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
icon
Related questions
Question
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage