Show:
Parallelograms
Rhombuses
Rectangles
slopes
Sometimes, always, never
100

What is a parallelogram?

a four-sided plane rectilinear figure with opposite sides parallel

(note: in parallelograms, diagonals bisect each other!)

100

what is a rhombus?

a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

100

what is a rectangle?

a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square

100

What is the slope of the line y=0.5x+4

0.5

100

A rhombus is a square

sometimes

200

how is a square a parallelogram

A square is a parallelogram with four congruent sides and four right angles

200

How is a Rhombus similar to a square

A rhombus and a square are similar because they both have parallel sides

200

how is a rectangle similar to a square

A square is a rectangle with 4 equal sides. It's a special case of a rectangle

200

What is an equation of a line with a slope parallel to the line y=4x+1

answers vary

200

a square is a rectangle

always

300

How is a parallelogram a Quadrilateral

4 sides 4 angles

300

How is a Rhombus a Quadrilateral

4 sides, 4 angles

300

How is a Rectangle a Quadrilateral

4 sides, 4 angles

300
What is the perpendicular slope to a line with slope of 1.

-1

300

a quadrilateral with one set of parallel lines is a trapezoid

always

400

Name 3 types of parallelograms

Rectangle, Square, Rhombus, Trapezoid

400
Quadrilateral ABCD has slopes as follows: 


AB = 1/2

BC = -2/1

DA = -2/1

CD = 1/2

Explain whether this shape could be a rhombus.


Bonus: What else would we need to show to prove that it is a rhombus?


it could be a rhombus because opposite slopes are parallel






400

if a rectangle and rhombus had a baby, what would it look like?

a square! (look at flow chart)

400

3y-2x+1

y=2/3(x)=6

are these lines parallel, perpendicular or neither?

parallel

400

a rectangle is a rhombus

never

500

What is the sum of the angles in a parallelogram?


Bonus: Given a rectangle with the measure of angle A = 2x+30, find x.

360 degrees




500

Bonus: If the sides of a square are 4 cm, find the length of the diagonals. Hint: draw a picture.


Round to the nearest tenth if needed.

5.7 cm

500

What do the sides of a rectangle add to?

They could add to be anything! (the angles add to 360)

500

y=-5/3(x)+4

3y-5x=12

Are these lines parallel, perpendicular, or neither

neither
500

a parallelogram is a square

sometimes