Are a parallelogram and a pentagon always sometimes or never similar

Mathematics

2 answers:

Vikentia [17]3 years ago

5 0

Never similar. Because a pentagon does not have a parallel side to it. Hope this helps.

erastovalidia [21]3 years ago

3 0

They are never similar. In order for two shaped to be similar, they must have the same number of sides, and the angles all must be the same. The only difference between two similar shapes is that their side lengths proportionally larger or smaller.

Since a parallelogram has 4 sides, and a pentagon has 5 sides, they can never be similar.

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Choose the correct word that completes each statement about inscribing a square in a circle.

Anna11 [10]

Answer:

1. Perpendicular

2. Isosceles

3. Never

Step-by-step explanation:

1. AC ⊥ BD because diameter of a square are perpendicular bisector of each other.

2. In Δ AOB , By using pythagoras : AB² = OA² + OB² .......( 1 )

In Δ COB , By using pythagoras : BC² = OC² + OB² ..........( 2 )

But, OA = OC because both are radius of same circle

So, by using equations ( 1 ) and ( 2 ), We get AB = BC ≠ AC

⇒ ABC is a triangle having two equal sides so ABC is an isosceles triangle.

3. The side can never be equal to radius of circle because the side of the square will be chord for the circle and in a circle chord can never be equal to its radius