10. Complete the proof to show that /KGJ≈ ZKHI in rectangle GHIJ. H G Statements 1. HJ~ GI K 2. GK ~ HK ≈ IK ≈ JK 3. ZKGJ≈ /KJG 4. 5. ZKGJ ZKHI I Reasons 1. Diagonals of a rectangle are congruent. 2. Diagonals of a rectangle bisect each other. 3. Definition of an isosceles triangle 4. 5. Transitive property of congruence ZKJG ZKHI; Alternate interior angles ZKIH ZKHI; Definition of an isosceles triangle ZKIH ZKHI; Alternate interior angles ZKJG ≈ /KHI; Definition of an isosceles triangle
10. Complete the proof to show that /KGJ≈ ZKHI in rectangle GHIJ. H G Statements 1. HJ~ GI K 2. GK ~ HK ≈ IK ≈ JK 3. ZKGJ≈ /KJG 4. 5. ZKGJ ZKHI I Reasons 1. Diagonals of a rectangle are congruent. 2. Diagonals of a rectangle bisect each other. 3. Definition of an isosceles triangle 4. 5. Transitive property of congruence ZKJG ZKHI; Alternate interior angles ZKIH ZKHI; Definition of an isosceles triangle ZKIH ZKHI; Alternate interior angles ZKJG ≈ /KHI; Definition of an isosceles triangle
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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