14 A
B
Shape A is a semi-circle which has a radius of 12 cm.
Shape B is a circle.
The area of shape A is 8 times the area of shape B.
Show that the radius of shape B is 3 cm.
(Total for question 14 is 3 marks)

The correct option is ΔABC ≅ ΔFED by SAS

Step-by-step explanation:

Looking at the given diagram,

Side AC = Side DF = 3.2

Side AB = Side FE = 4 units

Angle A = angle F = 72 degrees

Since two sides and one angle are equal, then triangle FED = triangle ABC by SAS(side angle side)

This makes the ratios possible

AB/FE = AC/DF

The HL given means hypotenuse leg. It will not hold because the triangles are not right angle triangles.