The coordinates a (0, 0), b (0, 4), c (4, 4), and d (4, 0) are graphed and connected together. what three-dimensional shape will be created when this shape is rotated about the y-axis? provide an explanation for your answer to receive full credit.

A cylinder with height 4 units and radius 4 units

Step-by-step explanation:

Given that The coordinates A (0, 0), B (0, 4), C (4, 4), and D (4, 0) are graphed and connected together.

Since AB =BC=CD=DA we get all sides are equal

Also AB is y axis and AD is x axis, hence one angle is 90 hence all angles are 90 degrees.

Hence this is a square

When it is rotated about y axis, we gt a cylinder which has radius equal to side of the square and height also equal to the side of the square.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

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step-by-step explanation: