Exam 2: Line and Angle Relationships

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Name the property that justifies the following conclusion: If Name the property that justifies the following conclusion:  If   , then   . , then Name the property that justifies the following conclusion:  If   , then   . .

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If m If m   = x and 90 ° x 180 ° , then   is a(n): = x and 90 ° x 180 ° , then If m   = x and 90 ° x 180 ° , then   is a(n): is a(n):

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If If   , then it can be proved that: , then it can be proved that:

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Given that Given that   , you can prove that: , you can prove that:

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With With   and point G in the interior of   ,   and   are complementary. and point G in the interior of With   and point G in the interior of   ,   and   are complementary. , With   and point G in the interior of   ,   and   are complementary. and With   and point G in the interior of   ,   and   are complementary. are complementary.

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Given that Given that   , which operation leads to the conclusion that   ? , which operation leads to the conclusion that Given that   , which operation leads to the conclusion that   ? ?

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The exterior sides of adjacent angles 1 and 2 are perpendicular. If The exterior sides of adjacent angles 1 and 2 are perpendicular. If   is the bisector of   and   is the bisector of   , find the measure of   . is the bisector of The exterior sides of adjacent angles 1 and 2 are perpendicular. If   is the bisector of   and   is the bisector of   , find the measure of   . and The exterior sides of adjacent angles 1 and 2 are perpendicular. If   is the bisector of   and   is the bisector of   , find the measure of   . is the bisector of The exterior sides of adjacent angles 1 and 2 are perpendicular. If   is the bisector of   and   is the bisector of   , find the measure of   . , find the measure of The exterior sides of adjacent angles 1 and 2 are perpendicular. If   is the bisector of   and   is the bisector of   , find the measure of   . .

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Given A - B - C and m Given A - B - C and m   while m   , it follows that: while m Given A - B - C and m   while m   , it follows that: , it follows that:

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If ray BD bisects If ray BD bisects   , then   . , then If ray BD bisects   , then   . .

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Considering the definitions and postulates of geometry, which of the following is a correct statement?

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In the figure, In the figure,   and   are known as vertical angles. and In the figure,   and   are known as vertical angles. are known as vertical angles.

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The relation between lines, "is perpendicular to," has a transitive property.

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  and   are supplementary.   is acute. What type of angle is   ? and   and   are supplementary.   is acute. What type of angle is   ? are supplementary.   and   are supplementary.   is acute. What type of angle is   ? is acute. What type of angle is   and   are supplementary.   is acute. What type of angle is   ? ?

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According to the Angle-Addition Postulate, m According to the Angle-Addition Postulate, m       m   = m   .   According to the Angle-Addition Postulate, m       m   = m   . m According to the Angle-Addition Postulate, m       m   = m   . = m According to the Angle-Addition Postulate, m       m   = m   . .

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Because it has rained the past 4 days, a person's intuition can be used to conclude that it will definitely rain again tomorrow.

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