Name an angle supplementary to <AOD. Then name an angle complementary to <EOD.
Supplementary to <AOD: <DOC or <AOB
Complementary to <EOD: <DOC
Use inductive reasoning to find the next two numbers.
1,4,2,5,3,6,...
4,7
Name a pair of alternate interior angles.
<2 and <6, or <3 and <7
Write the definition as a biconditional.
A penny is worth one cent.
It is a penny if and only if it is worth one cent.
Determine if the conditional is true or false. If it is false, find a counterexample.
If you play a sport with a round ball, then you play basketball.
False, you could play baseball.
What are two other ways to name plane C?
Answer may vary.
Find one counterexample to show that each conjecture is false.
<1 and <2 are a linear pair, so one of the angles is acute.
Two right angles.
What is the value of x if a is parallel to b?
x=30
Name two segments skew to line CD.
Line BF, Line AE, Line EH, or Line FG
Find the value of x.
x=20
Find the distance between points (10,14) and (-8,14).
18
Write the contrapositive of the given conditional statement.
If your temperature is normal, then your temperature is 98.6 degrees Fahrenheit.
If your temperature is not 98.6 degrees Fahrenheit, then your temperature is not normal.
Will the side pieces be parallel? If yes, explain your reasoning.
Yes by Theorem 3-9.
What is the measure of <1?
m<1 = 98
Write the inverse of the conditional statement.
If two angles share a side, then they are adjacent.
If two angles do not share a side, then they are not adjacent.
If m,ABD = 79, what are m<ABC and m<DBC?
m<ABC = 45
m<DBC = 34
Use the Law of Detachment and the Law of Syllogism to make conclusions from the following statement.
If you live in Minneapolis, then you live in Minnesota.
Darrick lives in Minneapolis.
If you live in Minnesota, then you live in the 10,000 lakes state.
Since Darrick lives in Minneapolis, then he lives in the 10,000 lakes state.
Find the values of x, y, and z.
x=78
y=102
z=29
What is the measure of <2?
m<2=65
IF ST = 17 and RT = 38, find RS.
21
Segment RS has endpoints at (2,4) and (-1,7). What are the coordinates of its midpoint M?
(0.5,5.5)
What conjecture can you make about the sum of the first 30 even numbers?
30*31, or 930
Write a proof.
Given: a is parallel to b.
Prove: <1 and <8 are supplementary.
Write a proof.
Proof
The midpoint of segment BC is (5,-2). One endpoint is (3,4). What are the coordinates of the other endpoint?
(7,-8)