Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why def=jkl?

AAS

LA

ASA

Step-by-step explanation:

In the given picture, we have two right triangles in which one side and one angle is equal to the corresponding side and one angle of the another right triangle,

So by LA theorem

ΔDEF≅ΔJKL

Also, two angles of ΔDEF is equal to the corresponding two angles of ΔJKL and one non included side, So by AAS theorem they are congruent.

If we consider right angle also, then two angles of ΔDEF is equal to the corresponding two angles of ΔJKL and one included side, So by ASA postulate they are congruent.

In ΔDEF and ΔJKL no two sides are given congruent thus we cannot apply SAS or LL or HL (hypotenuse are not given to be equal).

step-by-step explanation:

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.