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Chapter 4: Q9. (page 160)

Write proofs in two-column form.

Given: JM¯≅LM¯; JK¯≅LK¯.

Prove: ∠MJK≅∠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¯≅LM¯ and JK¯≅LK¯.

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

Therefore, MK¯≅MK¯by using the reflexive property.

In the triangles ▵MJKand ▵MLK, it can be noticed that JM¯≅LM¯, MK¯≅MK¯ andJK¯≅LK¯.

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

The triangles ▵MJK and ▵MLK are the congruent triangles.

Therefore, by using the corresponding parts of congruent triangles it can be said that ∠MJK≅∠MLK.

03

- Write the conclusion.

The proof in two-column form is:

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Most popular questions from this chapter

For the following figure, can the triangle be proved congruent. If so, what postulate can be used?

OR¯is a common side of two congruent quadrilaterals.

Complete: quad. NERO≅quad ?¯.

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to ΔABC. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to ΔABCIf so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

OR¯is a common side of two congruent quadrilaterals.

Complete: quad.NERO≅quad?¯.
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