Question

Determine whether the conjecture is true or false. If false, give a counterexample.

Given: ∠A is supplementary to ∠B and ∠B is supplementary to ∠C.
Conjecture: ∠A is supplementary to ∠C.
Select one:
a. False; they could be right angles.
b. False; they could be congruent angles.
c. True
d. False; they could be vertical angles.

Determine whether the conjecture is true or false. If false, give a counterexample.

Given: x2+4=8
Conjecture: x=−2
Select one:
a. False; x = 4
b. True
c. False; x = 3
d. False; x = 2

Make a conjecture about the next item in the sequence. 2, -20, 200, -2000, ?.

Determine whether the following conjecture is true or false. Give a counterexample if the answer is false.

AB¯¯¯¯¯¯¯¯⊥BC¯¯¯¯¯¯¯¯, then ∠ABC is a right angle



Make a conjecture about the next item in the sequence. 9, 14, 19, 24, 29, ?.


Make a conjecture about the next item in the sequence. 11, 19, 27, 35, 43, ?.


Make a conjecture about the next item in the sequence.

1, -4, 9, -16, ?


Determine whether the conjecture is true or false. If false, give a counterexample.

Given: ∠LMN and ∠XMZ are coplanar.
Conjecture: The angles are vertical angles.
Select one:
a. False; the angles may be supplementary.
b. True
c. False; one angle may be in the interior of the other.
d. False; the angles may be adjacent.


Write a conjecture about the following relationship.

∠A and ∠B are both right angles

Answer 1

What do you think the answers are?
We can check your work once you have posted some.
For #1 consider that supplementary angles are two or more angles that add up to 180 degrees. I would suggest sketching a diagram to aid you.
THat should give you some ideas for your first answer : )