ESSENTIAL QUESTION Which theorems can be used to prove two overlapping triangles are congruent?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.2: Corresponding Parts Of Congruent Triangles
Problem 43E
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Asses
Do You UNDERSTAND?
Do You KNOW HOW?
ESSENTIAL QUESTION Which theorems
can be used to prove two overlapping triangles
are congruent?
5. What are the corresponding sides and angles in
AWXV and AXWY?
2. Construct Arguments How
could you prove that
AACD a AECB?
In Exercises 6-9, name a side or angle congruent to
each given side or angle.
6. ZCDA
7. DB
3. Error Analysis Nicholas wrote
a proof to show that
AEFD ADGE. Explain Nicholas's
error. Is it possible to prove the
triangles congruent? Explain.
8. ZFGH
G
9. HJ
Since EF = DG, LF = LG, and
ED = ED, by SAS, AEFD = ADGE.
For Exercises 10 and 11, name a theorem that
can be used to prove that each pair of triangles
is congruent.
4. Use Structure
10. AGIL and AKHL
11. ΔΝΟM and ΔΡΜΟ
Quadrilateral JKLM is a
rectangle. Which triangles =
G
are congruent to AJKL?
Explain.
M
194 TOPIC 4 Triangle Congruence
O Go Online | PearsonRealize.com
Transcribed Image Text:Asses Do You UNDERSTAND? Do You KNOW HOW? ESSENTIAL QUESTION Which theorems can be used to prove two overlapping triangles are congruent? 5. What are the corresponding sides and angles in AWXV and AXWY? 2. Construct Arguments How could you prove that AACD a AECB? In Exercises 6-9, name a side or angle congruent to each given side or angle. 6. ZCDA 7. DB 3. Error Analysis Nicholas wrote a proof to show that AEFD ADGE. Explain Nicholas's error. Is it possible to prove the triangles congruent? Explain. 8. ZFGH G 9. HJ Since EF = DG, LF = LG, and ED = ED, by SAS, AEFD = ADGE. For Exercises 10 and 11, name a theorem that can be used to prove that each pair of triangles is congruent. 4. Use Structure 10. AGIL and AKHL 11. ΔΝΟM and ΔΡΜΟ Quadrilateral JKLM is a rectangle. Which triangles = G are congruent to AJKL? Explain. M 194 TOPIC 4 Triangle Congruence O Go Online | PearsonRealize.com
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