Which of the following uses the given set of points to prove that ∠B≅∠F? A(0,0), B(3,0), C(2,3),

D(3,0), E(1,3), F(4,3)

Answers are one of the following

A
Since AB=EF=3, BC=FD=10−−√,and CA=DE=13−−√, ΔABC≅ ΔEFD by SSS. Therefore, ∠B≅∠F by CPCTC.

B
Since AB=EF=61−−√, BC=FD=34−−√,and CA=DE=5, ΔABC≅ ΔEFD by SSS. Therefore, ∠B≅∠F by CPCTC.

C
Since AB=EF=3, BC=FD=10−−√,and CA=DE=13−−√, ΔABC≅ ΔEFD by CPCTC. Therefore, ∠B≅∠F by SSS.

D
Since AB=EF=61−−√, BC=FD=34−−√,and CA=DE=5, ΔABC≅ ΔEFD by CPCTC. Therefore, ∠B≅∠F by SSS.

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)