my vocabulary: unit 4 quadrilaterals

How many important properties does a parallelogram have?

Six important properties.

How many properties are about sides?

Two properties are about side length.

How many properties are about angles?

Two properties are about angles.

How many properties are about diagonals?

Two properties are about diagonals.

What do parallel lines never do

Touch

Which shapes are in the parallelogram family?

Parallelogram

Rectangle

Rhombus

Square

What do rectangles, rhombuses, and squares have in common?

They all have every property of a parallelogram and more.

Property 1 Opposite sides

Opposite sides are parallel.

Property 2 Opposite sides Length

Opposite sides are congruent.

Property 3 Opposite angles

Opposite angles are congruent.

Property 4 Consecutive angles

Consecutive angles are supplementary (add to 180°).

Property 5 when there are 2 Diagonals

Diagonals bisect each other.

When diagonals bisect each other

The half of the diagonal are congruent

Property 6 when there is 1Diagonal drawn

A diagonal creates two congruent triangles.

Property 7 (of a rectangle) the lengths of the Diagonals

Diagonals are congruent.

Property 8 (of a rectangle) Angles

All angles are right angles (90°).

Is a rectangle a parallelogram

Yes

Rhombus property 1st extra prop – Sides

All sides of a rhombus are congruent (same length).

Rhombus property extra prop 2 – Diagonals intersect

The diagonals of a rhombus intersect at 90° angles (they are perpendicular).

Rhombus property extra prop 3 – Diagonals bisect angles

The diagonals cut the angles of the rhombus in half.

Is a rhombus a parallelogram

Yes

Does a rhombus square and rectangle have the same six original properties as a parallelogram

Yes

What happens when the diagonals of a rhombus intersect?

The diagonals intersect at 90° angles (perpendicular), forming four right triangles inside the rhombus.

How do the diagonals affect the angles of a rhombus?

The diagonals bisect the angles, cutting them in half. Each triangle inside shares these angle halves.

What is unique about a square?

The square has all the same properties as a rhombus parallelogram and a rectangle

How do you calculate the area of a square?

A= s²

A= (side) side

A= side x side

A= side times side

How do you calculate the side length from the perimeter of a square?

Divide the perimeter by 4.

What does it mean to solve in radical form?

When solving in radical form, isolate the variable with an exponent by taking the square root. Use the largest perfect square on the left side and the remaining factor under the radical on the right side.

What does bisect mean

Cut in half

What are different ways to say adjacent?

Next to and consecutive

Which quadrilateral does not always have congruent diagonals

A rhombus