Question

1. test for aa.

(180 - 47 - 68 = 65)
(there are two triangles: triangle ors with angles 47°, 68° at o and s respectively; triangle tvu with angles 59°, 47° at t and v respectively)
not similar aa~ sss~ sas~

1. test for sss

Explanation:

Step1: Calculate angle in △ORS

In triangle \( ORS \), the sum of angles is \( 180^\circ \). Given \( \angle O = 47^\circ \), \( \angle S = 68^\circ \), so \( \angle R = 180 - 47 - 68 = 65^\circ \).

Step2: Analyze angles in △TVU

In triangle \( TVU \), \( \angle V = 47^\circ \), \( \angle T = 59^\circ \), so \( \angle U = 180 - 47 - 59 = 74^\circ \).

Step3: Check AA similarity

AA (Angle - Angle) similarity requires two pairs of congruent angles. In \( \triangle ORS \) and \( \triangle TVU \), only \( \angle O = \angle V = 47^\circ \) is common. The other angles are \( 65^\circ, 68^\circ \) vs \( 59^\circ, 74^\circ \), no second pair of equal angles. So triangles are not similar by AA.

Answer:

Not Similar