Geometry Worksheet
Biconditional Statements and Good Definitions
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Biconditional Statements and Good Definitions. |
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Problems require students to identify and write biconditional statements (an "if-then"
statement that is true in both directions). Students must also identify and explain good definitions.
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Sample Problems from Worksheet (diagrams not shown) |
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Biconditional Statements – Good Definitions
1) A statement combining a conditional and its converse is called a ________.
The following conditional statements are true. If the converse is also true, combine the statements as a
biconditional.
2) If 3x – 2 = 13, then x = 5.
3) If two angles have equal measures, then they are congruent.
4) If x = 4, then | x | = 4.
5) If three points are collinear, then they lie on the same line.
Write each biconditional as two conditionals that are converses of each other.
6) An angle is a right angle if and only if its measure is 90.
Identify each statement below as a good definition or not a good definition. Explain your answer.
9) A triangle is a polygon with exactly three sides.
11) A circle is a shape that is round.
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