Consider the following statements:Two triangles are said to be congruent, if1. Three angles of one triangle are equal to corresponding three angles of the other triangle2. Three sides of one triangle are equal to the corresponding three sides of the triangle3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included of the other triangle4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included sides of other triangleQ. Which of the above statements are correct?a)1, 2 and 3b)1, 3 and 4c)1, 2 and 4d)2, 3 and 4Correct answer is option 'D'. Can you explain this answer?

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Consider the following statements:

Two triangles are said to be congruent, if
1. Three angles of one triangle are equal to corresponding three angles of the other triangle
2. Three sides of one triangle are equal to the corresponding three sides of the triangle
3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included of the other triangle
4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included sides of other triangle

Q. Which of the above statements are correct?

a)
1, 2 and 3
b)
1, 3 and 4
c)
1, 2 and 4
d)
2, 3 and 4

Correct answer is option 'D'. Can you explain this answer?

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CDS I - Mathematics Previous Year Question Paper 2018

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Consider the following statements:Two triangles are said to be congrue...

For congruency, all sides and all angles need to be equal to the corresponding sides and angles

When fixing the angle, the ratio of sides get fixed but while fixing the sides the angle gets fixed.

Statement 1 is false, because only the ratio of sides is fixed and the sides can be expanded and shrunk without changing angle. For example, all equilateral triangles have same angle, but different sides

Statement 2 is true, since fixing sides fix angles. (Cosine formula for triangle)

[SSS congruency]
Statement 3 is true:

With two sides and an included angle, third side is fixed [Cosine formula]

When all sides are fixed, then angles are also fixed.

[SAS congruency]
Statement 4 is true:

When two angles are equal, third angle is also equal [Property sum of angles of triangle]

So the ratios of the sides are equal

Since one of the sides is equal and the ratios are equal, all sides are equal
ASA congruency

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Consider the following statements:Two triangles are said to be congruent, if1. Three angles of one triangle are equal to corresponding three angles of the other triangle2. Three sides of one triangle are equal to the corresponding three sides of the triangle3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included of the other triangle4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included sides of other triangleQ. Which of the above statements are correct?a)1, 2 and 3b)1, 3 and 4c)1, 2 and 4d)2, 3 and 4Correct answer is option 'D'. Can you explain this answer?

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Consider the following statements:Two triangles are said to be congruent, if1. Three angles of one triangle are equal to corresponding three angles of the other triangle2. Three sides of one triangle are equal to the corresponding three sides of the triangle3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included of the other triangle4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included sides of other triangleQ. Which of the above statements are correct?a)1, 2 and 3b)1, 3 and 4c)1, 2 and 4d)2, 3 and 4Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Consider the following statements:Two triangles are said to be congruent, if1. Three angles of one triangle are equal to corresponding three angles of the other triangle2. Three sides of one triangle are equal to the corresponding three sides of the triangle3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included of the other triangle4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included sides of other triangleQ. Which of the above statements are correct?a)1, 2 and 3b)1, 3 and 4c)1, 2 and 4d)2, 3 and 4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements:Two triangles are said to be congruent, if1. Three angles of one triangle are equal to corresponding three angles of the other triangle2. Three sides of one triangle are equal to the corresponding three sides of the triangle3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included of the other triangle4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included sides of other triangleQ. Which of the above statements are correct?a)1, 2 and 3b)1, 3 and 4c)1, 2 and 4d)2, 3 and 4Correct answer is option 'D'. Can you explain this answer?.

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