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%
Please answer number 1 only, thank you.
The example is the picture number B.
![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%2F240223b3-6387-40a5-bb7b-b19465c75762%2Flk5bqxc_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
![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%2F240223b3-6387-40a5-bb7b-b19465c75762%2Fi0aphgc_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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning