Question

Quadrilateral ABDE is a rectangle. AB = 10 cm and AE = 16 cm.

Rectangle A B D E is shown. Point C is the midpoint of side D B, point G is the midpoint of side B A, point F is the midpoint of side E A, and point H is the midpoint of side D E. Side A E is 16 centimeters and side A B is 10 centimeters.

Through which two points could a line of rotation be placed so that the base of the resulting cylinder will have a radius of 5 cm?

D and E
B and D
C and F
G and H

Answer 1

option D

Step-by-step explanation: just because

Answer 2

Option D.

Explanation:

Given information: ABDE is a rectangle. AB = 10 cm and AE = 16 cm.

Opposite sides of a rectangle are equal.

Point C is the midpoint of side DB, It means DC=CB=8 cm.

Point G is the midpoint of side BA. It means BG=GA=5 cm.

Point F is the midpoint of side EA. It means EF=FA=8 cm.

Point H is the midpoint of side DE. It means DH=HE=5 cm.

We need to find the two points through which a line of rotation be placed so that the base of the resulting cylinder will have a radius of 5 cm.

From the below figure it is clear that if the rectangle is rotated about the line GH then it forms a cylinder with radius 5.

The required points are G and H.

Therefore, the correct option is D.