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Conditional Statements

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15 Terms

1

Conditional Statements

if then statements

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2

Converse

when the hypothesis and the conclusion are reversed

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3

Counterexample

a way to show that a mathematical statement is false

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4

Biconditional

when a conditional AND its converse are both true they can be combined into a single statement with "if and only if"

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5

Complementary angles

sum up to 90°

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6

Supplementary angles

sum up to 180°

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7

Vertical angles

two angles that are on opposite "sides" of two intersecting lines

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8

Perpendicular lines

two lines that intersect to form right angles

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9

theorem 2.2

Angle Bisector Theorem

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10

theorem 2.3

Vertical angles are congruent

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11

theorem 2.4

If two lines are perpendicular, then they form congruent adjacent angles

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12

theorem 2.5

If two lines form congruent adjacent angles, then the lines are perpendicular

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13

theorem 2.6

If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary

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14

theorem 2.7

If two angles are supplements of congruent angles (or the same angle), then the two angles are congruent

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15

theorem 2.8

If two angles are complements of congruent angles (or the same angle), then the two angles are congruent

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