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Maths Assertion (A) & Reason (B) MCQ

Triangles · Bihar Board (BSEB) STD 9 (BSEB - English Medium). 58 questions.

Questions · Page 2 of 2

Assertion (A) & Reason (B) MCQ

MCQ 511 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $\text{Area of triangle}=\frac{1}{2}\times\text{base}\times\text{height}$
Reason: $\text{Area of right angled triangle} = \frac{1}{2}\times\text{product of side making }90^\circ$
  • A
    Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  • ✓
    Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  • C
    Assertion is true but the reason is false.
  • D
    Both assertion and reason are false.
Answer
Correct option: B.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
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MCQ 521 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: All the sides of a square are of equal length.
Reason: All squares are congruent.
  • A
    Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  • B
    Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  • ✓
    Assertion is true but the reason is false.
  • D
    Both assertion and reason are false.
Answer
Correct option: C.
Assertion is true but the reason is false.
Assertion is true but the reason is false.
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MCQ 531 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In the given figure, $BE$ and $CF$ are two equal altitudes of $\triangle\text{ABC}$ then $\triangle\text{ABE}\cong\triangle\text{ACF}$

Reason: If two angles and one side of one triangle are equal to two angles and the corresponding side of the other triangle, then the two triangles are congruent.
  • A
    Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  • ✓
    Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  • C
    Assertion is true but the reason is false.
  • D
    Both assertion and reason are false.
Answer
Correct option: B.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
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MCQ 541 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In $\triangle\text{ABC}$ and $\triangle\text{PQR},$ $AB = PQ, AC = PR$ and $\angle\text{BAC}=\angle\text{QPR}$ $\triangle\text{ABC}\cong\triangle\text{PQR}$
Reason: Both the triangles are congruent by $SSS$ congruence.
  • A
    Both assertion and reason are true and reason is the correct explanation of assertion.
  • B
    Both assertion and reason are true but reason is not the correct explanation of assertion.
  • ✓
    Assertion is true but reason is false.
  • D
    Assertion is false but reason is true.
Answer
Correct option: C.
Assertion is true but reason is false.

In $\triangle\text{ABC}$ and $\triangle\text{PQR}$
$\text{AB}=\text{PQ}$
$\text{AC}=\text{PR}$
$\angle\text{BAC}=\angle\text{QPR}$
$\triangle\text{ABC}\cong\triangle\text{PQR}$ (By $SAS$ Rule)
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MCQ 551 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Two angles measures $a - 60^\circ $ and $123^\circ - 2a$. If each one is opposite to equal sides of an isosceles triangle, then the value of a is $61^\circ $.
Reason: Sides opposite to equal angles of a triangle are equal.
  • A
    Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  • ✓
    Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  • C
    Assertion is true but the reason is false.
  • D
    Both assertion and reason are false.
Answer
Correct option: B.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
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MCQ 561 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent. Reason: If $ \frac{\text{AB}}{\text{XY}}=\frac{\text{BC}}{\text{YZ}}=\frac{\text{AC}}{\text{XZ}}$ then $\triangle\text{ABC}\sim\triangle\text{XYZ}.$
  • ✓
    Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  • B
    Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  • C
    Assertion is true but the reason is false.
  • D
    Both assertion and reason are false.
Answer
Correct option: A.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

 
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MCQ 571 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In$ \triangle\text{ABC}$ and $\triangle\text{PQR}, $ $AB = PQ, AC = PR$ and $\angle\text{BAC}=\angle\text{QPR}$ then $\triangle\text{ABC}\cong\triangle\text{PQR}.$

Reason: Both the triangles are congruent by $SSS$ congruence.
  • A
    Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  • B
    Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  • ✓
    Assertion is true but the reason is false.
  • D
    Both assertion and reason are false.
Answer
Correct option: C.
Assertion is true but the reason is false.
Assertion is true but the reason is false.
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MCQ 581 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Two sides of a triangle are of lengths $5\ cm$ and $1.5\ cm$. The length of the third side of the triangle cannot be $3.4$.
Reason: The difference between the two sides of a triangle should be less than the third side.
  • ✓
    Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  • B
    Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  • C
    Assertion is true but the reason is false.
  • D
    Both assertion and reason are false.
Answer
Correct option: A.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
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Assertion (A) & Reason (B) MCQ - Page 2 - Maths STD 9 Questions - Vidyadip