Chap-6 MCQs - AMU/JMI XI-Dip.Engg. Entrance Test

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Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
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Chapter -6 Class IX                   Answers         

1a. Two geometrical figures are said to be congruent if they have same 
a)      Shape

b)      Size

c)      Length

d)     Both shape and size

2a. Choose the correct option

a)      Two circles with same radii are congruent to each other

b)      Two square of same side are congruent to each other

c)      Two equilateral triangles with same sides are congruent to each other

d)     All of the above

3a. Which of the following is correct statement?

a)      Two circles are always congruent to each other

b)      Two square are always congruent to each other

c)      Two equilateral triangles are always congruent to each other

d)     None of the above is correct.

4a. If Δ PQR ≅ Δ ABC then

a)      ∠P = C , ∠Q = ∠B  and  ∠R = ∠A

b)      ∠P = ∠B , ∠Q = ∠A  and  ∠R = ∠C

c)      PQ = AB , QR = BC and PR = AC

d)     PQ = BC , QR = AB and PR = AC

5a. Choose correct option for two triangles shown in figure below.

a)      ΔABC ≅ ΔPQR

b)      ΔABC ≅ ΔQRP

c)      ΔABC ≅ ΔQPR

d)     ΔABC ≅ ΔPRQ

6a. Choose correct option

a)      Two triangles are congruent if the sides of one triangle are equal to the sides of the other triangle.

b)      Two triangles are congruent if the angles of one triangle are equal to the angles of the other triangle.

c)      Two triangles are congruent if one side and one angle of one triangle are equal to one side and one angle of the other triangle.

d)     Two triangles are congruent if two sides of one triangle are equal to two sides of the other triangle.

7a. If two sides and the included angle of one triangle are equal to the sides and the included angle of the other triangle. The triangles are congruent by

a)      SSA congruence rule

b)      SAS congruence rule

c)      SSS congruence rule

d)     AAS congruence rule

8a. Which of the following congruency rule does not exist?

a)      SAS Congruence rule

b)      AAS Congruence Rule

c)      SSA Congruence Rule

d)     ASA Congruence rule

9a. in fig below

a)      AP = BP and AQ = BQ, then

b)      PQ bisect AB at R

c)      Both a and b

d)     None

10a.  In fig. given below, Line-segment AB is parallel to another line-segment CD. O is the mid-point of AD.

a)      ΔAOB ≅ ΔDOC

b)      ΔAOB ≅ ΔCOD

c)      ΔAOB ≅ ΔOCD

d)     ΔAOB ≅ ΔDCO

11a. In quadrilateral ACBD, AC = AD and AB bisects ∠A.

a)      Δ BAC ≅ Δ BAD

b)      Δ ABC ≅ Δ BAD

c)      Δ CAB ≅ Δ BAD

d)     Δ BCA ≅ Δ BAD

12a. AD and BC are equal perpendiculars to a line

segment AB (see Fig. below).

a)      CD bisects AB.

b)      AB bisects CD.

c)      Both a and b

d)     None

13a. Choose correct option

In ΔABC, AB > AC if 

a)     ∠B >  ∠A

b)    ∠A >  ∠B

c)     ∠B >  ∠C

d)    ∠C >  ∠B

14a. In Δ ABC, AD is the perpendicular bisector of BC and AB = BC, then Δ ABC is

a)     an isosceles triangle

b)    an equilateral triangle

c)     a right angled triangle

d)    scalene triangle

15a. ΔABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. Then ∠ BCD is

a)     an acute angle

b)    a right angle

c)     Obtuse angle

d)    reflex angle

16a. ABC is a right angled triangle in which ∠ A = 90° and AB = AC. Find ∠ B.

a)     30°

b)    45°

c)     60°

d)    75°

17a. Which is correct for the two triangles shown in figure below?

a)     Δ BCA ≅Δ RPQ

b)    Δ ABC ≅Δ QRP

c)     Δ BCA ≅Δ RPQ

d)    All of the above

18a. AD is an altitude of an isosceles triangle ABC in which AB = AC. Then

a)     AD bisects BC

b)    AD bisects ∠ A

c)     Both a & b

d)    None of the above

19a. Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of Δ PQR .then

a)     Δ ABM ≅ Δ PQN

b)    Δ AMC ≅ Δ PNR

c)     Δ ABC ≅ Δ PQR

d)    All of the above

20a. BE and CF are two equal altitudes of a triangle ABC. Then, the triangle ABC is

a)     Isosceles

b)    Equilateral

c)     Scalene

d)    None

21a. Choose the incorrect option

In a triangle

a)     The sides opposite to equal angles are equal.

b)    The angle opposite to the longer side is larger.

c)     The side opposite to the smaller angle is longer.

d)    The side opposite to the larger angle is longer.

