Question

X. Given: \overline{ST} \parallel \overline{RU}; \overline{SR} \parallel \overline{TU} Prove: \triangle SRT \cong \triangle UTR Statements 1) \overline{ST} \parallel \overline{RU} Proof Reasons 1) 2) If lines \parallel, alt. int. \angle s \cong 3) \overline{SR} \parallel \overline{TU} 3) 4) \angle SRT \cong \angle UTR 4) 5) 5) 6) 6) (16 Pts.)

          X.
Given: \overline{ST} \parallel \overline{RU}; \overline{SR} \parallel \overline{TU}
Prove: \triangle SRT \cong \triangle UTR
Statements
1) \overline{ST} \parallel \overline{RU}
Proof
Reasons
1)
2) If lines \parallel, alt. int. \angle s \cong
3) \overline{SR} \parallel \overline{TU}
3)
4) \angle SRT \cong \angle UTR
4)
5)
5)
6)
6)
(16 Pts.)

X.
Given: ST ∥RU; SR ∥TU
Prove: SRT ≅UTR
Statements
1) ST ∥RU
Proof
Reasons
1)
2) If lines ∥, alt. int. ∠s ≅3) SR ∥TU
3)
4) ∠SRT ≅∠UTR
4)
5)
5)
6)
6)
(16 Pts.)

Added by Holly G.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Federico Castro

Step 1

(Statement 2) 3) SR | ITU (Given) 4) If lines intersect, corresponding angles are congruent. (Statement 3) 5) LSRT = LUTR (Statement 3) Now, let's use these statements to prove SRT = 4 UTR'. 6) LSRT and LUTR are corresponding angles because they are formed by Show more…

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Given: ST | RU; SR | ITU (16 PL) Prove: SRT = 4 UTR' Proof Statement 1: ST | RU Reasoning 2) If lines intersect, alternate interior angles are congruent. Statement 2: SR | ITU Reasoning 3) If lines intersect, corresponding angles are congruent. Statement 3: LSRT = LUTR