RD Sharma Solutions Class 7 Mathematics Solutions for Congruence Exercise 16.2 in Chapter 16 - Congruence

Question 7 Congruence Exercise 16.2

Δ ABC and ΔABD are on a common base AB, and AC = BD and BC = AD as shown in

Fig. 18. Which of the following statements is true?

(i) ΔABC ≅ ΔABD

(ii) ΔABC ≅ ΔADB

(iii) ΔABC ≅ ΔBAD

Answer:

In ΔABC and ΔBAD we have,

AC = BD (given) BC = AD (given)

And AB = BA (corresponding parts of congruent triangles)

Therefore by SSS criterion of congruency, ΔABC ≅ ΔBAD

Therefore option (iii) is true.

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Exercises

Congruence Exercise 16.1

Congruence Exercise 16.2

Congruence Exercise 16.3

Congruence Exercise 16.4

Congruence Exercise 16.5

Chapters

Integers

Fractions

Decimals

Rational Numbers

Operations on Rational Numbers

Exponents

Algebraic Expressions

Linear Equations In One Variable

Ratio and Proportion

Unitary Method

Percentage

Profit and Loss

Simple Interest

Lines and Angles

Properties of Triangle

Congruence

Constructions

Symmetry

Visualising Solid Shapes

Mensuration 1

Mensuration 2 Area of Circle

Data Handling-Collection Organisation Data

Data Handling-Central Values

Data Handling-Construction Of Bar Graphs

Data Handling-Probability