when its angles are right angles apex 5.5.3 quiz geometry.
🔄 Click to see term
Term1/9
When is a rectangle a square
🔄 Click to see definition
Definition1/9
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
Term1/9
If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram
🔄 Click to see definition
Definition1/9
always
🔄 Click to see term
Term1/9
A regular polygon is a convex polygon with all sides congruent and all angles congruent
🔄 Click to see definition
Definition1/9
true
🔄 Click to see term
Term1/9
What could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse
🔄 Click to see definition
Definition1/9
2 Square Root 3 And 4
🔄 Click to see term
Term1/9
The diagonals of a square are equal in length
🔄 Click to see definition
Definition1/9
Yes.
🔄 Click to see term
Term1/9
Which set of values could be the side lengths of a 30-60-90 triangle
🔄 Click to see definition
Definition1/9
3, 4 and 5 units of length
🔄 Click to see term
Term1/9
Which of the following are true statements about a 30-60-90 triangle
🔄 Click to see definition
Definition1/9
The hypotenuse is twice as long as the shorter leg AND The longer leg is 3 times as long as the shorter leg.
🔄 Click to see term
Term1/9
If KLMN is a square can it be a rhombus
🔄 Click to see definition
Definition1/9
The answer is 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 (9)
When is a rhombus a rectangle
when its angles are right angles apex 5.5.3 quiz geometry.
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.
If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram
always
A regular polygon is a convex polygon with all sides congruent and all angles congruent
true
What could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse
2 Square Root 3 And 4
The diagonals of a square are equal in length
Yes.
Which set of values could be the side lengths of a 30-60-90 triangle
3, 4 and 5 units of length
Which of the following are true statements about a 30-60-90 triangle
The hypotenuse is twice as long as the shorter leg AND The longer leg is 3 times as long as the shorter leg.