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Question
Are the following statements true or false? Correct the wrong ones and write them again.
(1) An angle in a semi-circular region is an acute angle.
(2) The angle in the minor segment of a circle is a right angle.
(3) The angle in the major segment of a circle is an obtuse angle.
(4) Angles in the same segment of a circle are congruent.
(1) An angle in a semi-circular region is an acute angle.
(2) The angle in the minor segment of a circle is a right angle.
(3) The angle in the major segment of a circle is an obtuse angle.
(4) Angles in the same segment of a circle are congruent.
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Solution
(1) The given statement is false.
The true statement is: An angle in a semi-circular region is a right angle.
(2) The given statement is false.
The true statement is: An angle in a minor segment of a circle is an obtuse angle.
(3) The given statement is false.
The true statement is: An angle in a major segment of a circle is an acute angle.
(4) True, angles in the same segment of a circle are congruent.
The true statement is: An angle in a semi-circular region is a right angle.
(2) The given statement is false.
The true statement is: An angle in a minor segment of a circle is an obtuse angle.
(3) The given statement is false.
The true statement is: An angle in a major segment of a circle is an acute angle.
(4) True, angles in the same segment of a circle are congruent.
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