Question

state what additional information is required in order to for the reason given. 11) sas
a) ∠q≅∠g
b) (overline{qr}congoverline{gh})
c) ∠p≅∠f
d) (overline{pq}congoverline{fg}) or (overline{rp}congoverline{hf})

Explanation:

Step1: Recall SAS criterion

SAS (Side - Angle - Side) congruence criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
In \(\triangle QRP\) and \(\triangle GHF\), we already know two pairs of sides are congruent (shown by the tick - marks). We need the included angles between those sides to be congruent.
The included angle for the given sides in \(\triangle QRP\) is \(\angle Q\) and in \(\triangle GHF\) is \(\angle G\).

Step2: Determine the required information

We need \(\angle Q\cong\angle G\) to apply the SAS congruence criterion.

Answer:

A. \(\angle Q\cong\angle G\)