circle a has a radius of 6. which circles are congruent to circle a? check all that apply. circle d circle e…
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
Answer
Answer:
B. circle E, D. circle G
Explanation:
Step1: Recall congruent - circle definition
Two circles are congruent if they have the same radius.
Step2: Find radii of given circles
- For circle A, radius (r_A = 6).
- For circle D, diameter (d_D=12), so radius (r_D=\frac{d_D}{2}=\frac{12}{2} = 6).
- For circle E, radius (r_E = 6).
- For circle F, diameter (d_F = 12), so radius (r_F=\frac{d_F}{2}=\frac{12}{2}=6).
- For circle G, radius (r_G = 6).
- For circle H, diameter (d_H = 6), so radius (r_H=\frac{d_H}{2}=3).
Step3: Identify congruent circles
Circles with radius equal to 6 (same as circle A) are circle E and circle G.