NCERT Class 9 Mathematics Triangles Formative Assignments 2 Board Sample Problems (For CBSE, ICSE, IAS, NET, NRA 2022)

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Fill in the blanks Questions

Let ABC and POR are two triangles such that

a) Side AC is congruent to …

b) Angle A is congruent to Angle … .

c) Triangle ABC is … To Triangle ABC

d) Side … to equal to side OR

e) The sum of the angles of is equal to …

f) If , Then PQR is … to XYZ

g) If angle A is and angle B is then angle R is …

h) Angle P and Q in above cases would be … and …

Solution

a) PR

b) P

c) Congruence

d) BC

e)

f) Congruent

g)

h) and

True or False statement

2) True or False statement

a) A triangle can be constructed only when the sum of any two sides is greater than the third side

b) The median of the equilateral triangle are unequal

c) In the right angle triangle having sides 5,4, 3. The side having 5 is the hypotenuse

d) In a triangle, the greater angle has the larger side opposite to it

e) The sum of all the angles in a triangle is

f) If then

g) For an obtuse angled triangle, the circumcenter lies outside the triangle

h) AAA is the right condition for congruency

I) Each Angle of the equilateral triangle is

j) A triangle can have two right angles

k) A triangle can have all the angles greater than

L) A triangle cannot have all the angles less than

Solution

a) True

b) False

e) True

d) True

e) True

f) True

g) True

h) True

î) True

j) False

k) False

I) True

Multiple choice Questions

4) All of the sides of this triangle are equal. What kind of a triangle is this?

All of the Sides of this Triangle Are Equal

a) Scalene

B) Equilateral

C) Isosceles

d) Right triangle

Solution: (b)

5 Which are these are valid for two triangles to be congruent?

a) AAA

b) SSS

e) AAS

d) SSA

Solution: (b) and (c)

Crossword Puzzle

Crossword Puzzle
Match the List
ACROSSDOWN
1. A line Segment joining the corner of the triangle to the midpoint of the opposite side of the triangle.2. triangle whose all sides are equal
4. A line Segment from the corner of the triangle and perpendicular to the opposite side of the triangle.3. A triangle whose two sides are equal
5. Two triangle whose all sides are equal are called7. Point of intersection of the three median of the triangle is called the centroid of the triangle
6. Point of intersection of the three altitude of the triangle
8. The perpendicular bisector of the sides of the triangles passes through same point
9. All the angle bisector of the triangle passes through same point

Solution:

Match the List
OrthocenterPoint of intersection of the three altitude of the triangle
Equilateraltriangle whose all sides are equal
MedianA line Segment joining the corner of the triangle to the midpoint of the opposite side of the triangle
AltitudeA line Segment from the corner of the triangle and perpendicular to the opposite side of the triangle
IsoscelesA triangle whose two sides are equal
CongruentTwo triangle whose all sides are equal are called
CentroidPoint of intersection of the three median of the triangle is called the centroid of the triangle
In centerAll the angle bisector of the triangle passes through same point
CircumcenterA triangle whose two sides are equal