FRANK Solutions for Class 9 Maths Chapter 16 - Similarity

Revise the AA criterion for Similarity and the Basic Theorem of Proportionality with TopperLearning’s Frank solutions for ICSE Class 9 Mathematics Chapter 16 Similarity. Practising the solutions will help you grasp simple applications of various conditions of Similarity. Similarity-based problems won’t intimidate you if you put in efforts to learn and review the step-wise textbook solutions provided by our experts.

The Frank solutions for ICSE Class 9 Maths also shows you how to calculate the area of a triangle or a quadrilateral using the Pythagoras theorem. Revise Maths concepts from Chapter 16 with these solutions and other e-learning materials like online practice tests, video lessons, etc.

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Chapter 16 - Similarity Exercise Ex. 16.1

Question 1
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Solution 1
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Question 2
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Solution 2
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Question 3
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Solution 3
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Question 4
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Solution 4
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Question 5
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Solution 5
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Question 6
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Solution 6
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Question 7
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Solution 7
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Question 8

The sides PQ and PR of theFrank Solutions Icse Class 9 Mathematics Chapter - SimilarityPQR 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

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

 

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

 

Question 9
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Solution 9
Frank Solutions Icse Class 9 Mathematics Chapter - Similarity
Question 10

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 10

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 11

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 11

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 12

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 12

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 13

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 13

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 14

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 14

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 15

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 15

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 16

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 16

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 17

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 17

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 18

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 18

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 19

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 19

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 20

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 20

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 21(a)

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

Frank Solutions Icse Class 9 Mathematics Chapter - SimilarityPTQ - DRTS

Solution 21(a)

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 21(b)

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 21(b)

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 22(a)

In the given figure, PB is the bisector ofFrank Solutions Icse Class 9 Mathematics Chapter - SimilarityABC andFrank Solutions Icse Class 9 Mathematics Chapter - SimilarityABC =Frank Solutions Icse Class 9 Mathematics Chapter - SimilarityACB. Prove that:

a. BC x AP = PC x AB

b. AB:AC = BP: BC

 

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 22(a)

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity 

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity 

Question 23

In a right-angled triangle ABC,Frank Solutions Icse Class 9 Mathematics Chapter - SimilarityB = 90°, P and Q are the points on the sides AB and AC such as PQFrank Solutions Icse Class 9 Mathematics Chapter - SimilarityBC, AB = 8 cm, AQ = 6 cm and PA:AB = 1:3. Find the lengths of AC and BC.

Solution 23

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity 

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Chapter 16 - Similarity Exercise Ex. 16.2

Question 1

Given that Frank Solutions Icse Class 9 Mathematics Chapter - Similarityname the corresponding angles and the corresponding sides.

Solution 1

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 2

InFrank Solutions Icse Class 9 Mathematics Chapter - SimilarityBC such that AD =1.5 cm, DB = 3 cm and AE = 1 cm. Find AC.

Solution 2

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity 

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

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

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

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

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

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

Frank Solutions Icse Class 9 Mathematics Chapter - SimilarityFrank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 6

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 6

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 7

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 7

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 8

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 8

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 9

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 9

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 10

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 10

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 11

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 11

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 12

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 12

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 13

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 13

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 14

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 14

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 15

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 15

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 16

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 16

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 17

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 17

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 18

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 18

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 19

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 19

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 20

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 20

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 21

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 21

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 22

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 22

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 23

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Solution 23

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Question 24

In a triangle ABC, AB = 4 cm, BC = 4.5 cm and CA = 5 cm. ConstructFrank Solutions Icse Class 9 Mathematics Chapter - SimilarityABC. Find the image A'B'C of theFrank Solutions Icse Class 9 Mathematics Chapter - SimilarityABC 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

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity

Frank Solutions Icse Class 9 Mathematics Chapter - Similarity