WARM UP What careers could use you the CADD program for?

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Presentation transcript:

WARM UP What careers could use you the CADD program for?

2.5 Addition and Subtraction Properties

Addition Properties A B C 9 4 D AB = CD Does AC = BD? Why?

Theorem 8: If a segment is added to two congruent segments, the sums are congruent. (Addition Property)

Given: PQ = RS Conclusion: PR = QS Write a paragraph proof.

A similar relationship holds true for angles. Theorem 9: If an angle is added to two congruent angles, the sums are congruent. (Addition Property)

Theorem 10: If congruent segments are added to congruent segments, the sums are congruent. (Addition Property)

Theorem 11: If congruent angles are added to congruent angles, the sums are congruent. (Addition Property)

What about subtraction? Since subtraction is the opposite of addition, do the same properties hold true? Try this one?

Theorem 12: If a segment or angle is subtracted from congruent segments or angles, the differences are congruent. (Subtraction Property) Theorem 13: If congruent segments or angles are subtracted from congruent segments or angles, the differences are congruent. (Subtraction Property)

Using + and – Properties in Proofs 1. An addition property is used when the segments or angles in the conclusion are greater than those in the given information. 2. A subtraction property is used when the segments or angles in the conclusion are smaller than those in the given information.

Practice

Practice