Download Unit 25 PPF 501 503 Worksheet

PPF 501 & PPF 503 Work Sheet CRS SKILL PPF 501 PPF 503 Period____________ Name_________________________________________ LEVEL Level 1 – ALL students must attain mastery at this level DESCRIPTION PPF 301 Exhibit some knowledge of he angle associated with parallel lines PPF 401 Find the measure of an angle using properties of parallel lines PPF 402 Exhibit knowledge of basic angle properties and special sums of angle measures Level 2 – MOST students will PPF 501 Use several angle properties to find an attain mastery of the focus skill in unknown angle measures isolation. PPF 503 Use properties of isosceles triangles Level 3 – SOME students will attain mastery of focus skill with other skills Level 4 – SOME students will attain mastery of focus topics covered in a more abstract way Level 5 – FEW students will PPF 601 Draw conclusions based on a set of attain mastery of the extension conditions skill. Level 1 1. Find the measure of ∠A. 1 2. In the figure below the j and k are parallel. Find the value of x, y, and z. X= __________ j
x
132°
Y= __________ y z
Z= __________ k
3. List the three angle that are congruent to ∠a in the figure to the right. What is the measure of these angles? 4. List the three angles that are congruent to ∠b. 5. In the figure below AB CD . What is the measure of ∠ADC? 6. Find the m∠x, ∠y, and ∠z in the figure below. m∠x = ________ m∠y= ________ m∠z = ________ 2 Level 2 7. Solve for x and then find the indicated angles. x = __________ K
m∠KPN = ________ P
(4X+3)°
m∠LPM = _______ N
8. Find the measure of x. Then find m∠QRT and m∠TRS x = _________ m∠QRT = __________ m∠TRS = __________ 9. Find the measure of ∠X. 3x+7°
151°
L
(2X+31)°
M
15x-30°
8x+50°

10. In the figure below CB is the angle bisector of ∠DCE. Find x, m∠BCE and m∠DCE. x= __________ m∠BCE=__________ m∠DCE=__________ m∠DCB = 2 9°
D
B
m∠BCE=2x+7
E
C
3 11. Find the value of x in the figure below. 12. Find the value of x in the figures below. 13. Find the measure of each of the following angles. a.) B b.) D 20 C 55 56 A m∠A = B A D C 27 m∠DCB = 4 14. Given that l and m are parallel find the measure of angles 1,2,3,4, and 5 in the figure below. m∠1=__________ m∠2=__________ m∠3=__________ m∠4=__________ m∠5=__________ 15. Find m∠BCE in the figure to the right. 16. If m∠ABC=57°, find m∠CDA. 3 75o l 1 105o 4 5 2 m C
m∠ABC = 128°
m∠CED = 9 2°
E
B
A
D
B
D
A
C
5 17. In the figure below find the m∠AEB and the m∠EDC. C
m∠ECD = 6 2°
A
m∠EAB = 4 7°
E
m∠ABE = 7 1°
D
B
18. Find m∠IHJ in the figure below. m∠FGH = 7 6°
G
H
m∠IHJ=?
F
m∠GFI = 6 1°
J
I
m∠HIJ = 7 9°
19. In both figures below BD bisects ∠ABC. Find x and each of the indicated angles. x = __________ x = __________ m∠DCB=_________ m∠ABC=______ D B
7x m∠BCE=_________ m∠CBD=_______ 11x-16
E
m∠DCE=_________ m∠DBA=_______ C
6 20. In the triangle below find the value of x, m∠A, m∠B, and m∠C. x=__________ m∠A=__________ m∠B=__________ m∠C=__________ 21. Find the value of x in the figure below. Level 3 22. Find m∠CBD in the figure below. 7 23. Find the value of x in the figure below. 24. Find the m∠LNO in the figure below. P
m∠KPO = 6 8°
L
K
M
N
O
25. Find the value of x, m∠BTU, and m∠UVT in the figure below. x=__________ m∠BTU=__________ m∠UVT=__________ Level 4 26. Find the value of x , m∠D, m∠C, and m∠ABD. X=______________________ m∠D=_________________ m∠C=_________________ m∠ABD=______________ 8 27. How many degrees are there in each interior angle of 12-­‐sided polygon? 28. How many degrees are there in each interior angle of 5-­‐sided polygon? 29. Each interior angle of a regular polygon measures 135°. How many sides does the polygon have? 30. Each interior angle of a regular polygon measures 162°. How many sides does the polygon have? 31. Find m∠BCD in the figure below. D
B
m∠BCD=?
A
E
C
m∠ACD = 140°
m∠BCE = 143°
9 Level 5 32. Find the measure of all angles a-­‐f. m∠a=__________ m∠b=__________ m∠c=__________ m∠d=__________ m∠e=__________ m∠f=__________ 33. Find the measure of all angles 1-­‐15. m∠1=__________ m∠2=__________ m∠3=__________ m∠4=__________ m∠5=__________ m∠6=__________ m∠7=__________ m∠8=__________ m∠9=__________ m∠10=__________ m∠11=__________ m∠12=__________ m∠13=__________ m∠14=__________ m∠15=__________ 10 Mixed Review 20) 4x – 6 = 34
21) 3x + 4 = 46
46
7
a) –17
b) 7
a)
c) 36
d) 10
c) 14
22) 5x – 7 = 48
b) 16
d) 39
23) 5x – 7 = 4x + 8
24) 6x + 8 = 3x + 2
a) 15
b) 1
a)
d) – 6
c) – 2
c)
5
3
10
3
2
3
b)
c) – 24
d) 50
25)
x
+1 = 3
2
10
9
a) 5
b) 8
d) – 6
c) 4
d) 2
b)
51
5
a) 11
26) Jane has ridden 20 miles on her bicycle so far. She rides at an average rate of 10 miles per
hour. How many more hours will she have to ride to have gone a total of 55 miles?
a) 2 hours
b) 25 hours
c) 5.5 hours
d) 3.5 hours
27) One hundred-twenty-four truck trailers are intended to be shipped by rail, but four of the
trailers could not fit on the rail cars. There were eight railroad cars, each holding the same
number of trailers. How many trailers were on each car?
a) 31
b) 15
c) 16
d) 29 11