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Chapter 4: Q9. (page 160)

Write proofs in two-column form.

Given: JM炉鈮�LM炉; JK炉鈮�LK炉.

Prove: 鈭�MJK鈮�鈭�MLK

Short Answer

Expert verified

The proof in two-column form is:

Step by step solution

01

- Observe the given diagram.

The given diagram is:

02

- Description of step.

It is being given thatJM炉鈮�LM炉 and JK炉鈮�LK炉.

In the triangles 鈻�MJKand 鈻�MLK, the side that is common is \[MK\].

Therefore, MK炉鈮�MK炉by using the reflexive property.

In the triangles 鈻�MJKand 鈻�MLK, it can be noticed that JM炉鈮�LM炉, MK炉鈮�MK炉 andJK炉鈮�LK炉.

Therefore, the triangles 鈻�MJK and 鈻�MLK are the congruent triangles by using the SSS postulate.

The triangles 鈻�MJK and 鈻�MLK are the congruent triangles.

Therefore, by using the corresponding parts of congruent triangles it can be said that 鈭�MJK鈮�鈭�MLK.

03

- Write the conclusion.

The proof in two-column form is:

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