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Informal Geometry
Conditional Statements
For each statement below, write the converse, inverse, and contrapositive of that statement. Then tell whether each of
them are true or false.
1.
2.
3.
4.
5.
If you live in Dayton, then you live in Ohio.
If an animal is a fish, then it lives in the water.
If three points lie on the same line, then they are collinear.
If a figure is a square, then it has four sides.
If an angle is 90°, then it is a right angle.
For each statement below, first rewrite it as an if-then conditional. Then write the converse. Tell if the converse is true
or false. If the converse is false, give a counterexample to prove it.
6. All ducks are birds.
7. Obtuse angles have measures greater than 90°.
8. Two angles that make a linear pair are always supplementary.
Informal Geometry
Conditional Statements
For each statement below, write the converse, inverse, and contrapositive of that statement. Then tell whether each of
them are true or false.
1.
2.
3.
4.
5.
If you live in Dayton, then you live in Ohio.
If an animal is a fish, then it lives in the water.
If three points lie on the same line, then they are collinear.
If a figure is a square, then it has four sides.
If an angle is 90°, then it is a right angle.
For each statement below, first rewrite it as an if-then conditional. Then write the converse. Tell if the converse is true
or false. If the converse is false, give a counterexample to prove it.
6. All ducks are birds.
7. Obtuse angles have measures greater than 90°.
8. Two angles that make a linear pair are always supplementary.
Informal Geometry
Conditional Statements
For each statement below, write the converse, inverse, and contrapositive of that statement. Then tell whether each of
them are true or false.
1.
2.
3.
4.
5.
If you live in Dayton, then you live in Ohio.
If an animal is a fish, then it lives in the water.
If three points lie on the same line, then they are collinear.
If a figure is a square, then it has four sides.
If an angle is 90°, then it is a right angle.
For each statement below, first rewrite it as an if-then conditional. Then write the converse. Tell if the converse is true
or false. If the converse is false, give a counterexample to prove it.
6. All ducks are birds.
7. Obtuse angles have measures greater than 90°.
8. Two angles that make a linear pair are always supplementary.
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