Download Model Exam (1) Geo.for the Mid Term Exam Question [1] Complete

Port Said International Schools – National Section
Model Exam Geo.1
Better education for future generations
Name :____________________________________________
Date :
Grade:8
Model Exam (1) Geo.for the Mid Term Exam
Question [1] Complete each of the following:
[5 marks]
(1)If the median drawn from a vertex of a triangle equals half the opposite side
to this vertex , then …………………………
(2) If two angles of a triangle are congruent, then the two sides opposite to these two angles
are ……………. and the triangle is ………………...
(3) If the triangle is equilateral, then it’s equiangular where each angle measures …………o
(4)If the measure of an angle in a right angle triangle is 450 , then the triangle is
………………….
(5)The medians of any triangle are ………………………….
Question [2] Choose the correct answer: [5 marks]
(1) From the opposite figure: m(  A) = ………o
a) 250
b) 400
c) 500
d) 600
(2) The point of concurrence of the medians of the triangle divides each median
in the ratio ……………………..from its vertex
a) 1:2
b) 2:1
c) 1:3
d) 3:1
(3) If  ABC is right angled triangle at B , AB = 6 cm and BC = 8 cm , then the length
of the median drawn from B is …………….. cm
a) 10
b) 8
c) 6
d) 5
(4) In the opposite figure:
ME = 3cm
Then AE = ……… cm
a) 6
b) 3
c) 9
d) 12
(5)If the measure of an angle in the isosceles triangle
is 1000 , then the measure of an angle of the other two = ….
a) 1000
b) 400
c) 800
d) 1200
Question [3]
1) In the figure opposite:
ABC is a right angled triangle at B
M(  C ) = 300
D  AC where DB = DC
Prove that :  ABD is an equilateral triangle.
Math Department
Page 1 of 2
2) In the opposite figure:
ABC is a right-angled triangle at B, m(  ACB) = 30o , AB = 5cm.
Point E is a mid point of AC.
If DE = 5cm, then prove that:
1. m(  ADC) = 90o
2. Find the length of BE.
Question [4]
1) In the figure opposite:
AB = AD , BC = CD
Prove that:  ABC   ADC
2) In the opposite figure:
ABC is equilateral triangle, D  BC such that BC = CD.
Prove that: AB  AD.
Math Department
Page 2 of 2