### Jeopardy

```Jeopardy
Prove me
Go the
Under one Possible
Give me a
Distance Condition Conclusions Good Reason Wrong
Q \$100
Q \$100
Q \$100
Q \$100
Q \$100
Q \$200
Q \$200
Q \$200
Q \$200
Q \$200
Q \$300
Q \$300
Q \$300
Q \$300
Q \$300
Q \$400
Q \$400
Q \$400
Q \$400
Q \$400
Q \$500
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Q \$500
Q \$500
Q \$500
\$100 Question from Go the
Distance
The distance formula is this.
What is
\$200 Question from Go the
Distance
The distance between T(5, 2) and R(-4, -1) is this.
What is 3 10
\$300 Question from Go the
Distance
The distance between
points a and d is this.
What is 4 5
\$400 Question from Go the
Distance
The midpoint between (–1, 2)
and (3, –6) is this.
What is M(1, -2)
\$500 Question from Go the
Distance
The missing endpoint given endpoint- (4,2) midpoint-(6,0) is this.
What is (8, -2)
\$100 Question from Under one
Condition
Write the statement as a conditional:
An acute angle measures less than 90 degrees.
What is if an angle is acute, then it
measures less than 90 degrees.
\$200 Question from Under one
Condition
What is the converse and inverse of the following statement:
If ABC is equilateral, then it is isosceles.
Converse: If ABC is isosceles, then it is equilateral.
Inverse: If ABC is not equilateral, then it is not isosceles.
\$300 Question from Under one
Condition
Write the following statement as a conditional, and write its
contrapositive.
All obtuse angles have measure greater than 90.
Conditional: If an angle is obtuse, then it has measure greater
than 90.
Contrapositive: If an angle does not have measure greater than
90, then it is not obtuse.
\$400 Question from Under one
Condition
Write the converse, inverse, and contrapositive of the following
conditional.
If a triangle is a right triangle, then it has a 90 degree angle.
Converse: If a triangle has a 90 degree angle, then it is a right
triangle.
Inverse: If a triangle is not a right triangle, then it does not have a
90 degree angle.
Contrapositive: If a triangle does not have a 90 degree angle, then it
is not a right triangle.
\$500 Question from Under one
Condition
Write the converse, inverse, and contrapositive of the following
conditional, and determine the truth value of each.
If two angles have measure 90, then the angles are congruent.
Converse: If two angles are congruent, then they have measure 90.
Truth Value: False
Inverse: If two angles do not have measure 90, then they are not
congruent.
Truth Value: False
Contrapositive: If two angles are not congruent, then they do not
have measure 90.
Truth Value: False
\$100 Question from Possible
Conclusions
Consider the following conditional statement. If the
conditional and it’s converse are true, write it as a
biconditional.
If three points are collinear, then they lie on the same line.
Three points are collinear if and only if they
lie on the same line.
\$200 Question from Possible
Conclusions
Test the following statement to see if it is
reversible. If so, write it as a biconditional.
If not, write not reversible.
A triangle with two sides of equal length is
an isosceles triangle.
A triangle is an isosceles triangle if
and only if it has two sides of equal
length.
\$300 Question from Possible
Conclusions
If possible, use the Law of Detachment
to draw a conclusion. If not write, not
possible.
If a person goes to the zoo, he or she will
see animals.
Kayla sees animals.
Not possible.
\$400 Question from Possible
Conclusions
Use the Law of Syllogism to draw a conclusion.
If a polygon is a hexagon, then the sum of its
angles is 720.
If the sum of the angles of a polygon is 720,
then it has six sides.
If a polygon is a hexagon, then it has six sides.
\$500 Question from Possible
Conclusions
Use the Law of Detachment and the Law of
Syllogism to draw a conclusion.
If you live in Little Rock, then you live in Arkansas.
Levon lives in Little Rock.
If you live in Arkansas, then you live in the 25th state
to enter the Union.
Levon lives in the 25th state to enter the union.
\$100 Question from Give me a
Good Reason
If 4m<QWR = 120, then _____, by the ____________ Property
of Equality.
What is 30, Division
\$200 Question from Give me a
Good Reason
Name the property for the step taken.
AB = EF; therefore, AB + CD = EF + CD
What is the Addition Property of Equality
\$300 Question from Give me a
Good Reason
Give a reason for each step.
7 − 4 = 10
7 = 14
=2
Given
Division Property of =
\$400 Question from Give me a
Good Reason
Justify each statement. Given: XY = 42
X
3(x + 4) Z
XZ + ZY = XY
3(x + 4) + 3x = 42
3x + 12 + 3x = 42
6x + 12 = 42
6x = 30
x=5
3x
Y
Substitution Prop. Of =
Distributive Prop.
Simplify.
Subtraction Prop. Of =
Division Prop. Of =
\$500 Question from Give me a
Good Reason
Solve for x. Justify each step.
m< GFI = 128.
a. m< GFD + m< DFI = m< GFI
b. 9x – 2 + 4x = 128
c. 13x – 2 = 128
d. 13x = 130
e. x = 10
9x -2
4x
Substitution Prop. Of =
Simplify.
Division Prop. Of =
\$100 Question from Prove me
Wrong
Two angles whose sides form two pairs of opposite
rays are these.
What are vertical angles?
\$200 Question from Prove me
Wrong
Two pairs of congruent angles in the
figure are these.
B
D
O
C
A
What are <DOA & < BOC; ,DOB & <AOC
\$300 Question from Prove me
Wrong
The value of x is this.
4x
+ 90
4
What is 30

\$400 Question from Prove me
Wrong
If m < 1 = m < 3, order the steps given to prove that m < 2 = m < 4.
1 2
1. By the Angle Addition Postulate, m < 3 + m < 4 = 180.
2. Prove: m < 2 = m < 4.
3. By substitution, m < 3 + m < 2 = m < 3 + m < 4.
4. By the Angle Addition Postulate, m < 1 + m < 2 = 180.
5. Given: m < 1 = m < 3
6. m < 1 + m < 2 = m < 3 + m < 4, by the Transitive Property
of =.
7. Subtract m < 3 from both sides, and you get m < 2 = m < 4.
3 4
5, 2, 4, 1, 6, 3, 7 or 5, 2, 1, 4, 6, 3, 7
\$500 Question from Prove me
Wrong
Given: <1 and <2 are complementary.
<3 and <2 are complementary.
Prove: <1 ≅ <3
Statement
<1 and <2 are complementary
<3 and <2 are complementary
<1 + <2 = 90 and <3 + <2 = 90
<1 + <2 = <3 + <2
<1 = <3
or <1 ≅ <3
Reason
Given
Given
Definition of complementary angles
Substitution Property of =
Subtraction Property of =
```