
3.4 Proofs with Perpendicular Lines
Presentation
•
Mathematics
•
10th Grade
•
Easy
+2
Standards-aligned
Larry Cooper
Used 8+ times
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16 Slides • 13 Questions
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3.4 Proofs with Perpendicular Lines
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Multiple Choice
Theorem 3-10: Perpendicular Transversal Theorem
In a plane, if a line is perpendicular to one of two parallel lines, then it is also _____ to the other.
Parallel
Perpendicular
Not Enough Information
Skew
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Multiple Choice
How do you know that g∥h ?
Linear Pair Perpendicular Theorem
Lines Perpendicular to a Transversal Theorem
Corresponding Angles Theorem
Definition of Congruent Angles
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Multiple Choice
Determine which lines, if any, must be parallel.
a∥b
c∥d
a∥e
None of the lines are parallel.
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Multiple Choice
Determine which lines, if any, must be parallel.
l∥m
n∥p
m∥p
None of the lines are parallel.
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Linear Pair Perpendicular Theorem | Geometry Helpmenu iconsearch icon
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Multiple Choice
The Parallel Postulate (3.1) states: If there is a point not on the line, then ________________.
there is exactly one line through the point parallel to the given line.
there are many lines through the point parallel to the given line.
there is exactly one line through the point perpendicular to the given line.
there are many lines through the point perpendicular to the given line.
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Multiple Choice
The Perpendicular Postulate (3.2) states: If there is a point not on the line, then ________________.
there is exactly one line through the point parallel to the given line.
there are many lines through the point parallel to the given line.
there is exactly one line through the point perpendicular to the given line.
there are many lines through the point perpendicular to the given line.
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Multiple Choice
What is the shortest distance between a point and a line?
The length of the perpendicular segment from the point to the line.
The length of the parallel segment from the point to the line.
The circumference of the semi-circle from the point to the line.
None of the above.
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Multiple Choice
Find the distance from point P to AB .
16 units
5.7 units
32 units
6.8 units
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Multiple Choice
Given: <1≅<2
What statement is NOT true?
m<1=m<2
m<1=90°
g⊥h
m<2=110°
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Multiple Choice
Andrea constructs perpendicular lines (as shown at right). What basic construction is used to construct perpendicular lines?
Copy a segment.
Perpendicular Bisector
Copy an angle
Angle Bisector
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Multiple Choice
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Multiple Choice
What geometric construction is shown in the diagram below?
an angle bisector
a line parallel to a given line
an angle congruent to a given angle
a perpendicular bisector of a segment
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Multiple Select
Based on the construction above which of the following are always true, choose all that apply.
HINT: WHAT ARE THE PROPERTIES OF A PERPENDICULAR BISECTOR...
AB=CD
AE=EB
CE=ED
AC=BC
3.4 Proofs with Perpendicular Lines
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