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Congruence MATHS - Congruence

Gujarat Board (GSEB) - STD 7 - MATHS (GSEB - English Medium). 59 questions in this chapter.

Question types

Congruence question types

59 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

59
Questions
6
Question groups
5
Question types
Sample Questions

Congruence questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): If any two sides of a right trangle are equal to the corresponding sides an another right triangle then the triangles are congruent.
Reason (R): Two triangles are congruent if the three sides of one triangle are equal to thit three corresponding sides of the other triangle.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • ✓
    Assertion (A) is false but Reason (R) is true.

Answer: D.

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Q 2Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): Two triangles are congruent if two sides and any one angle of one are respectively equal to two sides and the corresponding angle of the other.
Reason (R): SAS congruence is one of the conditions for congruence of two triangles.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • ✓
    Assertion (A) is false but Reason (R) is true.

Answer: D.

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Q 3Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): If two squares have equal areas, they are congruent.
Reason (R): If two rectangles have equal areas, they are congruent.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • ✓
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: C.

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Q 4Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): Two circles having the same circumference are always congruent.
Reason (R): Congruent triangles have equal areas.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • ✓
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: B.

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Q 181 Marks Question1 Mark
Which of the following statements are true and which of them are false? If the hypotenuse of a right triangle is equal to the hypotenuse of another right triangle then the triangles are congruent.
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Q 202 Marks Questions2 Marks
State the correspondence between the vertices, sides and angles of the following pairs of congruent triangles. $\triangle\text{ABC}\cong\triangle\text{EFD}$
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Q 253 Marks Question3 Marks
In the given figure, triangles $ABC$ and $DCB$ are right angled at $A$ and $D$ respectively and $AC = DB$ Prove that $\triangle\text{ABC}\cong\triangle\text{DCB.}$
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Q 263 Marks Question3 Marks
In fig. (i) $\text{PL}\bot\text{OA}$ and $\text{PM}\bot\text{OB}$ such that $\text{PL}=\text{PM}$. Is $\triangle\text{PLO}\cong\triangle\text{PMO}?$ Give reason in support of your answer.
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Q 273 Marks Question3 Marks
In the adjoining figure, $\triangle\text{ABC}$ is an isosceles triangle in which $AB = AC.$ If $E$ and $F$ be the midpoints of $AC$ and $AB$ respectively, prove that $BE = CF.$
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Q 283 Marks Question3 Marks
If two triangles have their corresponding angles equal, are they always congruent? If not, draw two triangles which are not congruent but which have their corresponding angles equal.
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