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Consider the following statements :I. Three sides of a triangle are equal to three sides of another triangle, then the triangles are congruent.II. If three angles of a triangle are respectively equal to three angles of another triangle, then the two triangles are congruent.Of these statements :

Correct Answer: I is true and II is false
Statement II is false, as in case of equilateral triangles of different sides of the triangle are similar.

Two right angled triangles are congruent if :
I. The hypotenuse of one triangle is equal to the hypotenuse of the other.
II. A side for one triangle is equal to the corresponding side of the other.
III. Sides of the triangles are equal.
IV. An angle of the triangle are equal.
Of these statements, the correct ones are combination of:

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one-fourth as long as each corresponding side of the bigger triangle. The ratio of the area of the three small triangles taken together to that of the rest of the bigger triangle is

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one-third as long as each corresponding side of the bigger triangle. The ratio of the area of the three small triangles taken together to that of the rest of the bigger triangle is ?

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be atvariance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statement 1 : No squares are rectangles.
Statement 2 : All rectangles are triangles.
Conclusion I : Some triangles are squares.
Conclusion II : Some triangles are rectangles.

Select three out of five combination of the parts 1, 2, 3, 4 and 5 which can fit into each other to form an equilateral triangle.
Construction of Squares and Triangles mcq question image

Select three out of five combination of the parts 1, 2, 3, 4 and 5 which can fit into each other to form an equilateral triangle.
Construction of Squares and Triangles mcq question image

Select three out of five combination of the parts 1, 2, 3, 4 and 5 which can fit into each other to form an equilateral triangle.
Construction of Squares and Triangles mcq question image

Select three out of five combination of the parts 1, 2, 3, 4 and 5 which can fit into each other to form an equilateral triangle.
Construction of Squares and Triangles mcq question image

Select three out of five combination of the parts 1, 2, 3, 4 and 5 which can fit into each other to form an equilateral triangle.
Construction of Squares and Triangles mcq question image

Select three out of five combination of the parts 1, 2, 3, 4 and 5 which can fit into each other to form an equilateral triangle.
Construction of Squares and Triangles mcq question image