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use the sketch tool to mark the picture with the given information. the…

Question

use the sketch tool to mark the picture with the given information. then choose what postulate proves the triangles congruent. aas sss asa sas hl \\( \overline { q x } \cong \overline { s x }, \angle q \cong \angle s \\)

Explanation:

Step1: Vertical angles

Vertical angles are congruent. So, \(\angle QXP\cong\angle SXR\)

Step2: Congruent triangles

We have \(\overline{QX}\cong\overline{SX}\), \(\angle Q\cong\angle S\), and \(\angle QXP\cong\angle SXR\). By the ASA (Angle - Side - Angle) postulate, \(\triangle QXP\cong\triangle SXR\)

Answer:

ASA