7th Grade > Mathematics
PRACTICAL GEOMETRY MCQs
Total Questions : 105
| Page 1 of 11 pages
Question 1. A man runs in the east direction and suddenly changes his direction towards the north. After running for some time, he comes back to his original position. Given that the man's path of running is a triangle and one of its angles is 90 degrees, find the sum of the other two angles. [3 MARKS]  Â
Question 2. (a) For constructing a triangle, we must know two sides and included angle. Which triangle can be uniquely constructed by knowing two sides and any other angle?
(b) Which of the following congruency conditions is preferred to draw a triangle exactly congruent to a right-angled triangle? [2 MARKS]
(b) Which of the following congruency conditions is preferred to draw a triangle exactly congruent to a right-angled triangle? [2 MARKS]
:
Each part: 1 Mark
(a) We only need to know R (Right angle), H (Hypotenuse) and S (Side)to construct a right-angled triangle. The right angle is not included between the hypotenuse and the other side.
(b)If the hypotenuse and any one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
It means that if we have two right-angled triangles with thesame length of the hypotenuseand thesame length for one of the other two legs, then both right triangles are identical.
:
Angle: 0.5 Mark
Type: 0.5 Mark
The angle between the two handsis 90 degrees.
It is an isosceles right-angled triangle.
:
The minimum number of triangles that can be drawn if two sides and one angle has been given is 0 since the angle might not be an included one.
:
As stated in question line segment BD is angle bisector so, ∠ABD=∠DBC
And, ∠ABD+∠DBC=∠ABC
So,∠(ABC)=2∠(ABD)
:
As stated in question line segment BD is angle bisector so, ABD=DBC.
So, ∠ABC=4∠ABE
Answer: Option A. -> ∠1 = ∠8
:
A
When two lines intersect each other, four angles are formed. The pair of angles which lie on the opposite sides of the point of intersection are called vertically opposite angle.If two parallel lines are cutby a transversal:
(i) Alternate interior angles are equal i.e., ∠2 =∠8 and ∠3 = ∠5.
(ii) Alternate exterior angles are equal i.e., ∠1 = ∠7 and ∠4 = ∠6.
(iii) Corresponding angles are equal i.e., ∠1 = ∠5, ∠4 = ∠8, ∠2 = ∠6 and ∠3 = ∠7.
(iv) Co-interior angles are supplementary i.e., ∠2 + ∠5 = 180∘ and ∠3 + ∠8 =180∘
∠1 = ∠8 is incorrect.
:
A
When two lines intersect each other, four angles are formed. The pair of angles which lie on the opposite sides of the point of intersection are called vertically opposite angle.If two parallel lines are cutby a transversal:
(i) Alternate interior angles are equal i.e., ∠2 =∠8 and ∠3 = ∠5.
(ii) Alternate exterior angles are equal i.e., ∠1 = ∠7 and ∠4 = ∠6.
(iii) Corresponding angles are equal i.e., ∠1 = ∠5, ∠4 = ∠8, ∠2 = ∠6 and ∠3 = ∠7.
(iv) Co-interior angles are supplementary i.e., ∠2 + ∠5 = 180∘ and ∠3 + ∠8 =180∘
∠1 = ∠8 is incorrect.