Characteristics and Proofs of a Rectangle: True / false

Examples with solutions for Characteristics and Proofs of a Rectangle: True / false

Exercise #1

True or false:

The sum of the angles of a rectangle is 360.

Step-by-Step Solution

We know that the sum of the angles in a quadrilateral is 360.

Since a rectangle is a type of quadrilateral, the sum of its angles is also equal to 360.

Likewise, we know that all the angles in a rectangle are right angles (90 degrees).

90×4=360 90\times4=360

Answer

True

Exercise #2

Are opposite sides parallel to each other in each rectangle?

Video Solution

Answer

Yes

Exercise #3

Are the opposite sides of a rectangle equal to one another?

Video Solution

Answer

No

Exercise #4

In a rectangle, are the diagonals equal to each other and do they cross each other?

Video Solution

Answer

Yes.

Exercise #5

It is possible to have a rectangle with different angles?

Video Solution

Answer

No

Exercise #6

A quadrilateral has at least 3 angles of 90 degrees and two pairs of equal opposite sides. Is it a rectangle?

Video Solution

Answer

Yes.

Exercise #7

True or false?

Every square is a rectangle and every rectangle is a square.

Video Solution

Answer

False

Exercise #8

There may be a rectangle with an acute angle.

Video Solution

Answer

Not true

Exercise #9

A rectangle can have diagonals that are not equal.

Video Solution

Answer

False