Answers1206310 Geometry Sem 1 - CarlisleIntroduction to Proof

Introduction to Proof Answers

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Which is an example of deductive reasoning?

A
Ali notices that a plant grows 2 inches each week. Nikki has a plant, so it must grow 2 inches each week.
B
Bruce asks his friends what kind of music they like best. They all say rock, so everyone in the world likes rock music best.
C
All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.
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We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .

A
definition of congruent angles
B
definition of equal angles
C
symmetric property
D
transitive property
3

We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .

A
angle DEF
B
angle GHI
C
the measure of angle DEF
D
the measure of angle GHI

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Lesson 1.4: Introduction to Proof