Question 103

State whether the statement is True or False.

If the hypotenuse of one right triangle is equal to the hypotenuse of another right triangle, then the triangles are congruent.

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Solution

False
Two right-angled triangles are congruent if the hypotenuse and a side of one of the triangle are equal to the hypotenuse and one of the side of the other triangle.

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Question 104

State whether the statement is True or False.

If the hypotenuse and an acute angle of one right-angled triangle are equal to the hypotenuse and an acute angle of another right-angled triangle, then the triangles are congruent.

Q. If the hypotenuse of one right triangle is equal to the hypotenuse of another right triangle, then the triangles are congruent.

Question 99

State whether the statement is True or False.

If two legs of a right-angled triangle are equal to two legs of another right-angled triangle, then the right triangles are congruent.

Q. Which of the following statements are true and which of them are false?

(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two figures have equal areas, they are congruent.
(iv) If two triangles are equal in area, they are congruent.
(v) If two sides and one angle of a triangle are equal to the corresponding two sides and angle of another triangle, the triangle are congruent.
(vi) If two angles and any side of a triangle are equal to the corresponding angles and the side of another triangle then the triangles are congruent.
(vii) If three angles of a triangle are equal to the corresponding angles of another triangle then the triangles are congruent.
(viii) If the hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle then the triangle are congruent.
(ix) If the hypotenuse of a right triangle is equal to the hypotenuse of another right triangle then the triangles are congruent.
(x) If two triangles are congruent then their corresponding sides and their corresponding angles are congruent.

In a right angle triangle, the hypotenuse is the greatest side.

State whether the above statement is true or false.

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Congruent Triangles

Standard VII Mathematics

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Question 103 State whether the statement is True or False. If the hypotenuse of one right triangle is equal to the hypotenuse of another right triangle, then the triangles are congruent.

False Two right-angled triangles are congruent if the hypotenuse and a side of one of the triangle are equal to the hypotenuse and one of the side of the other triangle.

Question 103

State whether the statement is True or False.

If the hypotenuse of one right triangle is equal to the hypotenuse of another right triangle, then the triangles are congruent.

False
Two right-angled triangles are congruent if the hypotenuse and a side of one of the triangle are equal to the hypotenuse and one of the side of the other triangle.