Question

Can someone help me out with this

Answer 1

Type of tests is ASA. The justification is below.

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

`\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}\\`

Hence proved