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Geometry

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Kamryn Renner

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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.

If KLMN is a square can it be a rhombus

The answer is it must be a rhombus

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