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Directions: Write your answers on a separate sheet of paper. Write the additional corresponding parts of the given pairs of triangles that must be congruent to apply the indicate postulate theorem. 1. SAA 2. ASA E R

Directions: Write your answers on a separate sheet of paper. Write the additional corresponding parts of the given pairs of triangles that must be congruent to apply the indicate postulate theorem. 1. SAA 2. ASA E R

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.4: Complex Numbers
Problem 62E
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Write the additional corresponding parts of the given pairs of triangles that must be congruent to apply the indicate postulate theorem.
Prove: <LOE ZVEO Statement Reasons 1.LOVE is a rhombus 2. LO. VE and L.E VO 3, OE OF 1. ALOE AVEOK 1. Civen 2. Delinition of rhombus 3. Reflexivity AN Congruenee Postulate 5. LOE ZVEO 5. CPOTC In illustration example 3, ALOE = AVEO by SSS Congruence Postulate therefore ZLOE = ZVEO by СРСТС. Illustrative Example 4 P. Given: 2C and ZR are right angles AB PO Prove: 4A P Statements Reasons 1.2C and ZR are right angles 2.2C R 3. AB = PO 4. ZB ZO 5. AARC APOR G. 1. Given 2. Any two right angles are congruer 3. Given 4. Given 5. BAA Congruence Theorem 6. CPCTC ZA ZP Since AABC and APQR are congruent by SAA Congruence Theorem, then ZA = ZP by CPCTC. Now, it is your turn to practice your skills in proving corresponding parts of congruent triangles. Activity 1 Directions: Write your answers on a separate sheet of paper. Write the additional corresponding parts of the given pairs of triangles that must be congruent to apply the indicate postulate theorem. 1. SAA F E 2. ASA E R Activity 2 Fill in the missing statements and reasons to prove the given problems. I. N Given: H is the midpoint of BS NB = NS Prove: BNH LSNH B H Proof: Statements Reasons 1. Given
Transcribed Image Text:Prove: <LOE ZVEO Statement Reasons 1.LOVE is a rhombus 2. LO. VE and L.E VO 3, OE OF 1. ALOE AVEOK 1. Civen 2. Delinition of rhombus 3. Reflexivity AN Congruenee Postulate 5. LOE ZVEO 5. CPOTC In illustration example 3, ALOE = AVEO by SSS Congruence Postulate therefore ZLOE = ZVEO by СРСТС. Illustrative Example 4 P. Given: 2C and ZR are right angles AB PO Prove: 4A P Statements Reasons 1.2C and ZR are right angles 2.2C R 3. AB = PO 4. ZB ZO 5. AARC APOR G. 1. Given 2. Any two right angles are congruer 3. Given 4. Given 5. BAA Congruence Theorem 6. CPCTC ZA ZP Since AABC and APQR are congruent by SAA Congruence Theorem, then ZA = ZP by CPCTC. Now, it is your turn to practice your skills in proving corresponding parts of congruent triangles. Activity 1 Directions: Write your answers on a separate sheet of paper. Write the additional corresponding parts of the given pairs of triangles that must be congruent to apply the indicate postulate theorem. 1. SAA F E 2. ASA E R Activity 2 Fill in the missing statements and reasons to prove the given problems. I. N Given: H is the midpoint of BS NB = NS Prove: BNH LSNH B H Proof: Statements Reasons 1. Given
Activity 2 Fill in the missing statements and reasons to prove the given problems. I. Given: H is the midpoint of BS NE = NS Prove: ZBNH LSNH H Proof: Statements Reasons 2. 3, NE NS NH E NH 1. Given 2. Definition of midpoint 3. 4. 5. SSS Congruence Postulate 6. СРСТС Activity 3 Given: CD and OE bisect each other at point V E Prove: CO = DE Statements Reasons 1. CD and OE bisect each other at point V 2. TO = Tổ 3. 1EL 2 4. OV = EV 5. A COV =A DEV 6, TO = DE 1. 2. 3. Vertical Angle Theorem 4. 5. 6. ΜΑTHΕΜΑΤICS
Transcribed Image Text:Activity 2 Fill in the missing statements and reasons to prove the given problems. I. Given: H is the midpoint of BS NE = NS Prove: ZBNH LSNH H Proof: Statements Reasons 2. 3, NE NS NH E NH 1. Given 2. Definition of midpoint 3. 4. 5. SSS Congruence Postulate 6. СРСТС Activity 3 Given: CD and OE bisect each other at point V E Prove: CO = DE Statements Reasons 1. CD and OE bisect each other at point V 2. TO = Tổ 3. 1EL 2 4. OV = EV 5. A COV =A DEV 6, TO = DE 1. 2. 3. Vertical Angle Theorem 4. 5. 6. ΜΑTHΕΜΑΤICS
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