Page 170 - Math Course 2 (Book 2)

Inductive Reasoning and Conjecture

Skill Practice!

Make a conjecture about the next item in each sequence.
1.

11
9
2. –4, –1, 2, 5, 8 3. 6, , 5, ,4 4. –2, 4, –8, 16, –32
2 2

Make a conjecture based on the given information. Draw a figure to illustrate your conjecture.
5. Points A, B, and C are collinear, and D is between 6. Point P is the midpoint of NQ.
B and C

7. ∠1, ∠2, ∠3, and ∠4 form four linear pairs. 8. ∠3 ≅ ∠4

Determine whether each conjecture is true or false. Give a counterexample for any false conjecture.

9. Given: ∠ABC and ∠CBD form a linear pair. Conjecture: ABC ≅ CBD

10. Given: AB, BC, and AC are congruent. Conjecture: A, B, and C are collinear.

11. Given: AB + BC = AC. Conjecture: AB = BC

12. Given: ∠1 is complementary to ∠2, and ∠1 is complementary to ∠3. Conjecture: ∠2 ≅ ∠3

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