Answer:
A-Yes they have congruent corresponding angles
C-Yes they have proportional corresponding sides
Explanation:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
The measure in the angle B is: 180° - 38° - 84° = 58° = angle E
The measure in the angle D is: 180° - 38° - 58° = 84° = angle A
So their corresponding angles are congruent .
From law of sine:
12/sin(84°) = BA/sin(38°)
[12/sin(84°)]*sin(38°) = BA
7.65 ≈ BA
12/sin(84°) = AC/sin(58°)
[12/sin(84°)]*sin(58°) = AC
10.2 ≈ AC
8/sin(58°) = EF/sin(84°)
8/sin(58°)*sin(84°) = EF
9.41 ≈ EF
The next proportion is also satisfied 12/9.41 = 7.65/6 = 10.2/8 = 1.275. Then, the corresponding sides are in proportion.