Answer:
Type of tests is ASA. The justification is below.
Step-by-step explanation:
Given:
AB = AC = 8 cm
angle ABM = angle ACM
Let first name the vertices of a triangle such that points A, B and C. point M on side AB and point N on side AC
In ΔABN and ΔACM
[tex]\angle ABM \cong \angleACN \ Given\\AB \cong AC\ \textrm{Given 8 cm each}\\\angle BAM \cong \angle CAN \ \textrm{reflexive property of triangle}\\\\\triangle ABM \cong \triangle ACN\ \textrm{angle - side - angle test i.e ASA}\\[/tex]
Hence proved
