|,\q+h \b\z Fiv.q\ Qo,ie.^r / P-A c.-I""$[rJ\.,.n' \\onAo.1 , b"". \zTiw\e-: \\ o*l 2t*bJho., F \60bho\ {. k"ib, ppp"- S.nl ) + 2,o.rnd\.. .o\ o^\o\o.,
For*o{, $.*\tpl* .h.ic,e-' ;J ED '
Tc**\ poiu*=: too{.rJ[,.q{ i= c.cu.'.j, Cf.. \- C\". e , Ch 8, t^^J Ch q
, \( S.-+ions co{ereJ ivr .to*" on$
Veftical angles are congruent,
1. Find "x" .
mZt=9x-4m12=3x+14
Median joints a veltex to the midpoint of the opposite side.
2. Find Rg if BD is a median of AABC.
L:
Know how to determine the type of triangle'
3.Determinethetypeoftrianglerepresentedifthelengthsofitssidesareasfollows:
a) 4, 5,7
b) 6,7,8
c) 9, 12, 15
d) 3, 4,9
Sum of the measures of the angles in a triangle is 180
4. Find the value of "x".
5. In an isosceles trapezoid, the bases are 7A cm and 30 cm' What is the length of the median?
6. Find the value of t'x".
7. Find the Laterar Rrea, rotai-Area, and vorume of the cyrinder with radius 5 and altitude 6'
8. Find the slant height of the cone with the radius 3 and the altitude 6.
9. Find the area of a rhombus with diagonals 12 and 14'
10. Find the total area (surface area) and the volume of the rectangular prism below'
.u' .':'t//| -,1to'i i z
L----
-zta'^
10 cm
11. Find the slant height, and the volume of the pyramid below. /fi.,.._.....
/ , lt--u '.../ ,,\ -2
L---- -- ---"-io16
12. Find the area of the shades region.
13. Find the measure of /U.Find the sum of theinterior angles first!l
14. What is the measure of an interior angle of a hexagon?
15. Each interior angle of a regular polygon is 90. How many side does it have?
15. Suppose that the perimeter of a quadrilateral is 70 and the lengths of the sides are in ratio2:3:4:5. Find the measure of each side.
22
48
12y-30)' (11y-1s)'
17. Which postulate can be used to prove that AABE = ACBE?
18. ADEF is isosceles . tD is the veftex angle. The mZE = 2x + 40 and the mZF = 3x + 22.
Find the measures of each angle'
Know supplementary angles, complementary angles, vertical angles, consecutive
interior, aiternate exterior, alternate interior, corresponding.
19. Name each Pair of angles.a llb
a
b
1)
z)
It and t2tLand z4
3) z3and z7
4) t4 and /.5
5) ZL and 18
20. Find the apothem, perimeter and area of an equilateral triangle with sides of 18.
21. Find the value of x.
A
i'rx+t3i \.
, t,...
, allbi
i'"'. "'\rx + 331 '\ ...,
] "'.. \- u--a ro -u
22. Find the value of "x" in the circle below.
23. Find the value of "x" in the circle below.
Know how to find the sides of special right triangles (30-60-90) and (45-45'90) if one
of the sides is given.
24, Find the exact value of "x".
ib---.--.lL-----ri':-
Lx.
'i,\25. Find the exact value of "x".
26. Given PR = 8, PS = 4, find SQ.
27.The triangles below are similar. Find the value of "x".
\-/i=<\ i')-- i'--..
-]
i':-r[ '--..
trj --.11.
j '\r
- ,i)t-.24
28. Find the AE given DE = 6, BE = 14 and CE = 7.
Zg.In the figure below, pll m, mZZ = 74 and mZ7 = 104". Find the following angle measures.
1) mlt =
2) m/3 =
3) ml9 =
4) mzTA =
