when its angles are right angles apex 5.5.3 quiz geometry.
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When is a rectangle a square
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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.
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In a given quadrilateral each side is parallel to its opposite side and the diagonals are not perpendicular What could it be
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Parallelogram and a rectangle
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If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram
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always
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Is the altitude of an equilateral triangle equal to a side length
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No. The altitude is smaller.
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A regular polygon is a convex polygon with all sides congruent and all angles congruent
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true
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What could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse
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2 Square Root 3 And 4
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The diagonals of a square are equal in length
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Yes.
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A median of a trapezoid is perpendicular to the bases true or false
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false. it is parellel to the bases
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Which set of values could be the side lengths of a 30-60-90 triangle
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3, 4 and 5 units of length
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Which of the following are true statements about a 30-60-90 triangle
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The hypotenuse is twice as long as the shorter leg AND The longer leg is 3 times as long as the shorter leg.
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If KLMN is a square can it be a rhombus
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The answer is it must be a rhombus
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Cards in this guide (12)
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
If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram
always
Is the altitude of an equilateral triangle equal to a side length
No. The altitude is smaller.
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.
A median of a trapezoid is perpendicular to the bases true or false
false. it is parellel to the bases
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.