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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Please answer number 2 only, thank you.
The example is in the picture B.
![Illustrative example 4:
Given: AK bisects LMAS
A
K
ZMKA = LSKA
Prove: Δ ΜΑΚ ASAK
STATEMENT
REASONS
1. AR bisects LMAS
1.Given
2. ZMAK LSAK
(A)
2. Definition of Angle Bisector
3. AR = AK
(S)
3. Reflexive Property
4. ZMKA ZSKA
(A)
4. Given
5. A MAK A SAK
5. ASA Congruence Postulate](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f971078-2283-4213-9683-19d31d69b884%2F7059e74e-07e0-4be3-89c2-a878e59aa0de%2Fwsfvc36_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Illustrative example 4:
Given: AK bisects LMAS
A
K
ZMKA = LSKA
Prove: Δ ΜΑΚ ASAK
STATEMENT
REASONS
1. AR bisects LMAS
1.Given
2. ZMAK LSAK
(A)
2. Definition of Angle Bisector
3. AR = AK
(S)
3. Reflexive Property
4. ZMKA ZSKA
(A)
4. Given
5. A MAK A SAK
5. ASA Congruence Postulate
![Prove that the two triangles are congruent by writing a two-column proof for
each given item. Write your answer on a separate sheet of paper.
1. Given: KT = KE
IT = ET
K-
Prove: A KIT a A KET
E
2. Given: Ais the midpotnt of
HE and SR
Prove: A SHA A REA
R
3. Given: AR = TR
R
SA = ST
Prove: A ARS = A TRS
A.
S
T](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f971078-2283-4213-9683-19d31d69b884%2F7059e74e-07e0-4be3-89c2-a878e59aa0de%2Fjurt5s8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove that the two triangles are congruent by writing a two-column proof for
each given item. Write your answer on a separate sheet of paper.
1. Given: KT = KE
IT = ET
K-
Prove: A KIT a A KET
E
2. Given: Ais the midpotnt of
HE and SR
Prove: A SHA A REA
R
3. Given: AR = TR
R
SA = ST
Prove: A ARS = A TRS
A.
S
T
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