This lesson discusses related to the circle.

postulates

corollaries

definitions

theorems

theorems

Step-by-step explanation: Doing the this assignment right now.

Theorems

Step-by-step explanation:

Theorems is the right answer.

A circle is a geometric figure where all points on the circle keep equal distances from a point called the centre.

A circle has so many important properties.

The important of these are called theorems related to circles.

Some of the theorems are

i)Central angle theorem

ii) Opposite angles are supplementary for a cyclic quadrilateral, etc

Hence theorems would be the appropriate word for filling up the answer

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.