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[4] Complete each of the following:
1] The angle is ……the union of two rays with the same starting
point………….
The Mathematics Department
Stage : 1st Prep
Date : /
/
Mid – Year
Practice Sheet
1st Term
2] The measure of the straight angle is …180°…… and the measure
of the zero angle is ………0°……..
[1] Write the type of the following angles:
1] 32° acute angle
2] 90°
right angle
3] 110°
obtuse angle
4] 180°
5] 250°
reflex angle
6] 192
1
°
2
1
° reflex angle
4
8] 159
3
°
8
7] 180
9] 330°
3] The measure of the right angle is ………90°……
straight angle
4] The acute angle is the angle whose measure is less than …90°..
and more than …0°….
reflex angle
5] The measure of the angle which is equivalent to two right angles
=…180°…. and it’s called …straight angle……
obtuse angle
reflex angle
6] If m ( A) = 70°, then m (reflex  A) = ……290°……..
7] The sum of two complementary angles equals …90……  while the
sum of two supplementary angles equals …180…… 
[2] Write the measure of the angles which complements the
following angles:
The angle
Complement
The angle
Complement
1
2] 60 °
45°
29° 30\
1] 45°
2
3
1
3] 25 °
64 °
1°
4] 89°
4
4
1
1
3
1
5] 53 °
36 °
6] 22 °
67
4
2
4
2
7] 90°
0°
8] zero
8] The two adjacent angles have common ……side…. and …vertex….
such that ……the two angles….. are in two different sides of the
common side.
9] The acute angle complements an …acute…. angle and
supplements an …obtuse…… angle.
10] The angle whose measure is 50 complements the angle of
measure …40…. and supplements the angle of measure …130… 
90°
[3] Write the measure of the angles which supplements the
following angles:
The angle
Supplement
The angle
Supplement
1
2] 92 °
153°
87° 30\
1] 27°
2
1
3
4] 41 °
38 °
28°
3] 152°
4
4
2
1
6] 10 °
67
0°
5] 180°
5
2
7] 0°
180°
8] 90°
11] The angle of measure ……37…  complements the angle of
measure 53° and supplements the angle of measure …127… 
12] The right angle complements a …zero…. angle and supplements a
…straight… angle.
13] The zero angle complements a …right…. angle and supplements
a …straight…… angle.
14] If the measure of the angle is equal to the measure of its
supplementary, then the measure of the angle is …right……..
90°
1
15] The sum of measures of accumulative angles at a point equals
……360°….
A
B
B
D
16] If two straight lines intersect, then every two opposite angles are
…equal in measure……..
C
80°
E
130°
105°
F
M
45°
A
17] If two adjacent angles are supplementary, then their outer sides
are ……on the same straight line……
C
D
011°
B
*
C
18] The two outer sides of two adjacent angles are perpendicular
then they are ……complementary……..
m(BEC) = …45…°
19] The sum of the measure of accumulative angles at a point is
………360°….
[7] Choose the correct answer:
1] The angle of measure 35 complements the angle of measure …………
i) 155
ii) 145
iii) 55
iv) 45
20] If AB ≡ CD , then AB = …CD…
4] The measure of a reflex angle is more than 180 and less then …………
i) 0
ii) 90
iii) 200
iv) 360
23] Two right-angled triangles are congruent if ……the
hypotenuse…. and ……a side….. in one triangle are congruent to
the corresponding parts in the other.
5] If the measure of an angle is equal to that of its supplementary, then
the measure of the angle is …………………
i) 45
ii) 90
iii) 180
iv) 360
24] Two triangles are congruent if the measures of two angles and
………the side drawn between their vertices of one triangle
are congruent to the corresponding parts of the other
triangle ……
6] If A complements B and A complements C , then B and C
are two ……………….. angles
i) complementary
ii) equal
iii) supplementary
iv) their sum is 360 .
[6] Find the measure of each of the following shapes:
D
E
E
D
A
43°
F
75°
135°
B
m(DAC) = …65…°
C
34°
58°
A
B
m(BAD) =……30…°
m(DBC) =…40…°
3] The angle of measure 38 supplements to an angle of measure …………
i) 140
ii) 138
iii) 52
iv) 142
22] The two triangles are congruent if two sides and …the included
angle… are congruent with their corresponding elements in the
other triangle.
D
m(Reflex BMC) = …225…°
2] A and B are two supplementary angles, A is an acute, then B is
……….
i) acute
ii) obtuse
iii) right
iv) straight
21] IfA ≡ B, then m(A) = …mB….
C
*
C
B
A
m(FBE) =…19…°
2
A
[7] In the opposite figure
AB = AC, AD bisect (CAB),
mDAC = 25°, mC = 30°
1] Prove that:  ABD ≡  ACD
2] Find m (  BAD)
C
FB bisects  AFC.
D
FD bisects CFE, m(AFB) = 35°.
Complete:
1) m(AFE) = …180…..°
B
 F
2) m(BFC) = ……35….°
3) m(AFC) = ……70…...°
E


Solution:
In ∆ ABD & ∆ ACD
1] AB  AC

2] mBAD  mCAD

3] AD is a comman
∆ ABD ≡ ∆ ACD
mBAD = mCAD = 25°
35°
A
4) m(DFE) = m(…CFD…..) = …(180° - 70°) ÷ 2 = 55…..°
[8] In the opposite figure:
B
C
m(AFB) = 30°, m(BFC) = 80°,
m(CFD) = 113° and m(DFE) = 90°
A
30°
80°
Find: m(AFE)
∵ mAFE + mAFB + mBFC + mCFD +
113° F ▄
∴ mAFE = 360° - (30° + 80° + 113° + 90°)
E
D
3] Find: the length of BC
Solution:
In ∆ ABC & ∆ ADC
1] mBAC  mDAC

2] mBCA  mDCA

3] AC is a comman
∆ ABC ≡ ∆ ADC
mB = mD = 100°
BC = 6 cm
= 47°
Y
A
6.5cm
70°
10cm
D
110°
X
C
4] The common side between the two polygons is … CD …….
**
25°
\\
B
5] m(BCX) =……360 – (110 + 110) = 140……
3
//
D
30°
B
C
1]
2]
[11] In the given figure:
AC bisects each of  DAB and  DCB ,
m(D) = 100° and DC = 6 cm
1] Prove that ∆ ABC ≡ ∆ADC
о
C
2] Find: m( B)
mDFE = 360°
[9] In the opposite figure:
If the figure ABCD ≡ the figure YXCD
Complete the following:
1] XY = …10……. cm
2] YD = ……6.5… cm
3] m( Y) = …70……°
A
[10] In the given figure:
D
6cm
100°
*
*
о
B
1]
2]
A
[12] In the opposite figure:
AB = DC and m (ABC) = m (DCB) = 90º.
Complete each of the following:
1] Prove that: ∆ ABC ≡ ∆ DCB
2] Write the result of congruency
A
\\
Solution:
In ∆ ABC & ∆ DCA
1] AB  AC


2] mABC  mDCB = 90

3] BC is a comman
∆ ABC ≡ ∆ DCB
mACB = mDBC
mA = mD
AC = DB
■B
C
\\
D
1]
A
25
/
[13] In the opposite figure:
B
75
BC
= {E}, m(B) = 75°, m(A) = 25°,
AD ∩
AE = ED , BE = EC
Find by steps:
m (D)
\\
E
/
\\
Solution:
D
In ∆ AEB & ∆ DEC
1] AE  DE

2] mBEA  mCEA V.O.A
3] BE  CE

■
C
∆ AEB ≡ ∆ DEC
mD = mA = 25°
4