5 circles are shown. Circle D has a secant with length 12. Circle E has a radius with length 6. Circle H has a secant with length 6. Circle F has a diameter with length 12. Circle G has a diameter with length 12.

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

Respuesta :

The circle E, circle F and circle G are the circles which are congruent (similar) to the circle A has a radius of 6.

Let us discuss about the structure of each circles.

Circle D

The circle D has the secant with the length 12. The secant means the straight line joining two points on the circle. So, we can't conclude that the secant will always be the diameter. Hence, it has different shape compared to circle A.

Circle E

The circle E has the radius with length 6. The radius is same as the radius of the circle A. So, it is similar to the circle A.

Circle H

The circle D has the secant with the length 6. Similar to the condition of circle D, it is not congruent to circle A.

Circle F

The circle F has the diameter with length 12. Which means, the radius of this circle is with length 6. Hence, it is similar to the circle A.

Circle G

The circle G has the diameter with length 12. Which means, the radius of this circle is with length 6. Hence, it is similar to the circle A.

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