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Square Root of a Number

If two triang...

Question

If two triangles are congruent, their areas are equal.

A

True

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B

False

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Solution

The correct option is A
True

When two triangles are congruent, they superimpose on each other. So, the areas must be equal.

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Similar questions

Q. If two triangles are equal in area, they are congruent.

Q. Write the inverse and contrapositive of the statement
"If two triangles are congruent, then their areas are equal."

(a)

Inverse of the statement :
If two triangles are not congruent, then their areas are equal.

(b)

Contrapositive of the statement:
If the areas of the two triangles are equal, then the triangles are congruent.

Q. Assertion :If two triangles are congruent, then their corresponding angles are equal Reason: Two congruent triangles have same area

Q. Which of the following is true about the converse and contrapositive of the statement
"If two triangles are congruent, then their areas are equal."
(i) Converse of the statement :
If the areas of the two triangles are equal, then the triangles are congruent.
(ii) Contrapositive of the statement:
If the areas of the two triangles are not equal, then the triangles are not 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.

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