Question

determining congruent circles
circle a has a radius of 6. which circles are congruent to circle a?
choose two correct answers.
circle f
circle g
circle h

Explanation:

Step1: Recall the definition of congruent circles

Congruent circles have equal radii.

Step2: Calculate the radii of each circle

• For circle \(D\): Diameter \(d = 12\), radius \(r=\frac{d}{2}=\frac{12}{2} = 6\)
• For circle \(E\): Radius \(r = 6\)
• For circle \(F\): Diameter \(d = 12\), radius \(r=\frac{d}{2}=\frac{12}{2}=6\)
• For circle \(G\): Diameter \(d = 6\), radius \(r=\frac{d}{2}=\frac{6}{2}=3\)
• For circle \(H\): Radius \(r = 6\)

Answer:

circle \(F\), circle \(H\)