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Byju's Answer
Standard VIII
Mathematics
Angle Side Angle or A-S-A Congruence
If the two ri...
Question


If the two right triangles in the diagram above are congruent. choose the pairs of equal sides and angles.

A
AB
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B
BC
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C
DE
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D
EF
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E
∠C
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F
∠F
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G
∠B
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H
∠E
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Q. In two right triangles one pair of acute angles and the sides opposite to them are equal. Prove that the 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.
Q.

In two triangles; if a pair of corresponding angles and a side are equal, then the triangles are necessarily congruent.


Q. Two triangles are congruent if any two angles and their included side are equal in both triangles.
Q.

In two triangles, if a pair of corresponding angles and the side included between the angles are equal, then the triangles are congruent by ___.


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