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2-3 Solve It!
Look at the examples of insects and noninsects below. How would you
complete the following sentence: “If an animal is an insect, then . . .”?
Explain your reasoning.
In this lesson you
will learn if the
conditional you
wrote is a good
definition.
Insects
Ant
Fly
Noninsects
Beetle
Spider
Tick
Centipede
2-3 Lesson Quiz
1. What is the converse of the following true conditional?
If the converse is also true, combine the statements as a
biconditional. If a number is even, then it is divisible by 2.
2. Do you UNDERSTAND? What are the two conditional
statements that form this biconditional? Two angles
are complementary if and only if the sum of their
measures is 908.
3. Is this definition of a rectangle reversible? If yes, write it as
a true biconditional. A rectangle is a parallelogram with
4 right angles.
Answers
hsm11gmse_0203_FPL3.indd 98
2/10/09 12:43:57 AM
Solve It!
Lesson Quiz
“. . . it has 6 legs.” OR “. . . its
body has 3 sections.” OR “. . .
it has 6 legs and its body has
3 sections.”; all of the insects
have 6 legs and bodies with
3 sections, but none of the
noninsects have 6 legs or
bodies with 3 sections.
1. Converse: If a number is
divisible by 2, then it is even.
Biconditional: A number is
even if and only if it is
divisible by 2.
2. If two angles are
complementary, then the
sum of their angle measures
is 908. If the sum of two
angle measures is 908,
then the angles are
complementary.
3. yes; A parallelogram is a
rectangle if and only if it
has 4 right angles.
Prentice Hall Geometry • Solve It/Lesson Quiz on Transparencies
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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