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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

Elementary Geometry For College Students, 7e
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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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
Transcribed Image Text: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
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