FRANK Solutions for Class 9 Maths Chapter 16 - Similarity

Chapter 16 - Similarity Exercise Ex. 16.1

Question 1

The sides PQ and PR of thePQR 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 1

Question 2

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 2

Question 3

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 3

Question 4

In the given figure, PB is the bisector ofABC andABC =ACB. Prove that:

a. BC x AP = PC x AB

b. AB:AC = BP: BC

Solution 4

 

 

Question 5

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

Solution 5

 

Question 6

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Question 7

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Question 8

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Question 9

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Question 10

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Question 11

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Question 12

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Question 13

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Question 14

Solution 14

Question 15

Solution 15

Question 16

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Question 19

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Question 20

Solution 20

Question 21

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Question 22

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Question 23

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Question 24

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

InBC 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

In a triangle ABC, AB = 4 cm, BC = 4.5 cm and CA = 5 cm. ConstructABC. Find the image A'B'C of theABC 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 6

Question 7

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Question 8

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Question 9

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Question 10

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Question 11

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Question 12

Solution 12

Question 13

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Question 14

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Question 15

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Question 16

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Question 19

Solution 19

Question 20

Solution 20

Question 21

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Question 22

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Question 23

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Question 24

Solution 24