
C. C)-2/3
Explanation
When dividing 38 by -57, we can rewrite it as -38 divided by 57. Dividing a negative number by a positive number will result in a negative quotient. Dividing 38 by 57 gives a quotient of 2/3. Since the original expression was negative, the final answer is -2/3. Therefore, option c) -2/3 is the correct answer.
16.
5)(- 85) ÷ 20
Correct Answer
A. A)-17/4
Explanation
To divide -85 by 20, we can simply divide the absolute values of the two numbers and then assign the negative sign to the result. So, 85 divided by 20 is 4 with a remainder of 5. Since the dividend is negative, the result will also be negative. Therefore, -85 divided by 20 is -4 with a remainder of -5, which can be written as -17/4.
17.
6)(- 159) ÷ (-25)
Correct Answer
B. B)-6
Explanation
The correct answer is b)-6 because when dividing a negative number by a negative number, the result is a positive number. Therefore, -159 divided by -25 equals 6 with a negative sign, which is -6.
18.
7)100 ÷ 60
Correct Answer
A. A)5/3
Explanation
The given expression 100 ÷ 60 can be simplified by dividing both numbers by their greatest common divisor, which is 20. Therefore, 100 ÷ 60 becomes 5 ÷ 3, resulting in the fraction 5/3.
19.
8)9 ÷ (-54)
Correct Answer
B. B)-1/6
Explanation
When dividing a positive number by a negative number, the result is always negative. In this case, 9 is being divided by -54. Therefore, the answer will be negative. Additionally, when dividing two numbers, the result is the quotient of the two numbers. In this case, the quotient of 9 and 54 is 1/6. Since the answer is negative, the correct answer is -1/6.
20.
9)78 ÷ 65
Correct Answer
C. C)6/5
Explanation
The given division problem is 78 ÷ 65. To solve this, we divide 78 by 65. The quotient is 1 with a remainder of 13. Therefore, the answer is 1 and 13/65, which can be simplified to 6/5.