Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which rule explains why these triangles are congruent? asa sss sas aas …

Question

which rule explains why these triangles are congruent?
asa
sss
sas
aas
these triangles cannot be proven congruent.

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. So, \(\angle NJP=\angle MJK\)

Step2: Analyze given side - side relationships

From the marks, \(NJ = MJ\) and \(PJ=KJ\)

Step3: Apply congruence rule

We have two sides and the included angle (SAS: Side - Angle - Side) congruent.

Answer:

SAS