Cards in this guide (27)
How many sides does a regular nonagon have
All rectangles are parallelograms
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.
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
HIJK is definitely a parallelogram
Is the altitude of an equilateral triangle equal to a side length
No. The altitude is smaller.
Which quadrilaterals are consecutive and opposite angles always congruent
quadrilaterals are consecutive and opposite angles always
congruent?
What is the value of rhombus if it is 4x-3
How do you construct a quadrilateral when its sides are given
The lengths of the sides does not provide sufficient information to define a quadrilateral. This is because a quadrilateral can be flexed.
For example, given the facts that the lengths are all the same, the quadrilateral could be a square or a rhombus.
If LMNO is a rectangle and MO equals 36 what is the length of
Fill in the blanks In the 30-60-90 triangle below side s has a length of and side q has a length of
4 and 4 square root 3 apex!!!!
A quadrilateral is a parallelogram only if both pairs of opposite sides are equal
A median of a trapezoid is perpendicular to the bases true or false
false. it is parellel to the bases
Which quadrilaterals have diagnols that are perpendicular to each other
A square, rhombus and a kite
Does a regular polygon have equal angles and unequal sides
A regular polygon has equal angles AND sides.
Why do all the properties of parallelograms apply to rhombi
Because all rhombi are parallelograms.
What are necessary when proving that the diagonals of a rectangle are congruent
A ruler or a compass would help or aternatively use Pythagoras'
theorem to prove that the diagonals are of equal lengths
What is necessary when proving that the diagonals of a rectangle are congruent
opposite sides are congruent
corresponding parts of congruent triangles are congruent(apex)
What quadrilaterals have diagonals perpendicular to each other
If segment ab is congruent to segment bc then angle a is congruent to angle c by what
A certain triangle has a 30 angle and 60 angle which must be a true statement about the triangle
The longest side is twice as long as the shortest side.
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.
In which the following quadrilaterals are consecutive angles always congruent
Square and Rectangle Apex
What is the length of Np if LMNO is a rectangle and MO44
If KLMN is a square can it be a rhombus
The answer is it must be a rhombus