Angle Relationships In Parallel Lines, Converses, Perimeter & Area Worksheet Page 4
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192.2
Converses
Vocabulary
Conditional Statement
Ex: “If you have visited the statue of Liberty, then you have been to New York.”
Converse
Ex:
Example 1: Write the converse of the given statement.
If an animal has wings, then it can fly.
1.
If you are student, then you have a student I.D. card.
2.
All sharks have a boneless skeleton.
3.
All police officers eat donuts.
4.
Example 2: (a) Write the converse of the true statement. (b)Then decide whether the converse is true
or false. If false, provide a counterexample.
1. If an animal is an owl, then it is also a bird.
2. If two lines form right angles, then they are
perpendicular.
3. If an angle measures 130°, then it is obtuse.
4. If two angles are adjacent, then they are congruent.
Checkpoint
1. Find a counterexample to the statement below.
E
E
E
If two angles are supplementary, then they are formed by two parallel lines cut by a transversal.
E
b.
c.
d.
a.
B
B
B
B
1
A
A
A
2
A
1
1
1
D
D
D
2
2
2
F
F
F
F
2. Write the converse of the statement below. Then determine whether each statement is true or false. If false, give a
counterexample.
Conditional Statement:
If two angles are right angles, then they are congruent.
T or F
Converse:____________________________________________________
T or F
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