Concept explainers
To state:whether the given statement is true or false. Also, to write the converse of the given statement and to write whether the converse statement is true of false.
Answer to Problem 24CUR
True, lines are perpendicular if lines intersect to form right
Converse statement is ‘’ If two lines are perpendicular, then the lines intersect to form right angles’’
The converse statement is also true.
Explanation of Solution
Given information:The given statement is as follows:
If two lines intersect to form right angles, then the lines are perpendicular.
The given statement is as follows:
Lines are perpendicular if lines intersect to form right angles.
Converse statement is as follows:
If two lines are perpendicular, then the lines intersect to form right angles
Now we need to state whether the given statement and its converse is true or false.
Use the fact that perpendicular lines are lines that intersect at a right (90 degrees) angle.
So,
Both the statement as well its converse is true.
Chapter 3 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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