# Triangle congruence worksheet

Given below are the Class 9 Maths Important Questions for triangle congruence
a) Concepts questions
b) Calculation problems
c) Multiple choice questions
e) Fill in the blank's
f)Subjective Questions

## Subjective Questions

1. Let ABC and PQR are two triangles.
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

## True or False statement

2) True or False statement
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

## Multiple choice Questions

4) In a triangle ABC , ∠A=60 ∠B=40, which side is the longest
a) AB
b) BC
c) AC

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

6) An exterior angle of the triangle is 1100 , One of the opposite interior angle is 500
What are the other two angles
a) 600,700
b) 550,550
c) 700,500
d) None of the above

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

b) AB +BC > AC
d) none of these

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

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

10) PQR is a right angle triangle in with P=900 and PQ=PR . What is the value of Q and R
a) 450,450
b) 300,600
c) 200,600

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

## Match the column

 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