Question

Determine if triangle UVW and triangle XYZ are or are not similar, and, if they are, state how

you know. (Note that figures are NOT necessarily drawn to scale.)
W
62°
U
56°
V
N
Y
56
62
X

Answer 1

Triangles UVW and XYZ are similar by the Angle-Angle (AA) criterion, as they both have two pairs of corresponding angles that are equal (62° and 56°).

Step-by-step explanation:

The question asks to determine if triangle UVW and triangle XYZ are similar. Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Since the question gives the angle measures for corresponding angles in both triangles and they are equal (triangle UVW has angles 62°, 56°, and by deduction 62°; while triangle XYZ has angles 62° and 56°), we can conclude that the two triangles are indeed similar by the Angle-Angle (AA) criterion, which states that two triangles are similar if they have two corresponding angles congruent.