Question

write a congruence statement to show that the two triangles are congruent. △cab≅△hga △bac≅△ahg △abc≅△agh △bac≅△hag

Explanation:

Step1: Identify corresponding angles and sides

In congruent triangles, corresponding vertices are matched. Looking at the angles and sides marked as equal (by the tick - marks and angle markings in the diagram), we match the vertices.

Step2: Write the congruence statement

For \(\triangle BAC\) and \(\triangle AHG\):

• The side \(BA\) in \(\triangle BAC\) corresponds to the side \(AH\) in \(\triangle AHG\) (based on the length markings).
• The side \(AC\) in \(\triangle BAC\) corresponds to the side \(HG\) in \(\triangle AHG\) (based on the length markings).
• The angles at \(A\) (vertical angles) are equal, the angle at \(B\) in \(\triangle BAC\) corresponds to the angle at \(H\) in \(\triangle AHG\), and the angle at \(C\) in \(\triangle BAC\) corresponds to the angle at \(G\) in \(\triangle AHG\) (based on the angle markings)

Answer:

\(\triangle BAC\cong\triangle AHG\)