QUADRILATERALS

Definitions

100

A quadrilateral with 2 pairs of parallel sides and 2 pairs of equal sides.

Parallelogram

200

A quadrilateral with 2 pairs of parallel sides, 4 equal sides, and 4 right angles.

Square

300

A quadrilateral with 1 pair of parallel sides, 1 pair of equal sides, and no right angles

Trapezoid

400

A quadrilateral with 2 pairs of parallel sides, 2 pairs of equal sides, and 4 right angles

Rectangle

500

A quadrilateral with 2 pairs of parallel sides and 4 equal sides, but no right angles

Rhombus

True/False

100

A rectangle is always a square.

False - not all rectangles have 4 equal sides.

200

A square is always a rectangle.

True - squares and rectangles have 4 right angles, 2 pairs of parallel sides, and 2 pairs of equal sides.

300

A square is always a rhombus.

True - Both have 4 equal sides and 2 pairs of parallel sides.

400

A rhombus is always a square.

False - a rhombus does not always have 4 right angles.

500

A rhombus is always a parallelogram.

True - a rhombus has 2 pairs of parallel sides and 2 pairs of equal sides.

Name that Quadrilateral

100

Any rectangle with all sides the same length.

Square

200

One side of a parallelogram is 5 inches and another side is 8 inches. What are the lengths of the other sides?

5 inches and 8 inches

300

Any rhombus with 4 right angles.

Square

400

Any parallelogram with 4 right angles.

Square and Rectangle

500

Any quadrilateral with opposite sides that are the same length.

Parallelogram, Rhombus, Rectangle, Square

Mix it up!

100

Which statement is true? A) A trapezoid has 2 pairs of parallel sides. B) A parallelogram has 2 pairs of parallel sides. C) A Square has only 2 right angles. D) A rectangle has only 5 sides.

B) A parallelogram has 2 pairs of parallel sides.

200

True or False: A rectangle is always a parallelogram.

True - parallelograms and rectangles have 2 pairs of parallel sides and 2 pairs of equal sides.

300

True or False: A parallelogram is always a rectangle.

False - not all parallelograms have right angles.

400

True or False: A parallelogram is always a rhombus.

False - a parallelogram does always have 4 equal sides.

500

Can you make a trapezoid with all sides the same length?

No, trapezoids have only 1 pair of equal sides.

Measurement

100

Triangle ABC has one angle that is 60 degrees.  Another angle is 45.  Identify the measurement of the 3rd angle.

180 = 60 + 45 + X

X  =   75 degrees

200

Rhombus has one angle that is 75 degrees and another angle that is 105.  Identify the measurements of the other two angles.

Rhombus has one pair of ACUTE angles and one pair of OBTUSE angles.  Measurement of the other 2 angles are  75⁰ and 105⁰

300

This quadrilateral has the following angle measurements:
Angle 1:   X + 4      Angle 2:   85
Angle 3:   85           Angle 4:   4 + X
Identify the value for  " X "

360  =   85  + 85  +  2(X+4)

360   =   170  +  2X  +  8

182 / 2   =   X

X   =  91⁰

400

The sides of this Isosceles Trapezoid have the following measurements...
side 1 =   28 - X
side 2 =   15
side 3 =  3X
Base is side 4  = X/2
Identify the value for "X"

side 1  =  side 2
28 - X    =  15

X   =   13

500

Draw the QUAD TREE that is used for "Sometimes, Always & Never"  Label everything correctly.

           QUAD
   P              Tr     Kt
Rh  Rc
   Sq

Down is  S  ,   Up is  A
NEVER is   horizontal