From a Quadrilateral to a Rectangle: Identifying and defining elements

Examples with solutions for From a Quadrilateral to a Rectangle: Identifying and defining elements

Exercise #1

Given the quadrilateral ABCD whereby

AD||BC , AB||CD

Indicate if the quadrilateral is a rectangle.

AAABBBCCCDDD100°

Video Solution

Step-by-Step Solution

In a rectangle, it is known that all angles measure 90 degrees.

Since we know that angle B is equal to 100 degrees, the quadrilateral cannot be a rectangle.

Answer

No

Exercise #2

ABCD is a Given the quadrilateral.

AD||BC

AB||CD

Is the quadrilateral a rectangle?

AAABBBCCCDDD90°

Video Solution

Answer

Yes.

Exercise #3

Given the quadrilateral ABCD so that

AD||BC , AB||CD

Indicate if the quadrilateral is a rectangle.

AAABBBCCCDDD30°60°

Video Solution

Answer

Yes

Exercise #4

Given the quadrilateral ABCD so that

AD||BC , AB||CD

Indicate if the quadrilateral is a rectangle.

AAABBBCCCDDD80°20°

Video Solution

Answer

No

Exercise #5

Given the quadrilateral ABCD so that

AD||BC , AB||CD

Indicate if the quadrilateral is a rectangle.

AAABBBCCCDDDEEE90°

Video Solution

Answer

Yes

Exercise #6

ABCD is a quadrilateral.

AD||BC

AB||CD

Is the quadrilateral a rectangle?

AAABBBDDDCCCEEE100°

Video Solution

Answer

No

Exercise #7

Look at the quadrilateral below.

AD||BC

AB||CD

Is the quadrilateral ABCD a rectangle?

AAABBBCCCDDDOOO40°100°60°

Video Solution

Answer

No

Exercise #8

Look at the quadrilateral below.

AD||BC

AB||CD

Is the quadrilateral ABCD a rectangle?

AAABBBCCCDDDOOO40°100°50°

Video Solution

Answer

Yes