4.1.3 Congruent Triangles - Worksheet
Example 1: Given: △ RST ≅ △ LMN . Identify the congruent corresponding parts. 1. RS ≅ ? 2. LN ≅ ? 3. ∠ S ≅ ?
4. TS ≅
5. ∠ L ≅
6. ∠ N ≅
?
?
?
Example 2: Given: △ FGH ≅ △ JKL. Find each value. 7. KL 8. x
K
3 y – 15
G
108° y
(4 x – 20)°
12
J
L
F
H
Example 3: 9. Given: E is the midpoint of AC and BD . AB ≅ CD, AB || CD Prove: △ ABE ≅ △ CDE Proof: Statements
Reasons
1. a.
1. AB || CD
? ? ? ?
2. ∠ ABE ≅ ∠ CDE , ∠ BAE ≅ ∠ DCE 2. b.
3. c. 4. d. 6. f. 7. g.
3. AB ≅ CD
4. E is the mdpt. of AC and BD .
5. e.
5. Def. of mdpt.
?
6. ∠ AEB ≅ ∠ CED 7. △ ABE ≅ △ CDE
?
?
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