1. CCS
Mathematics
Class of G8
Exam
Name :…………………………………..
I.
II.
29 Jan. 2014
Duration : 2h
(2 points)
Answer by true or false and justify.
1) If
then
.
2)
.
3) Given the circles C(O; 6 cm) and C’(O’; 5 cm) if OO’= 1 cm then these circles are externally
tangent.
4) If ABCD is a parallelogram of center O and OA=OB, then
(3 points)
1) Write the scientific notation of:
2) Show that B is an integer number: B=
3) Show that C is a decimal number:
III.
(3 points)
ABCD is a quadrilateral such that:
AB=
;
;
and
Prove that ABCD is a parallelogram.
IV.
(3.5 points)
1) Let
and
a) Write
in the form
.
b) Verify that is an integer.
2) Compare:
a)
and
b)
and
V.
(3 points)
In the adjacent figure the radius of the circle (C ) is 3 cm.
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2. 1) Calculate the angles of the triangle ABC.
2) Calculate the length of the arc
.
3) Calculate the area of the circular sector
VI.
VII.
.
(1.5 points)
ABC is a triangle. I is the midpoint of [BC]. M is the symmetric of A with respect to I.
1) Construct the figure.
2) Prove that the quadrilateral ABMC is a parallelogram.
(3.5 points)
In the adjacent figure we have:
 ABCD is a square of center I.
 (AE) is a line passing through A and parallel to (BD).
1) What is the nature of the quadrilateral AEDB? Justify.
2) Compare AE and AC.
3) F is the symmetric of I with respect to D. What is the
nature of the quadrilateral AIFE? Justify.
GOOD WORK
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