22a. Which is the longest side in a right angled triangle?

a)     Base

b)    Altitude

c)     Hypotenuse

d)    None

23a. in a right angled triangle?

a)     Base + Altitude > Hypotenuse

b)    Base² + Altitude² = Hypotenuse²

c)     Altitude < Base + Hypotenuse

d)    All of the above

24a. Choose the correct option for figure below

a)     ∠ABC < ∠ACB

b)    AB > AC

c)     Both a & B

d)    None

 25a. In Δ ABC & Δ PQR, AB = PQ, BC = PR and AC = QR, then

a)     Δ ABC ≅ Δ PQR

b)    Δ ABC ≅ Δ QPR

c)     Δ ABC ≅ Δ RQP

d)    Δ ABC ≅ Δ QRP

Chapter 6 : Triangles              Answers
We are also conducting class room program for the preparation of AMU/JMI XI/Dip.Engg. Entrance Test-2018

1. Similar figures must have

a)      Same size

b)      Same shape

c)      Same size and same shape

d)     None of the above

2. Which of the following is a pair of similar figures?

a)      Two circles

b)      Two squares

c)      Two equilateral triangles

d)     All of the above

3. Chose the correct option for two statements P & Q

P: All similar figures are congruent

Q: All congruent figures are similar

a)      a is correct & b is incorrect

b)      a is incorrect & b is correct

c)      Both a & b are correct

d)     Both a & b are incorrect

4. Choose the incorrect option

a)      A circle and a square can never be similar.

b)      A triangle and a square can never be similar.

c)      A circle and a triangle can never be similar

d)     A circle & a square would be similar if side of the square is equal to the diameter of the circle.

5. Photographs of a building taking at different angles are

a)      Congruent

b)      Similar

c)      Both similar and congruent

d)     Not similar

6. Photocopy of same photograph of different sizes are 

a)      Congruent

b)      Similar

c)      Both similar and congruent

d)     Not similar

7. A photograph of a ladder inclined to the wall is taken and its printout is taken in two different sizes. Then

a)      Inclination of ladder in small photograph is equal to the inclination of ladder in larger photograph

b)      Inclination of ladder in small photograph is larger than the inclination of ladder in larger photograph

c)      Inclination of ladder in larger photograph is larger than the inclination of ladder in smaller photograph

d)     None

8. Two polygons of 5 sides and 6 sides are similar if 

a)      their corresponding angles are equal

b)      their corresponding sides are in the same ratio

c)      their corresponding sides are equal

d)     None

9. The condition for two polygons to be similar is/are

a)      They should have same number of sides.

b)      Their corresponding angles should be equal.

c)      Their corresponding should be in same proportion.

d)     All of the above

10. Corresponding sides of two quadrilaterals are in the same ratio but their corresponding angles are not equal. The two quadrilaterals are 

a)      Similar

b)      Congruent

c)      Both similar and congruent

d)     Non-Similar

11. Corresponding angles of two quadrilaterals are equal but their corresponding sides are not in proportion. The two quadrilaterals are 

a)      Similar

b)      Congruent

c)      Both similar and congruent

d)     Non-Similar

12. Two triangles are similar, if

a)      their corresponding angles are equal

b)      their corresponding sides are in the same ratio (or proportion).

c)      Both a & b

d)     None

13. If corresponding angles of two triangles are equal, then they are known as

a)      Equal triangles

b)      Equiangular triangles

c)      Congruent triangles

d)     All of the above

14. The ratio of any two corresponding sides in two equiangular triangles is

a)      always the same.

b)      always equal = 1

c)      always <  1

d)     always >  1

15. Basic Proportionality Theorem is also known as

a)      Pythagoras theorem

b)      Thales Theorem

c)      Euclid's theorem

d)     None

16. In the given figure, if DE // BC then  is according to

a)      Pythagoras theorem

b)      Thales Theorem

c)      Euclid's theorem

d)     None

17. In figure below, DE//BC then

a) AD/DB=AE/EC

b) AB/DB=AC/EC
c) AB/AD=AC/AE
d) All of the above

18. in figure below, AC = 9cm, AB = 10cm and AD = 6cm. find BE.

a)      3.00

b)      3.33

c)      4.00

d)     4.33

19. Find x in figure below

a)      1.5

b)      2.0

c)      2.5

d)     3.0

20. in figure below, ABCD is trapezium with AB//DC and the diagonal intersect at point O, then

a)      AO x DO =BO x CO

b)      AO x CO =BO x DO

c)      AO x BO =CO x DO

d)     All of the above

21. IF the diagonals of a quadrilateral ABCD intersect each other at the point O such that

, then ABCD is a

a)      Trapezium

b)      Parallelogram

c)      Rhombus

d)     Square

22. If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are

a)      Equal

b)      Congruent

c)      Similar

d)     All of the above

23. In figure below, QR = ?

a)      a

b)      1.1a

c)      1.2a

d)     1.5a

24. Choose the correct option fo the figure given below

a)      ΔAOB ~ ΔCOD

b)      ΔAOB ~ ΔDOC

c)      ΔAOB ~ ΔOCD

d)     ΔAOB ~ ΔODC)

25. A person of height 150cm is standing 2m away from the lamp-post. Find the shadow of the person if the height of the lamp is 3m from the ground.

a)      1.5m

b)      2.0m

c)      2.5m

d)     3.0m
 Answers      
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Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15

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