CH 1 Worksheet Packet (13-14).pdf

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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 XY

intersects plane N at P.

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.

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? _____________.

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16

This is not simplified completely because 12 is divisible by 4 (another perfect square)

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.

PRACTICE Simplify each radical. 1. 121 2. 90 3. 175 4. 288

34

322

342

122

124

48:3

⋅⋅

Ex

26

236

72:1

⋅

Ex

1012

1034

1094

904:2

⋅⋅

⋅⋅

Ex

34

316

48:3Ex

OR

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17

5. 486 6. 2 16 7. 6 500 8. 3 147

9. 8 475 10. 1259

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Name: _________________________________ Date: _____________________ Period:______

MDL Geometry 1.1 – 1.3 Review WS

Identify the following:

1. AB = __________________ 2. KL = __________________ 3. JM = _________________

Draw an example of AB : Draw an example of KL : 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.

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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 = _________

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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 - _______________________________________________________________

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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.

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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 - ______________________________________________________

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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.

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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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