• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer
  • RBSE Model Papers
    • RBSE Class 12th Board Model Papers 2022
    • RBSE Class 10th Board Model Papers 2022
    • RBSE Class 8th Board Model Papers 2022
    • RBSE Class 5th Board Model Papers 2022
  • RBSE Books
  • RBSE Solutions for Class 10
    • RBSE Solutions for Class 10 Maths
    • RBSE Solutions for Class 10 Science
    • RBSE Solutions for Class 10 Social Science
    • RBSE Solutions for Class 10 English First Flight & Footprints without Feet
    • RBSE Solutions for Class 10 Hindi
    • RBSE Solutions for Class 10 Sanskrit
    • RBSE Solutions for Class 10 Rajasthan Adhyayan
    • RBSE Solutions for Class 10 Physical Education
  • RBSE Solutions for Class 9
    • RBSE Solutions for Class 9 Maths
    • RBSE Solutions for Class 9 Science
    • RBSE Solutions for Class 9 Social Science
    • RBSE Solutions for Class 9 English
    • RBSE Solutions for Class 9 Hindi
    • RBSE Solutions for Class 9 Sanskrit
    • RBSE Solutions for Class 9 Rajasthan Adhyayan
    • RBSE Solutions for Class 9 Physical Education
    • RBSE Solutions for Class 9 Information Technology
  • RBSE Solutions for Class 8
    • RBSE Solutions for Class 8 Maths
    • RBSE Solutions for Class 8 Science
    • RBSE Solutions for Class 8 Social Science
    • RBSE Solutions for Class 8 English
    • RBSE Solutions for Class 8 Hindi
    • RBSE Solutions for Class 8 Sanskrit
    • RBSE Solutions

RBSE Solutions

Rajasthan Board Textbook Solutions for Class 5, 6, 7, 8, 9, 10, 11 and 12

  • RBSE Solutions for Class 7
    • RBSE Solutions for Class 7 Maths
    • RBSE Solutions for Class 7 Science
    • RBSE Solutions for Class 7 Social Science
    • RBSE Solutions for Class 7 English
    • RBSE Solutions for Class 7 Hindi
    • RBSE Solutions for Class 7 Sanskrit
  • RBSE Solutions for Class 6
    • RBSE Solutions for Class 6 Maths
    • RBSE Solutions for Class 6 Science
    • RBSE Solutions for Class 6 Social Science
    • RBSE Solutions for Class 6 English
    • RBSE Solutions for Class 6 Hindi
    • RBSE Solutions for Class 6 Sanskrit
  • RBSE Solutions for Class 5
    • RBSE Solutions for Class 5 Maths
    • RBSE Solutions for Class 5 Environmental Studies
    • RBSE Solutions for Class 5 English
    • RBSE Solutions for Class 5 Hindi
  • RBSE Solutions Class 12
    • RBSE Solutions for Class 12 Maths
    • RBSE Solutions for Class 12 Physics
    • RBSE Solutions for Class 12 Chemistry
    • RBSE Solutions for Class 12 Biology
    • RBSE Solutions for Class 12 English
    • RBSE Solutions for Class 12 Hindi
    • RBSE Solutions for Class 12 Sanskrit
  • RBSE Class 11

RBSE Solutions for Class 7 Maths Chapter 9 Congruence of Triangles Additional Questions

March 26, 2019 by Fazal Leave a Comment

RBSE Solutions for Class 7 Maths Chapter 9 Congruence of Triangles Additional Questions is part of RBSE Solutions for Class 7 Maths. Here we have given Rajasthan Board RBSE Class 7 Maths Chapter 9 Congruence of Triangles Additional Questions.

Board RBSE
Textbook SIERT, Rajasthan
Class Class 7
Subject Maths
Chapter Chapter 9
Chapter Name Congruence of Triangles
Exercise Additional Questions
Number of Questions 18
Category RBSE Solutions

Rajasthan Board RBSE Class 7 Maths Chapter 9 Congruence of Triangles Additional Questions

Multiple Choice Questions

Question 1
One of the angle in two congruent angles is 110° then (RBSESolutions.com) the measure of another angle will be:
(A) 70°
(B) 80°
(C) 110°
(D) 100°

Question 2
In figure what will be the value of ∠X where XY = XZ md ∠Y = 50°.
RBSE Solutions for Class 7 Maths Chapter 9 Congruence of Triangles Additional Questions
(A) 80°
(B) 40°
(C) 50°
(D) 90°

RBSE Solutions

Question 3
In R.H.S, condition (RBSESolutions.com) of congruency rules :
(A) Two acute angle triangle
(B) Two right angled triangle
(C) Two obtues angle triangle
(D) Two reflex angle triangle

Question 4
General congruency condition is not satisfied in :
(A) R.H.S.
(B) A.S.A.
(C) S.A.S.
(D)A,A.A.

