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Geometry theorems 1-18 **EXTRA NOTES** Use Multiplication Property when segments and angles are greater than the given ones. Use Division Property when segments and angles are less than the given ones.

1

Theorem 1

If two angles are right angles, then they are congruent

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2

Theorem 2

If two angles are straight angles, then they are congruent

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3

Theorem 3

If a conditional statement is true, then the contrapositive of the statement is also true

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4

Theorem 4

If angles are supplementary to the same angle, then they are congruent

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5

Theorem 5

If angles are supplementary to congruent angles, then they are congruent

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6

Theorem 6

If angles are complementary to the same angle, then they are congruent

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7

Theorem 7

If angles are complementary to congruent angles, then they are congruent

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8

Theorem 8

If a segment is added to two congruent segments, the sums are congruent (Addition Property)

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9

Theorem 9

If an angle is added to two congruent angles, the sums are congruent (Addition Property)

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10

Theorem 10

If congruent segments are added to congruent segments, the sums are congruent (Addition Property)

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11

Theorem 11

If congruent angles are added to congruent angles, the sums are congruent (Addition Property)

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12

Theorem 12

If a segment or angle is subtracted from congruent segments or angles, the differences are congruent (Subtraction Property)

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13

Theorem 13

If congruent segments or angles are subtracted from congruent segments or angles, the differences are congruent (Subtraction Property)

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14

Theorem 14

If segments or angles are congruent, their like multiples are congruent (Multiplication Property)

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15

Theorem 15

If segments or angles are congruent, their like divisions are congruent (Division Property)

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16

Theorem 16

If angles or segments are congruent to the same angle or segment, they are congruent to each other (Transitive Property)

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17

Theorem 17

If angles or segments are congruent to congruent angles or segments, they are congruent to each other (Transitive Property)

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18

Theorem 18

Vertical angles are congruent

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