A rectangle is a square when all of its sides are the same length.
A rectangle is SOMETIMES a square.
However, a square, is ALWAYS a rectangle.
This is due to the properties held by a rectangle as well as properties of a square.
Properties of Rectangle:
Opposite sides are congruent.
All angles are 90o.
Opposite sides are parallel.
Opposite central angles created by the diagonals are congruent.
All diagonals are congruent.
Properties of a Square:
All sides are congruent.
All angles are 90o.
Opposite sides are congruent.
Opposite sides are parallel.
Diagonals intersect at a 90o angle.
All diagonals are congruent.
So one can have a square that is always a rectangle due to the properties. However, a rectangle will only be a square if properties are the same as a square.
Sometimes
When all of its sides are exactly the same length.
🔄 Click to see term
Term1/19
What quadrilaterals bisect each other
🔄 Click to see definition
Definition1/19
Quadrilaterals do not bisect each other. They could in special
cases.
In parallelograms (types of quadrilaterals), the diagonals
bisect each other.
🔄 Click to see term
Term1/19
How many right angles are there in a rhombus
🔄 Click to see definition
Definition1/19
A rhombus normally has no right angles (at the vertices).
If a rhombus has right angles (at the vertices), it is called a
square.
The diagonals of a rhombus meet at right angles.
🔄 Click to see term
Term1/19
In a given quadrilateral each side is parallel to its opposite side and the diagonals are not perpendicular What could it be
🔄 Click to see definition
Definition1/19
Parallelogram and a rectangle
🔄 Click to see term
Term1/19
In a given quadrilateral each side is parallel to its opposite side and the diagonals are not perpindicular
🔄 Click to see definition
Definition1/19
False maybe
🔄 Click to see term
Term1/19
Which quadrilaterals are consecutive and opposite angles always congruent
🔄 Click to see definition
Definition1/19
quadrilaterals are consecutive and opposite angles always
congruent?
🔄 Click to see term
Term1/19
A regular polygon is a convex polygon with all sides congruent and all angles congruent
🔄 Click to see definition
Definition1/19
true
🔄 Click to see term
Term1/19
What is the value of rhombus if it is 4x-3
🔄 Click to see definition
Definition1/19
7
🔄 Click to see term
Term1/19
The diagonals of a square are equal in length
🔄 Click to see definition
Definition1/19
Yes.
🔄 Click to see term
Term1/19
If EFGH is a parallelogram what is the value of x. 4x-2 32
🔄 Click to see definition
Definition1/19
37
🔄 Click to see term
Term1/19
Is heptagon a regular polygon
🔄 Click to see definition
Definition1/19
Any polygon can be regular, but usually it is not.
🔄 Click to see term
Term1/19
What quadrilaterals have diagonals perpendicular to each other
🔄 Click to see definition
Definition1/19
rhombus and a square
🔄 Click to see term
Term1/19
If PQRS is a rhombus which statements must be true
🔄 Click to see definition
Definition1/19
QPR is congruent to SPR
PR is perpendicular to QPS
PQ =~ QR
PT =~ RT
🔄 Click to see term
Term1/19
Trapezoid JKLM has an area of 54 ft. If RC 6 feet and ML 8 feet find JK.
🔄 Click to see definition
Definition1/19
It is not possible to give a sensible answer because there is no
information on what RC has to do with the trapezoid.
🔄 Click to see term
Term1/19
Are necessary when proving that the opposite angles of a parallelogram are congruent
🔄 Click to see definition
Definition1/19
A basic knowledge of angles when two parallel lines meet a
transversal is necessary.
🔄 Click to see term
Term1/19
If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram.
🔄 Click to see definition
Definition1/19
True
🔄 Click to see term
Term1/19
If PQRS is a parallelogram with two adjacent congruent sides then .
🔄 Click to see definition
Definition1/19
it must be a rhombus
🔄 Click to see term
🥳
Great job!
You studied all the cards in this guide.
Rate this guide:
☆★☆★☆★☆★☆★
Start overPrint
Full screen
Rate this Study Guide:
☆★☆★☆★☆★☆★
Cards in this guide (19)
How many diagonals does a square have
It has 2 Diagonals!!!
When is a rhombus a rectangle
when Its angles are right angles
When is a rectangle a square
A rectangle is a square when all of its sides are the same length.
A rectangle is SOMETIMES a square.
However, a square, is ALWAYS a rectangle.
This is due to the properties held by a rectangle as well as properties of a square.
Properties of Rectangle:
Opposite sides are congruent.
All angles are 90o.
Opposite sides are parallel.
Opposite central angles created by the diagonals are congruent.
All diagonals are congruent.
Properties of a Square:
All sides are congruent.
All angles are 90o.
Opposite sides are congruent.
Opposite sides are parallel.
Diagonals intersect at a 90o angle.
All diagonals are congruent.
So one can have a square that is always a rectangle due to the properties. However, a rectangle will only be a square if properties are the same as a square.
Sometimes
When all of its sides are exactly the same length.
What quadrilaterals bisect each other
Quadrilaterals do not bisect each other. They could in special
cases.
In parallelograms (types of quadrilaterals), the diagonals
bisect each other.
How many right angles are there in a rhombus
A rhombus normally has no right angles (at the vertices).
If a rhombus has right angles (at the vertices), it is called a
square.
The diagonals of a rhombus meet at right angles.
In a given quadrilateral each side is parallel to its opposite side and the diagonals are not perpendicular What could it be
Parallelogram and a rectangle
In a given quadrilateral each side is parallel to its opposite side and the diagonals are not perpindicular
False maybe
Which quadrilaterals are consecutive and opposite angles always congruent
quadrilaterals are consecutive and opposite angles always
congruent?
A regular polygon is a convex polygon with all sides congruent and all angles congruent
true
What is the value of rhombus if it is 4x-3
7
The diagonals of a square are equal in length
Yes.
If EFGH is a parallelogram what is the value of x. 4x-2 32
37
Is heptagon a regular polygon
Any polygon can be regular, but usually it is not.
What quadrilaterals have diagonals perpendicular to each other
rhombus and a square
If PQRS is a rhombus which statements must be true
QPR is congruent to SPR
PR is perpendicular to QPS
PQ =~ QR
PT =~ RT
Trapezoid JKLM has an area of 54 ft. If RC 6 feet and ML 8 feet find JK.
It is not possible to give a sensible answer because there is no
information on what RC has to do with the trapezoid.
Are necessary when proving that the opposite angles of a parallelogram are congruent
A basic knowledge of angles when two parallel lines meet a
transversal is necessary.
If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram.
True
If PQRS is a parallelogram with two adjacent congruent sides then .
In a given quadrilateral each side is parallel to its opposite side and the diagonals are not perpindicular
How do you construct a quadrilateral when its sides are given
The portion of the wall to be tilied measured 16 inches wide and 72 inches long what you the largest square tile that can be used so that not tiles not tiles be cut
If diagnols are perpendiculare then quadrilateral is what
In a given quadrilateral each side is parallel to its opposite side and the diagonals are not perpindicular
How do you construct a quadrilateral when its sides are given
The portion of the wall to be tilied measured 16 inches wide and 72 inches long what you the largest square tile that can be used so that not tiles not tiles be cut
If diagnols are perpendiculare then quadrilateral is what