Download Mathematics department 2015 -2016 1st Prep Time: 2 hours [1] a

If AB
‫محافظة القاهرة‬
‫إدارة القاهرة الجديدة‬
[1] a) Choose the correct answer:
1] The obtuse angle supplements ………… angle
i) acute
ii) obtuse
iii) right
FA = FB and m (B) = 125°, then
A
Find: m (A)
(Show the reason)
/
F
125°B
A
B

B
A
E
[4] a) In the opposite figure:
CB // AD // EH , mE = 115°,
mBAD = 45°
Find: mB & mC and mCAB
(Show the reason)
A
>
45°
F
2] Two triangles are congruent if two angles and ……………………………….
are congruent to the corresponding parts of the other triangle
3] If mA = 150º, then m(reflex A) = ………
4] If a straight line intersects two parallel straight lines, then every
two interior angles in the same side of the transversal are ………..
L
x
E
<
AB//CD//EF & CD bisects ACE
Find with: mACD and mE
(Show the reason)
D
C
D
>
A
130°
>
B
D
[5] a) In the opposite figure:
If AB CE = {M}, MD  CE and MB
bisects DME find:
m(BME) , m(DME) , m(AMC) and
m(AME)
D
B
C
b) In the opposite figure:
H
>
115°
B
M
/
D
[2] a) Complete each of the following:
1] The sum of the measure of the accumulative angles at a point =
……….º
110°
110°
C
\
3x
4] If ∆ ABC ≡ ∆ XYZ and mA + mB = 130º, then mZ = ……º
i) 40
ii) 50
iii) 60
iv) 80
A

120º
30°
//
6x
C
3] If X complements Y and X ≡ Y, then mX = ……..
i) 90°
ii) 45°
iii) 70°
iv) 180°
5] In the opposite figure:
L // M
x = ………..
/
\\
D
D
C
\\
b) In the opposite figure:
If AB = AD, CB = CD m BAC = 30°
m ACB = 110°.
(1) Show that ∆ ABC ≡ ∆ ADC
(2) Find m D
iv) reflex
2] In the opposite figure:
If AB CD = {C}, then x = …….º
i) 120
ii) 90
iii) 60
iv) 20
5] In the opposite figure:
CD = {F}, FC = FD,
//
Year Exam
Geometry
If AB//CD , then mC = …….º
i) 30
ii) 180
iii) 60
iv) 100
C
[3] a) ) In the opposite figure:
Mathematics department
2015 -2016
1st Prep
Time: 2 hours
Mid
C
● 90°
● M
B
A
E
b) Using the geometric instruments, draw an angle of measure 120°,
then bisect it.
(Don’t remove the arcs)