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
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
Related questions
Question
100%
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ead5a41-ff7c-4410-b111-fddf681de3b9%2F3382bde0-2ed3-48bc-89ab-9438dfc4c90a%2F9zkx9rn_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ead5a41-ff7c-4410-b111-fddf681de3b9%2F3382bde0-2ed3-48bc-89ab-9438dfc4c90a%2Fe5ypdov_processed.jpeg&w=3840&q=75)
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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