Question

1. A Linear Equation has Solutions (-5, 5), (0, 0) and (5, -5). Write the Linear Equation in Two Variables.

2. In the Triangles, ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP then Write the Congruence Criterion required to show ΔABC ≅ ΔPQR.

Answer 1

Answer:

Here is your answer dear

Step-by-step explanation:

Concept :

Congruence of triangles :

Two triangles are congruent, if sides and angles of a triangle are equal to the corresponding sides and angles of the triangle.

In Congruent triangles, corresponding parts are always equal and we write it in short 'CPCT', i e, Corresponding Parts of Congruent Triangles.

It is necessary to write a correspondence of vertices correctly for writing the congruence of triangles in symbolic form.

Given : In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP

In ∆ABC and ∆RPQ,

AB = RP (Given)

∠A = ∠R (Given)

∠B = ∠P (Given)

Hence, by ASA congruence criterion, we obtain ∆ABC ≅ ∆RPQ

Option (B) ASA is correct.

HOPE THIS ANSWER WILL HELP YOU…..

Answer 2

Hi there!

Here is your answer:

1) To write a linear equation, we first find a relationship between the two points.

Here, we find that on adding the two co-ordinates we get the sum as 0.

> (-5) + 5 = 0

> 0 + 0 = 0

HENCE THE SIMPLEST LINEAR EQUATION IN TWO VARIABLES WILL BE: x + y = 0

2) The congruence criteria required to show that ∆ABC ≅ ΔPQR is ASA rule.