1. Given: KT a KE IT ET K- Prove Δ ΚΙΤΕΔ ΚΕΤ E

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 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
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
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
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