The cross section of a square pyramid taken perpendicular to the base that passes through the top vertex produces which two-dimensional shape?

note: use all lowercase letters in your answer to receive credit.

triangle.  

Step-by-step explanation:

given: a square pyramid

to find : shape of cross section made when a plane perpendicular

             to base and passes through top vertex.                                                                  

when a plane cuts the square pyramid perpendicular to base and passes through top vertex we get a cross section made by its two equal slant height and side of the square.

therefore, we get a triangle or more specifically isosceles triangle.

picture is attached.

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.