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If JO = 32 is JKO = PMN? If so, find JN

A. Yes, JKO = PMN by AAS; JN = 32
B. Yes, JKO = PMN by AAS; JN = 51.
C. Yes, JKO = PMN by SAS; JN = 51.
D. No, the triangles are not congruent.

(the answer is not C)

If JO = 32 is JKO = PMN? If so, find JN A. Yes, JKO = PMN by AAS; JN = 32 B. Yes, JKO-example-1
User Xenia
by
8.1k points

2 Answers

2 votes

The answer is B. Yes, JKO = PMN by AAS; JN = 51.

User ATV
by
8.4k points
5 votes

Answer:

Option B.

Explanation:

Given information: JO = 32, JK║PM, KO║MN.

In triangle JKO and PMN,


\angle JOK\cong \angle PNM (Corresponding angles)


\angle OJK\cong \angle NPM (Corresponding angles)


JK\cong PM (10+15=25)

Two angles and one non-include side are congruent to corresponding two angle and non-included side.


\triangle JKO\cong \triangle PMN (By AAS postulate)

Corresponding parts of congruent triangles are congruent.


JO\cong PN (CPCTC)


JO=PN (Definition of congruent segment)


JO=PO+ON


32=13+ON


32-13=ON


19=ON

We need to find the value of JN.


JN=JO+ON


JN=32+19


JN=51

Therefore, the correct option is B.

User Kboul
by
8.3k points
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