Which of the following have two congruent parallel bases ?
2 answers:
<u>Answer-</u>
Cylinder and Prism have two congruent parallel bases.
<u>Solution-</u>
A. Circle
Circle is a 2 dimensional figure and it has only one base. So this does not have two congruent parallel bases.
B. Cylinder
Cylinder is a 3 dimensional object, where a circular base is extruded. It has two bases one on the top and other on the bottom. They both are parallel to each other.
C. Prism
Prism is a 3 dimensional object, where a triangular or any polygon base is extruded. It has two bases one on the top and other on the bottom. They both are parallel to each other.
D. Cone
A cone has a circular base and a curved surface which gets tapered from the circular base to a point. So this does not have two congruent parallel bases.
F. Pyramid
Pyramid consists of a square or triangular base and sloping sides that meet in a point at the top. So this does not have two congruent parallel bases.
Therefore, from the above options only Cylinder and Prism have two congruent parallel bases.
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Given that D is the mid point of CE ,
So D will bisect CE, it means the length of DE and CD is equal.
=> DE + CD = CE
As DE and CD are equal,
=> DE + DE = CE
=> 2 DE = CE
Putting values from the question,
=> 2( 7x - 1 ) = 10x + 18
=> 14x - 2 = 10x + 18
=> 14x - 10x = 18 + 2
=> 4x = 20
=> x = 20 / 4
=> x = 10 / 2
=> x = 5
Therefore, the value of x is 5
So D will bisect CE, it means the length of DE and CD is equal.
=> DE + CD = CE
As DE and CD are equal,
=> DE + DE = CE
=> 2 DE = CE
Putting values from the question,
=> 2( 7x - 1 ) = 10x + 18
=> 14x - 2 = 10x + 18
=> 14x - 10x = 18 + 2
=> 4x = 20
=> x = 20 / 4
=> x = 10 / 2
=> x = 5
Therefore, the value of x is 5