Font size
WorksheetsInequalities and Indirect Proof
Total questions: 21
Worksheet time: 5hrs 15mins
m∠1 _____ m∠5
<
>
=
m∠1 _____ m∠2
<
>
=
m∠3 _____ m∠4
<
>
=
m∠5 _____ m∠2
<
>
=
Given: All registered voters must be at least 18 years old. What, if anything, can you conclude from the following statement?
Eric is 19 years old.
Eric is a registered voter.
Eric is not a registered voter.
No conclusion
Given: All registered voters must be at least 18 years old. What, if anything, can you conclude from the following statement?
Bonnie is not registered to vote.
Bonnie is less than 18 years old.
Bonnie is at least 18 years old.
No conclusion
Given: All registered voters must be at least 18 years old. What, if anything, can you conclude from the following statement?
Will is 15 years old.
Will is a registered voter.
Will is not a registered voter.
No conclusion
Given: All registered voters must be at least 18 years old. What, if anything, can you conclude from the following statement?
Barbara is a registered voter.
Barbara is at least 18 years old.
Barbara is less than 18 years old.
No conclusion
What is the first step to the following indirect proof?
If n2 + 6 = 32, then n ≠ 5.
But this contradicts the fact that n2 + 6 = 32.
Our temporary assumption must be false, and it follows that n ≠ 5.
Assume temporarily that n = 5.
Then n2 + 6 = 31.
What is the second step to the following indirect proof?
If n2 + 6 = 32, then n ≠ 5.
But this contradicts the fact that n2 + 6 = 32.
Our temporary assumption must be false, and it follows that n ≠ 5.
Assume temporarily that n = 5.
Then n2 + 6 = 31.
What is the third step to the following indirect proof?
If n2 + 6 = 32, then n ≠ 5.
But this contradicts the fact that n2 + 6 = 32.
Our temporary assumption must be false, and it follows that n ≠ 5.
Assume temporarily that n = 5.
Then n2 + 6 = 31.
What is the fourth step to the following indirect proof?
If n2 + 6 = 32, then n ≠ 5.
But this contradicts the fact that n2 + 6 = 32.
Our temporary assumption must be false, and it follows that n ≠ 5.
Assume temporarily that n = 5.
Then n2 + 6 = 31.
In △TOP, if OT > OP, then m∠P > m∠ (a) .
In △RED, if m∠D < m∠E, then RD > (a) .
Points X and Y are in plane M. If segment PX is perpendicular to plane M, then PX (a) PY.
Two sides of a triangle have lengths 6 and 8. The length of the third side must be greater than _____ and less than _____.
2
14
7
15
If AB ≅ AC and m∠1 > m∠2, then BT _____ CT.
<
>
=
If TB ≅ TC and AB < AC, then m∠3 ______ m∠4.
<
>
=
If m∠1 = m∠2 and m∠3 = m∠4, then AB _____ AC.
<
>
=
If TB ≅ TC and m∠3 > m∠4, then AB _____ AC.
<
>
=
If a > b, c < b, and d = c, then a _____ d.
<
>
=
