Characteristics and Proofs of a Rectangle: Drawing a rectangle based on properties

Examples with solutions for Characteristics and Proofs of a Rectangle: Drawing a rectangle based on properties

Exercise #1

The points A and O are shown in the figure below.

Is it possible to draw a rectangle so that the side AO is its diagonal?

AAAOOO

Video Solution

Answer

Yes

Exercise #2

BBBCCCDDD

How many rectangles can be drawn if the angle between the two sides is 100?

Video Solution

Answer

0

Exercise #3

A and B are two vertices in a rectangle.

How many rectangles that have A and B as adjacent vertices can be drawn?

Video Solution

Answer

4

Exercise #4

B and D are two vertices in a rectangle.

How many rectangles can be drawn using BD is a diagonal?

BBBDDD

Video Solution

Answer

3

Exercise #5

B and D are vertices.

How many rectangles can be drawn that have B and D as opposite vertices?

BBBDDD

Video Solution

Answer

1

Exercise #6

Given two points A and C such that the straight line AC is a diagonal of some quadrilateral. Is it possible to draw a second diagonal that is equal to the one drawn so that a rectangle is obtained?

AAACCC

Video Solution

Answer

Yes

Exercise #7

Given two points B and D such that the straight line DB is a diagonal of some quadrilateral. Is it possible to draw a second diagonal that is equal to the one drawn so that a rectangle is obtained?

BBBDDD

Video Solution

Answer

Yes