Question 5
Two circles will be (RBSESolutions.com) congruent if:
(A) radii are equal
(B) centre are equal
(C) chords are equal
(D) are concentric circles

Question 6
Corresponding parts of congurent triangles are :
(A) unequal
(B) congruent
(C) 0
(D) 4

Question 7
Such figures which covers (RBSESolutions.com) completely to each other are called :
(A) symmatric
(B) unsymmatric
(C) congruent
(D)none of these

Question 8
The sign of congruency is :
(A) ≡
(B) ≅
(C) ≈
(D) ∆
Answers:
1. (C), 2. (A), 3. (B), 4. (D), 5. (A), 6. (B), 7. (C), 8. (B).

RBSE Solutions

Fill in the blanks :
(i) Those figures which are (RBSESolutions.com) equal in shape and ………….. are congruent to each other.
(ii) If measures of two angles are equal then they are ………… .
(iii) If two figures A and B are congruent then we will write as …………… .
(iv) If two triangles ∆ABC and ∆PQR given congruent then possible pairs of correspondence are ……… .
Solution:
(i) measure (size)
(ii) congruent
(iii) A ≅ B,
(iv) 6

True/False
(i) ₹50 – 50 notes are same size and shape, it is (RBSESolutions.com) an example of congruency.
(ii) Figures may be different in size in congruency.
(iii) It is not compulsory in R.H.S. condition that one angle is right angle.
(iv) If two sides and including angle of a triangle are equal to the corresponding two sides and angle including by these the triangle will be congruent.
Answer:
(i) T
(ii) F
(iii) F
(iv) T

Very Short Answer Type Questions

Question 1
Give three examples of (RBSESolutions.com) congruent shapes from your real life.
Solution:
(i) Duplicate key of a lock.
(ii) ₹500 – 500 note
(iii) Ployergcards

Question 2
If ∆ABC ≅ ∆FED under the proper pairs of ABC ↔ FED. Then write all the corresponding congruent parts.
Solution:
∆ABC ≅ ∆FED means that ∆ABC covers (RBSESolutions.com) completely and vertices of ∆ABC will be on he vertices of ∆FED.
∴ A ↔ F, B ↔ E and C ↔ D
Corresponding sides will be congruent.
\(\overline { AB }\) ↔ \(\overline { FE }\) , \(\overline { BC }\) ↔ \(\overline { ED }\)and \(\overline { CA }\) ↔ \(\overline { DF }\)
Corresponding angles will be congruent.
∠A ↔ ∠F, ∠B ↔ ∠Eand ∠C ↔ ∠D

Question 3
If ∆DEF ≅ ∆BCA then write the (RBSESolutions.com) name of those parts which are congruent of the following:
(i) ∠E
(ii) \(\overline { EF }\)
(iii)∠F
(iv) \(\overline { DF }\)
Solution:
If ∆DEF = ∆BCA
Then D ↔ B, E ↔ C and F ↔ A
∴ Corresponding (RBSESolutions.com) parts of ∆BCA will be :
(i) ∠E ↔ ∠C
(ii) \(\overline { EF }\) ↔ \(\overline { CA }\)
(iii) ∠F ↔ ∠A
(iv) \(\overline { DF }\) ↔ \(\overline { BA }\)

RBSE Solutions

Short Answer Type Questions

Question 1
In figure AB = AC and D is mid point of BC.
(i) Write three pairs of (RBSESolutions.com) equal parts in ∆ADB and ∆ACD.
RBSE Solutions for Class 7 Maths Chapter 9 Congruence of Triangles Additional Questions
(ii) Is ∆ADB = ∆ADC ?
Give reason.
(iii) What is relation between ∠B and ∠C?
Solution:
(i) In ∆ADB and ∆ADC
AD = AD (common)
AB = AC (given)
and DB = DC (∵ D is mid point of BD)
(ii) By S.S.S. rule of congruency.
∆ADB ≅ ∆ADC
(iii) ∠B = ∠C (CPCT)

Question 2
Is ∆ABC ≅ ∆DEF ? Write their (RBSESolutions.com) corresponding angles.
RBSE Solutions for Class 7 Maths Chapter 9 Congruence of Triangles Additional Questions
Solution:
In given figure ∆ABC and ∆DEF
AB = EF = 7 cm, 5C = DF = 3.9 cm,AC = DF = 6.5 cm
Clearly A is corresponding of F.,
B is corresponding (RBSESolutions.com) of E and C is corresponding of D
∴ ∠A = ∠F, ∠B = ∠E and ∠C = ∠D
∴ ∆ABC ≅ ∆FED.

