# NCERT Class 9 Mathematics Triangles Formative Assignments 2 Board Sample Problems (For CBSE, ICSE, IAS, NET, NRA 2023)

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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?

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**

ACROSS | DOWN |

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 called | 7. 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:

Orthocenter | Point of intersection of the three altitude of the triangle |

Equilateral | triangle whose all sides are equal |

Median | A line Segment joining the corner of the triangle to the midpoint of the opposite side of the triangle |

Altitude | A line Segment from the corner of the triangle and perpendicular to the opposite side of the triangle |

Isosceles | A triangle whose two sides are equal |

Congruent | Two triangle whose all sides are equal are called |

Centroid | Point of intersection of the three median of the triangle is called the centroid of the triangle |

In center | All the angle bisector of the triangle passes through same point |

Circumcenter | A triangle whose two sides are equal |