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MATHS Assertion (A) & Reason (B) MCQ

Triangles · Rajasthan Board (RBSE) STD 9 (Rajasthan - English Medium). 58 questions.

Questions · Page 2 of 2

Assertion (A) & Reason (B) MCQ

Question 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: Triangle consist three side, three vertices.
Reason: Triangle is open polygon.
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
Answer
  1. Assertion is true but the reason is false.

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Question 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: SSA is a criterion for the congruence of triangles.
Reason: SAS, ASA and SSS are not the criteria for the congruence of triangles.
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
Answer
  1. Both assertion and reason are false.
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Question 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: Two triangles are said to be congruent to each other if two angles and one side of one triangle are equal to two angles and one side of the other triangle.
Reason: $\angle\text{B}=\angle\text{Q},\angle\text{C}=\angle\text{R}$ and sides between $\angle\text{B}$ and $\angle\text{C},\angle\text{Q}$ and $\angle\text{R}$ are equal to each other i.e. BC = QR. Hence, $\triangle\text{ABC}\cong\triangle\text{PQR}$ by AAS test.
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
Answer
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
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Question 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 triangles ABC and PQR, $\angle{A}= \angle\text{P}, \angle\text{C}=\angle\text{R}$ and AC = PR. The two triangles are congruent by ASA congruence.
Reason: If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the two triangles are congruent.
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
Answer
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

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Question 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: If length of the largest side of a triangle is 12cm then other two sides of triangle can be 4.8cm, 8.2cm.
Reason: Sum of any two sides of a triangle is greater than the third side.
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
Answer
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
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Question 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: In triangles ABC and PQR, $\angle\text{A}=\angle\text{P},\angle\text{C}=\angle\text{R}$ and AC = PR. The two triangles are congruent by ASA congruence.
Reason: If two angles and included side of a triangle are equal to the corresponding angles and side of the other triangle then the triangles are congruent by ASA congruence criteria.
  1. Both assertion and reason are true and reason is the correct explanation of assertion.
  2. Both assertion and reason are true but reason is not the correct explanation of assertion.
  3. Assertion is true but reason is false.
  4. Assertion is false but reason is true.
Answer
  1. Both assertion and reason are true and reason is the correct explanation of assertion.
    Solution:

    $\angle\text{A}=\angle\text{P},\angle\text{C}=\angle\text{R}$ and AC = PR
    $\triangle\text{ABC}\cong\triangle\text{PQR}$ [ASA congruence rule]
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Question 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 a quadrilateral ABCD, AC = AD and AB bisects $\angle\text{A}$ (see figure) by SAS congruence criteria.

Reason: Two triangles are congruent if two sides and the included angle of one triangle is equal to the corresponding two sides and included angle of the other.
  1. Both assertion and reason are true and reason is the correct explanation of assertion.
  2. Both assertion and reason are true but reason is not the correct explanation of assertion.
  3. Assertion is true but reason is false.
  4. Assertion is false but reason is true.
Answer
  1. Both assertion and reason are true and reason is the correct explanation of assertion.
    Solution:
    In $\triangle\text{ACB}$ and $\triangle\text{ADB}$
    $\text{AC}=\text{AD}$ [Given]
    $\angle\text{CAB}=\angle\text{DAB}$ [AB bisects $\angle\text{A}$]
    $\text{AB}=\text{AB}$ [common]
    $\triangle\text{ACB}\cong\triangle\text{ADB}$ [By SAS congruence rule]
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Question 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: $\triangle\text{ABC}$ and $\triangle\text{DBC}$ are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at E, then $\triangle\text{ABD} \cong \triangle\text{ACD}.$

Reason: If in two right triangles, hypotenuse and one side of a triangle are equal to the hypotenuse and one side of other triangle, then the two triangles are congruent.
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
Answer
  1. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
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Assertion (A) & Reason (B) MCQ - Page 2 - MATHS STD 9 Questions - Vidyadip