Chapter 16 : Similarity - Frank Solutions for Class 9 Maths ICSE

Mathematics in ICSE Class 9 is one of the most challenging and trickiest subjects of all. It includes complex topics such as logarithms, expansions, indices and Pythagoras Theorem which are difficult to understand for an average student. TopperLearning provides study materials for ICSE Class 9 Mathematics to make the subject easy and help students to clear all their concepts. Our study materials comprise numerous video lessons, question banks, revision notes and sample papers which help achieve success in the examination.

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Chapter 16 - Similarity Exercise Ex. 16.1

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8

The sides PQ and PR of the PQR are produced to S and T respectively. ST is drawn parallel to QR and PQ: PS = 3:4. If PT = 9.6 cm, find PR. If 'p' be the length of the perpendicular from P to QR, find the length of the perpendicular from P to ST in terms of 'p'.

Solution 8

 

 

Question 9
Solution 9
Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12

Question 13

Solution 13

Question 14

Solution 14

Question 15

Solution 15

Question 16

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Question 19

Solution 19

Question 20

Solution 20

Question 21

In a quadrilateral PQRS, the diagonals PR and QS intersect each other at the point T. If PT:TR = QT :TS = 1:2, show that

 PTQ - DRTS

Solution 21

Question 22

In a quadrilateral PQRS, the diagonals PR and QS intersect each other at the point T. If PT:TR = QT :TS = 1:2, show that

TP:TQ = TR:TS

Solution 22

Question 23

In the given figure, PB is the bisector of ABC and ABC = ACB. Prove that:

a. BC x AP = PC x AB

b. AB:AC = BP: BC

 

Solution 23

  

  

Question 24

In a right-angled triangle ABC, B = 90°, P and Q are the points on the sides AB and AC such as PQ BC, AB = 8 cm, AQ = 6 cm and PA:AB = 1:3. Find the lengths of AC and BC.

Solution 24

  

Chapter 16 - Similarity Exercise Ex. 16.2

Question 1

Given that  name the corresponding angles and the corresponding sides.

Solution 1

Question 2

In BC such that AD =1.5 cm, DB = 3 cm and AE = 1 cm. Find AC.

Solution 2

  

Question 3

Given is a triangle with sides 3 cm, 5 cm and 6 cm. Find the sides of a triangle which is similar to the given triangle and its shortest side is 4.5 cm.

Solution 3

Question 4

Two figures are similar. If the ratio of their perimeters is 8:16. What will be the ratio of the corresponding sides?

Solution 4

Question 5

Harmeet is 6 feet tall and casts a shadow of 3 feet long. What is the height of a nearby pole if it casts a shadow of 12 feet long at the same time?

Solution 5

Question 6

Solution 6

Question 7

Solution 7

Question 8

Solution 8

Question 9

Solution 9

Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12

Question 13

Solution 13

Question 14

Solution 14

Question 15

Solution 15

Question 16

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Question 19

Solution 19

Question 20

Solution 20

Question 21

Solution 21

Question 22

Solution 22

Question 23

Solution 23

Question 24

In a triangle ABC, AB = 4 cm, BC = 4.5 cm and CA = 5 cm. Construct ABC. Find the image A'B'C of the ABC obtained by enlarging it by a scale factor 2. Measure the sides of the image A'B'C' and show that

AB:A'B' = AC:B'C' = CA:C'A'

Solution 24

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