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Geometry Chapters 1 & 2 Theorem & Postulate Review Answers

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1. If two angles are right angles, then __________________ _______________.

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1. If two angles are right angles, then they are congruent.

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2. If two angles are straight angles, then ________________ _______________.

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2. If two angles are straight angles, then they are congruent.

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3. If a conditional statement is true, then the _____________________ is also true.

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3. If a conditional statement is true, then the contrapositive is also true.

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4. If angles are supplementary to the same angle, then ________ _________ _________________.

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

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5. If angles are supplementary to congruent angles, then ________ ________ __________________.

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

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6. If angles are complementary to the same angle, then ________ _________ _________________.

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

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7. If angles are complementary to congruent angles, then ________ ________ __________________.

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

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8. If a segment is added to two congruent segments, then the sums are __________________.

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8. If a segment is added to two congruent segments, then the sums are equal.

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9. If an angle is added to two congruent angles, then the sums are __________________.

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9. If an angle is added to two congruent angles, then the sums are equal.

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10. If congruent segments are added to congruent segments, the sums are __________________.

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10. If congruent segments are added to congruent segments, the sums are equal.

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11. If congruent angles are added to congruent angles, the sums are __________________.

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11. If congruent angles are added to congruent angles, the sums are equal.

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12. If a segment (or angle) is subtracted from congruent segments (or angles), the differences are ______________.

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12. If a segment (or angle) is subtracted from congruent segments (or angles), the differences are equal.

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13. If congruent segments (or angles) are subtracted from congruent segments (or angles), the differences are ______________.

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13. If congruent segments (or angles) are subtracted from congruent segments (or angles), the differences are equal.

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14. If segments (or angles) are congruent, their like multiples are __________________.

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14. If segments (or angles) are congruent, their like multiples are equal.

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15. If segments (or angles) are congruent, their like divisions are __________________.

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15. If segments (or angles) are congruent, their like divisions are equal.

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16. If angles (or segments) are congruent to the same angle (or segment), they are ______________ to each other.

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

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17. If angles (or segments) are congruent to congruent angles (or segments), they are___________________ to each other.

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17. If angles (or segments) are congruent to congruent angles (or segments), they are congruent to each other.

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18. Vertical angles are __________________.

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18. Vertical angles are congruent.

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