Download Assignment 2D Conditional Statements Period ______ Date

Geometry
Assignment 2D Conditional Statements
Name _____________________________
Period ________ Date _______________
Write a conditional statement that the Venn
Diagram represents.
1.
For each of the following conditional
statements, write the inverse, converse,
and contrapositive.
4.
If it is the fourth Thursday of November,
then it is Thanksgiving in the US.
Inverse:
Converse:
2.
Contrapositive:
5.
If x is odd, then 2x is even.
Inverse:
3.
Converse:
Contrapositive:
Revised 8/27/2012
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Printed 8/27/2012
Geometry
Assignment 2D Conditional Statements
6.
Name _____________________________
Period ________ Date _______________
If two segments are congruent, then
the two segments have the same
length.
f)
Write the contrapositive of the given
statement.
Inverse:
g) Classify the contrapositive as true
or false.
Converse:
Use the following statement for problem 8.
8.
If two angles are supplementary, then
the sum of the angle measures is 180˚.
a)
Classify the statement as true or false.
b)
Write the converse of the given
statement.
c)
Classify the converse as true or false.
d)
Write the inverse of the given
statement.
e)
Classify the inverse as true or false.
f)
Write the contrapositive of the given
statement.
g)
Classify the contrapositive as true or
false.
Contrapositive:
Use the following statement for problem 7.
7.
If an angle is a right angle, then the
angle measures 90˚.
a) Classify the conditional statement
as true or false.
b) Write the converse of the given
statement.
c) Classify the converse as true or
false.
d) Write the inverse of the given
statement.
e) Classify the inverse as true or false.
Revised 8/27/2012
page 2 of 4
Printed 8/27/2012
Geometry
Assignment 2D Conditional Statements
Name _____________________________
Period ________ Date _______________
For questions 9 – 11, fill in the blank.
Then draw a sketch that helps you
illustrate your answer.
9.
13.
If two lines intersect, then their
intersection is ______ point(s).
These angles can be described as a
__________ _________. Which
makes them _________________.
What is the value of x? Then label
each angle measure.
Sketch:
(7x +4)°
10.
(4x)°
Through any _____ points there exists
exactly one line.
Sketch:
14.
These angles are ________________.
What is the value of x? Then label
each angle measure.
11.
If two points lie is a plane, then the
_____ containing them lies in the
plane.
(11x + 2)°
22°
Sketch:
15.
12.
If ∠D and ∠E are complementary, and
m∠D = 67° , what is the measure of
∠E ?
The marked angles are ___________,
which makes the angles __________.
What is the value of x? Then label
each angle measure.
(140 - x)°
Revised 8/27/2012
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x°
Printed 8/27/2012
Geometry
Assignment 2D Conditional Statements
16.
What is the midpoint of AB ?
17.
One endpoint of CD is located at
( −7, −4 ) . If the midpoint of CD is
Name _____________________________
Period ________ Date _______________
20.
What is the equation of the line
in slope intercept form that has a
slope of –5, passing through the
point (6, –2)?
Use the following diagram to answer
questions 21 – 22.
located at ( 0,0 ) , what are the
coordinates of the other endpoint?
Q
P
R
M
For questions 18 – 19, determine a6 and a7
for each of the given sequences:
18.
N
21. If ∠MNP is a right angle and
m∠MNR = 64˚, find m∠PNR.
1
2
3
4
a1 = , a 2 = , a 3 = , a 4 =
3
7
11
15
22. If m∠QRP = 83˚, find m∠QRM.
a6 = ____________
a7 = ____________
19.
a1=1, a 2 =2, a3 =4, a 4 =7, a5 =11
a6 = ____________
a7 = ____________
Revised 8/27/2012
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Printed 8/27/2012