1.

Which of the following statements are true (T) and which are false (F):(i) Sides opposite to equal angles of a triangle may be unequal.(ii) Angles opposite to equal sides of a triangle are equal.(iii) The measure of each angle of an equilateral triangle is 60°.(iv) If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles.(v) The bisectors of two equal angles of a triangle are equal.(vi) If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles.(vii) The two altitudes corresponding to two equal sides of a triangle need not be equal.(viii) If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent.(ix) Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal equal to the hypotenuse and a side of the other triangle.

Answer»

Which of the following statements are true (T) and which are false (F):



(i) Sides opposite to equal angles of a triangle may be unequal.



(ii) Angles opposite to equal sides of a triangle are equal.



(iii) The measure of each angle of an equilateral triangle is 60°.



(iv) If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles.



(v) The bisectors of two equal angles of a triangle are equal.



(vi) If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles.



(vii) The two altitudes corresponding to two equal sides of a triangle need not be equal.



(viii) If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent.



(ix) Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal equal to the hypotenuse and a side of the other triangle.









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