Math Homework. Do It Faster, Learn It Better.
Perpendicular Transversal Theorem
In a plane, if a line is perpendicular to one of two parallel lines , then it is perpendicular to the other line also.
Given:
Prove:
Proof
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Statement
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Reason
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1
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Given
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2
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Let the angle between the lines
and
be
and that between
and
be
.
is a right angle
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Definition of perpendicular lines
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3
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Definition of right angle
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4
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Corresponding angles
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5
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Definition of congruent angles
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6
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Substitution Property
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7
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is a right angle
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Definition of right angle
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8
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Definition of perpendicular lines
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