- What is Congruence
- |
- Triangle Congruence
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- Properties of Congurent trianngles
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- Different Criterion for Congruence of the triangles
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- How to Prove the congurence of Two Triangle
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- Inequality of Triangle
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- Important defination for Triangles
- |
- Solved Examples

Given below are the **Class 9 Maths** Important Questions for triangle congruence

b) Calculation problems

c) Multiple choice questions

d) Long answer questions

e) Fill in the blank's

f)Subjective Questions

Which cases the triangles will be congruent? Write down the congruence equation

- AB =PQ , BC=QR and AC=PR
- BC=QR , ∠B=∠Q ,∠C=∠R
- AB=PQ, BC=QR, ∠C=∠P
- AB=PQ, BC=QR, ∠B=∠Q
- AB=PQ ,∠A=∠P,∠C=∠R
- AB =PQ , BC=QR
- ∠B=∠Q ,∠C=∠R
- ∠A=∠P,∠B=∠Q ,∠C=∠R
- AB=PR , ∠A=∠P,∠B=∠R

Solutions

a) We cannot construct a triangle of side 9,5,4 cm

b) In a Right angle triangle,hyponotuse is the longest side c) centroid is the point of intersection of the median of the triangles

d) A triangle can have two obtuse angles

e) Orthocenter is the point of intersection of altitudes

f) if ABC≅PQR then AC=PQ

g) if a triangle ABC such that AB > BC , Then ∠C> ∠A

h) Mid point of the hypotenuse of right angled triangle is circumcenter

Solutions

a) AB

b) BC

c) AC

Solutions

5. In triangle ABC , AB=AC and D is the point inside triangle such that BD=DC as shown in figure

Which of the following is true

a) ΔABD≅ΔACD

b) ∠ABD=∠ACD

c) ∠DAC=∠DAB

d) All the above

Solutions

6) An exterior angle of the triangle is 110

What are the other two angles

a) 60

b) 55

c) 70

d) None of the above

Solutions

7) AD is the median of the triangle . Which of the following is true?

a) AB+BC+AC > 2AD

b) AB +BC > AC

c) AB+BC+AC> AD

d) none of these

Solutions

8)

In the above figure AB || CD ,O is the mid point BC. Which of the following is true

a) ΔAOB≅ΔDOC

b) O is the mid point of AD

c) AB=CD

d) All the above

Solutions

9) In an isosceles triangle ΔABC with AB = AC. D is mid point on BC.

Which of the following is true

a) Orthocenter lies on line AD

b) AD is the perpendicular bisector BC

c) Centroid lies on the line AD

d) AD is the bisector of angle A

Solutions

10) PQR is a right angle triangle in with P=90

a) 45

b) 30

c) 20

Solutions

11)

In the above quadrilateral ACBD, we have AC=AD and AB bisect the ∠A

Which of the following is true

a) ΔABC≅ΔABD

b) BC=BD

c) ∠C=∠D

d) None of the above

Solutions

Column A | Column B |

Point of intersection of altitude | Circumcenter |

Point of intersection of Median | Incenter |

Point of intersection of angle bisector | Orthocenter |

Point of intersection of perpendicular bisector of sides | Centroid |

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