Question 3
In figure, BD and CEy are altitudes of ∆ABC and ∆BD = CE.
(i) Write three pairs of equal parts in ∆CBD and ∆BCE.
(ii) Is ∆CBD ≅ ∆BCE ? Why and why not?
(iii) Is ∠DCB ≅ ∠EBC ? Why and why not?
RBSE Solutions for Class 7 Maths Chapter 9 Congruence of Triangles Additional Questions
Solution:
(i) Three equal (RBSESolutions.com) parts in ∆CBD and ∆BCE are
CB = BC (common)
∠CDB = ∠BEC (each 90°)
and BD = CE (given)
(ii) From R.H.S. condition of congruency
∆CBD ≅ ∆BCE
(iii) Yes, ∠DCB = ∠EBC
(∵ corresponding angles of congruent triangles are equal)

RBSE Solutions

Long Answer Type Questions

Question 1
Divide a square sheet in (RBSESolutions.com) two triangles of equal area so that they are congruent
Solution:
∆ABC of = \(\frac { 1 }{ 2 }\) x BC x AB
= \(\frac { 1 }{ 2 }\) x 4 x 4 = 8 sq unit
RBSE Solutions for Class 7 Maths Chapter 9 Congruence of Triangles Additional Questions
and area of ∆DCA
= \(\frac { 1 }{ 2 }\) x DC x DA
= \(\frac { 1 }{ 2 }\) x 4 x 4 = 8 sq unit
∴ Area of ∆ABC = Area of ∆CDA
In ∆ABC and ∆CDA
AB = CD, ∠B =∠D and AC = AC(common)
∴ By RHS rule of congruency, ∆ABC ≅ ∆CDA

Question 2
The lengths of sides of triangles (RBSESolutions.com) shown in the following figures. Using SSS condition of congruency find which of the pairs are congruent, in condition of congruency, write in symbolic form.
RBSE Solutions for Class 7 Maths Chapter 9 Congruence of Triangles Additional Questions
RBSE Solutions for Class 7 Maths Chapter 9 Congruence of Triangles Additional Questions
Solution:
(i) In ∆ABC and ∆PQR
AB = PQ= 1.5 cm
BC = QR = 2.5 cm
CA = RP = 2.2 cm
By S.S.S. condition (RBSESolutions.com) of congruency ∆ABC ≅ ∆PQR

(ii) In ∆DEFand ∆LMN , EF ≠ MN
∴ These triangles are not congruent.

(iii) In ∆ABCand ∆PQR
BC ≠ QR
∴ These triangles are not congruent.

(iv) In ∆ADBand ∆ADC
AD = AD (common)
DB = DC = 2.5 cm
and BA = CA = 3.5 cm
In S.S.S. condition (RBSESolutions.com) of congruency , ∆ADB ≅ ∆ADC.

RBSE Solutions

We hope the RBSE Solutions for Class 7 Maths Chapter 9 Congruence of Triangles Additional Questions will help you. If you have any query regarding Rajasthan Board RBSE Class 7 Maths Chapter 9 Congruence of Triangles Additional Questions, drop a comment below and we will get back to you at the earliest.

Share this:

  • Click to share on WhatsApp (Opens in new window)
  • Click to share on Twitter (Opens in new window)
  • Click to share on Facebook (Opens in new window)

Related

Filed Under: Class 7

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

Rajasthan Board Questions and Answers

Recent Posts

  • RBSE Solutions for Class 7 Maths Chapter 4 Rational Numbers Ex 4.1
  • RBSE Solutions for Class 10 Maths Chapter 17 Measures of Central Tendency Additional Questions
  • RBSE Solutions for Class 10 Maths Chapter 3 Polynomials Additional Questions
  • RBSE Solutions for Class 10 Maths Chapter 4 Linear Equation and Inequalities in Two Variables Ex 4.1
  • RBSE Class 9 Maths Notes Chapter 12 Heron’s Formula
  • RBSE Solutions for Class 7 Maths Chapter 2 Fractions and Decimal Numbers In Text Exercise
  • RBSE Solutions for Class 10 Maths Chapter 1 Vedic Mathematics Additional Questions
  • RBSE Solutions for Class 11 Physical Geography Chapter 9 Denudation
  • RBSE Solutions for Class 9 Social Science Chapter 12 Physical Features of India
  • RBSE Solutions for Class 5 Maths Chapter 5 Multiples and Factors Additional Questions
  • RBSE Solutions for Class 10 Social Science Geography Chapter 1 Resource and Development

Footer

RBSE Solutions for Class 12
RBSE Solutions for Class 11
RBSE Solutions for Class 10
RBSE Solutions for Class 9
RBSE Solutions for Class 8
RBSE Solutions for Class 7
RBSE Solutions for Class 6
RBSE Solutions for Class 5
RBSE Solutions for Class 12 Maths
RBSE Solutions for Class 11 Maths
RBSE Solutions for Class 10 Maths
RBSE Solutions for Class 9 Maths
RBSE Solutions for Class 8 Maths
RBSE Solutions for Class 7 Maths
RBSE Solutions for Class 6 Maths
RBSE Solutions for Class 5 Maths
Target Batch
RBSE Class 11 Political Science Notes
RBSE Class 11 Geography Notes
RBSE Class 11 History Notes

Copyright © 2022 RBSE Solutions

 

Loading Comments...