Which shape best describes the object generated when square is rotated about the axis? hollow rectangular prism solid rectangular prism hollow cylinder solid cylinder which three-dimensional object is formed when the shape is rotated about the axis as shown? sphere cylinder cone hemisphere which description best describes the three-dimensional object that is formed when the shape is rotated about the axis as shown? a hollow cylinder a flat disk with a hole in the center a square pyramid a rectangular prism that is open on the ends

Ques 1) Hollow cylinder.

Ques 2) sphere.

Ques 3) Hollow cylinder.

Step-by-step explanation:

Ques 1)

on rotating the first figure about the axis:

If you rotate the square around the axis as shown in the first diagram, then the square will form a 3D ring around the vertical axis. This ring is essentially a hollow cylinder as the region in between is left empty.

Ques 2)

Rotating that semi-circle around the axis shown will generate a full sphere.

Ques 3)

As we have done in ques 1) now this time in place of square we are given a rectangle so on rotating this rectangle a hollow cylinder will be formed.

It should be noted that the shape that describes the object generated when square is rotated about the axis is C. Hollow cylinder.

The three-dimensional object that is formed when the shape is rotated about the axis as shown is a sphere.

In the third diagram, the three-dimensional object that is formed when the shape is rotated about the axis as shown is a hollow cylinder.

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∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

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step-by-step explanation: