Page 1
Worksheet 1.1
Complete each statement.

1)
Two lines that intersect RQ are _________ and _________.
2)
Point P is between _______ and _______.
3)
Identify 2 other names for plane RPQ. __________ and __________.
4)
In plane RPQ, three noncollinear points are R, Q, and _______.
5)
Points M, P, R, Q, and __________ are coplanar.
6)
The line ___________ intersects plane A in exactly one point.
7)
Two other names for

XY are ____________ and ___________.
In the figure, P, Q, R, and S are in Plane N. Use what you have learned to determine whether each
statement is true or false.
8) ______
R, S, and T are collinear.
9) ______
There is only one plane that contains all the
points R, S, and Q.
10) ______
∠PQT lies in plane N.
11) ______
∠SPR lies in plane N.
12) ______
If X and Y are two points on line m, then
13) ______
Point K is on plane N.
14) ______
N contains RS .
15) ______
T lies in plane N.
16) ______
R, P, S, and T are coplanar.
17) ______
l and m intersect.

XY intersects plane N at P.
Questions 18-23 use the diagram at the right.
18) Name the intersection of plane YZT and XYT. _______________
19) Name the intersection of plane WXT and plane YZT. _______________.
20) Are the points Z, V, and W collinear? ________________
21) Name the planes that intersect at point W. ______________.
22) Name three lines that intersect at point Y. __________ __________ ___________
23) Do the planes YXT, WXT, and WVT intersect in one line? _____________.
Page 3
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'EOMETRY
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F. Radicals
To simplify a radical, we need to find the greatest perfect square factor of the number under the
radical sign (the radicand) and then take the square root of that number.
Ex 1 :
Ex 2 : 4 90
72
36 ⋅ 2
4 ⋅ 9 ⋅ 10
6 2
4 ⋅ 3 ⋅ 10
12 10
Ex 3 :
Ex 3 : 48
48
16 3
4 3
4 12
OR
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2 4 3
2⋅2⋅ 3
4 3
PRACTICE
Simplify each radical.
1.
121
2.
90
3.
175
4.
288
16
Page 10
This is not simplified
completely because
12 is divisible by 4
(another perfect
square)
5.
486
6. 2 16
7. 6 500
8. 3 147
9. 8 475
10.
17
Page 11
125
9
Page 12
Page 13
Name: _________________________________ Date: _____________________ Period:______
MDL Geometry
1.1 – 1.3 Review WS
Identify the following:
1. AB = __________________ 2. KL = __________________
Draw an example of AB :
Draw an example of KL :
3. JM = _________________
Draw an example of JM :
4. AB = ____________________(what does this mean)
5. What is the Ruler Postulate? How is it used to find the distance on a number line?
_____________________________________________________________________________
_____________________________________________________________________________
Use the diagram to the right to answer the following questions.
Page 14
11. Given the number line, find the indicated length.
12. What is the distance formula? _________________________
13. What is the midpoint formula? _________________________
14. Find the distance and midpoint between the two points T (3, 4) and W (2, 7).
Midpoint = __________
TW = __________
15. Use the given endpoint P(11,-5) and midpoint M(-4,-4) of PT to find the coordinates of the other
endpoint T.
Point T = ___________
16. Line t bisects CD at point M, CM = 3x and MD = x + 8. Find CD. Hint: Draw a picture!!!
CD = _________
Page 15
17. Point L is between R and M. If RL = 3x + 4, LM = x + 1, and RM = 5x + 2, find the value of x and the
lengths of RL, LM, and RM. Hint: Draw a picture!!!
X = _______
RL = _______
LM = _______
RM = _______
18. Make sure you know the following definitions:
Midpoint - ______________________________________________________________________
Line - _________________________________________________________________________
Collinear Points - _________________________________________________________________
Ray - __________________________________________________________________________
Postulate - _____________________________________________________________________
Coplanar Points - _________________________________________________________________
Point - ________________________________________________________________________
Line Segment - __________________________________________________________________
Plane - ________________________________________________________________________
Segment bisector - _______________________________________________________________
Page 16
Page 17
Page 18
Page 19
Page 20
Page 21
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Page 24
'EOMETRY
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Name: ____________________________________________ Date:_______________ Period:___
MDL Geometry
Chapter 1 Test Review #1
Show all work (either on the worksheet or on separate paper that is attached).
20. Draw an example of vertical angles and a linear pair. Don’t forget to label your drawing.
Page 25
21. Given that <JKM and <MKO make up a right angle. Solve for x, m<JKM, and m<MKO if
m<JKM = 2x +7 and m<MKO = 3x + 8.
22. What is another name for <JKM and <MKO from problem 24?
23. Define the following terms:
a.
Point - _____________________________________________________________
b. Line - ______________________________________________________________
c. Plane - _____________________________________________________________
d. Collinear points - _____________________________________________________
e. Coplanar points - ______________________________________________________
f. Line segment - _______________________________________________________
g. Ray - ______________________________________________________________
h. Postulate - __________________________________________________________
i. Midpoint - __________________________________________________________
j. Segment bisector - ____________________________________________________
k. Angle bisector - ______________________________________________________
l. Supplementary angles - _________________________________________________
m. Complementary angles - ________________________________________________
n. Adjacent angles - _____________________________________________________
o. Linear pair - _________________________________________________________
p. Vertical angles - ______________________________________________________
Page 26
Page 27
Name:_________________________________________ Date: _________________ Period:____
MDL Geometry
Chapter 1 Test Review #2
Read each question carefully. Show all work!
1.
The endpoints of two segments are given. Find the exact length of the segment.
CD = C(3, 4) , D(1, -1)
CD = ________
2.
Using the points from #1, find the midpoint of CD
Midpoint = ________
3.
The midpoint of LM is O(2, 1). One endpoint is L(1, 4). Find the coordinates of endpoint M.
Point M = _________
In exercises 4 – 8, use the diagram.
Page 28
9. Given that < ABC and < DEF are complementary, find the value of x and the measure of each angle if
m< ABC = (4x + 3)  and the m< DEF = (x -8) 
x = _______
m< ABC = _______
m< DEF = _______
10. Linear pairs are a special type of ______________________angles whose sum is _______.
11. < LMN and < NMR are a linear pair. If m< LMN = (7x + 10)  and m< NMR = 3x  , find the
value of x and the measure of each angle. Draw a picture!
x = _______
m< LMN = _______
m< NMR = _______
12. What word means “to cut in half”? ______________
13. The m< DEF is bisected by EB . Find the value of x and the measures of the angles if m< DEB = 5x 
and m< BEF = (x +16)  .
x = ______
m< DEB = _______
m< BEF = _______
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