Q1. - Geometry

Question

Given, $\Delta JKM$

Explain how to construct a triangle that is congruent to $\Delta JKM$.

Step-by-Step Solution

Answer

By $SSS$congruency, $\Delta JKM\cong \Delta PQR$.

Step 1. Given information.

 A triangle $\Delta JKM$ is given as shown below,

Step 2. Concept used.

According to $SSS$ congruence criteria, 

if all the sides of one triangle are congruent to the corresponding sides of other triangle,

 then the two triangles are said to be congruent.

Step 3. Construct a triangle.

Construct $\Delta PQR$ such that,

 $PQ\cong MJ, PR\cong MK, QR\cong JK$.

So, 

$\Delta JKM\cong \Delta PQR$              (by $SSS$ congruence criteria)

Therefore, by $SSS$congruency $\Delta JKM\cong \Delta PQR$.