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Geometry

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Dortha Miller

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โˆ™ 2021-10-14 18:34:19
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Cards in this guide (20)
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

What is a rhombus with 2 right angles

A rhombus with 2 right angles is not possible. Only a rhombus with 4 right angles is possible, a square.

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 .

it must be a rhombus

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