Concept explainers
(a)
Prove that
(a)
Explanation of Solution
Formula Used:
Converse of Corresponding Angle Theorem:
When a transversal intersects two lines , the two lines are parallel if the corresponding
Calculation :
Given:
To Prove:
Proof:
Statement | Reason |
Given | |
Converse of Corresponding Angles Theorem. |
And
By the Converse of Corresponding Angle Theorem which states that when a transversal intersects two lines , the two lines are parallel if the corresponding angles are congruent, the lines a and c are parallel.
So,
Hence proved.
(b)
Prove that
(b)
Explanation of Solution
Formula Used:
Corresponding Angle Theorem:
If two lines are parallel , then corresponding angles are congruent.
Given:
Calculation :
To Prove:
Proof:
Statement | Reason |
Given | |
Given | |
Corresponding Angle Theorem , since | |
They are linear. | |
Hence proved.
Chapter 3 Solutions
Geometry, Student Edition
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