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Detinition of Complementary Angles Definition of Supplementary Angles 28. Given: 21 and 22 are complementary; 21 4 Prove: 23 and 24 are complementary VING: Definition of Perpendicular Definition of Right Angle Angle Addition Postulate Vertical Angles Theorem Complement Theorem Supplement Theorem Congruent Complements Theorem Congruent Supplements Theorem Statements Reasons 1. Z1 and 2 are complementary 1. 2. m/1 + m22 = 90° 2. 3. 21 4 3. 4. mz1 = mZ4 4. 5. 5. 22 = 23 6. 6. m22 = m23 7. 7. m24 + mZ3 = 90° 8. 8. 23 and 24 are complementary MKI form a linoar pniu IKM and Given:

Detinition of Complementary Angles Definition of Supplementary Angles 28. Given: 21 and 22 are complementary; 21 4 Prove: 23 and 24 are complementary VING: Definition of Perpendicular Definition of Right Angle Angle Addition Postulate Vertical Angles Theorem Complement Theorem Supplement Theorem Congruent Complements Theorem Congruent Supplements Theorem Statements Reasons 1. Z1 and 2 are complementary 1. 2. m/1 + m22 = 90° 2. 3. 21 4 3. 4. mz1 = mZ4 4. 5. 5. 22 = 23 6. 6. m22 = m23 7. 7. m24 + mZ3 = 90° 8. 8. 23 and 24 are complementary MKI form a linoar pniu IKM and Given:

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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signment 5. Period: opic 9: Angle Proofs KNOW THE FOLLOWING: Definition of Congruence Definition of Angle Bisector Definition of Complementary Angles Definition of Supplementary Angles Definition of Perpendicular Definition of Right Angle Angle Addition Postulate Vertical Angles Theorem Complement Theorem Supplement Theorem Congruent Complements Theorem Congruent Supplements Theorem 28. Given: Z1 and 22 are complementary; Z1 4 Prove: 23 and 24 are complementary R Statements Reasons 1. Z1 and 2 are complementary 1. 2. m/1 + mZ2 = 90° 2. 3. 21 24 3. 4. mZ1 = mZ4 4. 5. 22 = 23 5. 6. 6. m22 = mZ3 7. 7. m24+mZ3 = 90° 8. 8. 23 and 24 are complementary M. 29. Given: ZJKM and ZMKL form a linear pair; ZJKM and ZLKN are supplementary Prove: ZMKL = ZLKN Reasons Statements 1. 1. ZJKM and ZMKL form a linear pair 2. 2. ZJKM and ZMKL are supplementary 3. 3. ZJKM and ZLKN are supplementary 4. 4. ZMKL = ZLKN
Transcribed Image Text:signment 5. Period: opic 9: Angle Proofs KNOW THE FOLLOWING: Definition of Congruence Definition of Angle Bisector Definition of Complementary Angles Definition of Supplementary Angles Definition of Perpendicular Definition of Right Angle Angle Addition Postulate Vertical Angles Theorem Complement Theorem Supplement Theorem Congruent Complements Theorem Congruent Supplements Theorem 28. Given: Z1 and 22 are complementary; Z1 4 Prove: 23 and 24 are complementary R Statements Reasons 1. Z1 and 2 are complementary 1. 2. m/1 + mZ2 = 90° 2. 3. 21 24 3. 4. mZ1 = mZ4 4. 5. 22 = 23 5. 6. 6. m22 = mZ3 7. 7. m24+mZ3 = 90° 8. 8. 23 and 24 are complementary M. 29. Given: ZJKM and ZMKL form a linear pair; ZJKM and ZLKN are supplementary Prove: ZMKL = ZLKN Reasons Statements 1. 1. ZJKM and ZMKL form a linear pair 2. 2. ZJKM and ZMKL are supplementary 3. 3. ZJKM and ZLKN are supplementary 4. 4. ZMKL = ZLKN
mpic 6: Venn Diagrams aw a Venn Diagram to represent each relationship. 20. All linear pairs are adjacent. 21. No rectangles are trapezoids. 23. Some multiples of 3 are also multiples of 4. a. How many boy scouts have a first aid badge? 24. The Venn Diagram below shows the number of boy scouts in a certain troop who have earned the following merit badges: camping, swimming, and first aid. Date: b. How many boy scouts have a camping badge or a swimming badge? c. How many boy scouts have a camping badge and a first aid badge? Swimming Camping d. How many boy scouts have a swimming badge but do not have a first aid badge? 10 e. How many boy scouts do not have a camping badge? 3 6 f. How many boy scouts are in the troop? First Aid Addition, Subtraction, Multiplication, Division, Distributive, Substitution, Reflexive, Symmetric, and Transitive Topic 7: Algebraic Proof KNOW THE FOLLOWING: 25. Given: 8(x – 1) = 5x – 35; Prove: x = -9 Reasons Statements ate Postulate Action pron propenty 4, of Con
Transcribed Image Text:mpic 6: Venn Diagrams aw a Venn Diagram to represent each relationship. 20. All linear pairs are adjacent. 21. No rectangles are trapezoids. 23. Some multiples of 3 are also multiples of 4. a. How many boy scouts have a first aid badge? 24. The Venn Diagram below shows the number of boy scouts in a certain troop who have earned the following merit badges: camping, swimming, and first aid. Date: b. How many boy scouts have a camping badge or a swimming badge? c. How many boy scouts have a camping badge and a first aid badge? Swimming Camping d. How many boy scouts have a swimming badge but do not have a first aid badge? 10 e. How many boy scouts do not have a camping badge? 3 6 f. How many boy scouts are in the troop? First Aid Addition, Subtraction, Multiplication, Division, Distributive, Substitution, Reflexive, Symmetric, and Transitive Topic 7: Algebraic Proof KNOW THE FOLLOWING: 25. Given: 8(x – 1) = 5x – 35; Prove: x = -9 Reasons Statements ate Postulate Action pron propenty 4, of Con
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