Q20 Write proof in two column formGi... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 3: Q20 (page 82)

Write proof in two column form
Given: $k 鈭� l$
Prove: $鈭� 2 鈮� 鈭� 7$

Short Answer

Expert verified

Proof in two column form is

Statement	Reason
1. $k 鈭� l$	Given
2. $鈭� 2 鈮� 鈭� 5$	Vertically opposite angle
3. $鈭� 5 鈮� 鈭� 7$	Corresponding angle
4. $鈭� 2 鈮� 鈭� 7$	Transitive Property

Step by step solution

Step 1. Observations from figure

Line $t$ is transversal to the parallel lines $k$ and $I$

Step 2. Vertically opposite angle

$鈭� 2$ and $鈭� 5$ are vertically opposite angles, so they are congruent

$鈭� 2 鈮� 鈭� 5$

Step 3. Corresponding angles

$鈭� 5$ and $鈭� 7$ forms a pair of corresponding angles which are congruent $鈭� 5 鈮� 鈭� 7$

Step 4. Use transitive property

If $a = b$ and $b = c$ then $a = c$

Since, $鈭� 2 鈮� 鈭� 5$ and $鈭� 5 鈮� 鈭� 7$ implies $鈭� 2 鈮� 鈭� 7$

Thus, proof in two column form is

Statement	Reason
1. $k 鈭� l$	Given
2. $鈭� 2 鈮� 鈭� 5$	Vertically opposite angle
3. $鈭� 5 鈮� 鈭� 7$	Corresponding angle
4. $鈭� 2 鈮� 鈭� 7$	Transitive Property

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91影视

Write proof in two column form
Given: $k 鈭� l$
Prove: $鈭� 2 鈮� 鈭� 7$

Short Answer

Step by step solution

Step 1. Observations from figure

Step 2. Vertically opposite angle

Step 3. Corresponding angles

Step 4. Use transitive property

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91影视

Write proof in two column formGiven: k鈭�lProve: 鈭�2鈮�鈭�7

Short Answer

Step by step solution

Step 1. Observations from figure

Step 2. Vertically opposite angle

Step 3. Corresponding angles

Step 4. Use transitive property

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Logic and Functions

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Write proof in two column form
Given: $k 鈭� l$
Prove: $鈭� 2 鈮� 鈭� 7$