Question

determining congruent circles
circle a has a radius of 6. which circles are congruent to circle a? check all that apply.
circle d
circle e
circle f
circle g
circle h

Explanation:

Step1: Recall congruent - circle property

Two circles are congruent if they have the same radius.

Step2: Calculate radii of given circles

• For circle D: Diameter = 12, so radius $r_D=\frac{12}{2} = 6$.
• For circle E: Radius $r_E = 6$.
• For circle F: Diameter = 12, so radius $r_F=\frac{12}{2}=6$.
• For circle G: Diameter = 6, so radius $r_G=\frac{6}{2}=3$.
• For circle H: The length given is not a diameter - related measure for radius calculation, assume it's not a valid radius - like measure here, and it's not congruent to circle A.

Answer:

circle D
circle E
circle F