Unit 9 – M1F
 Good Morning!! As you walk in, please pick up your calculator
and begin working on your warm-up!
1. Put the following equation in slope intercept equation: 4y +
12x = 36
2. Given the following equations, are the lines parallel,
perpendicular, or neither? y = 5x + 7 and 6y – 30x = 15
3. Given the equation, y = -3/2x + 17, what is the
corresponding perpendicular equation?
What is a quadrilateral? A polygon that
has exactly 4 sides
We can classify quadrilaterals by sides and
angles
1.
2.
3.
4.
5.
6.
Congruent: lengths are equal
adjacent: beside each other
opposite: across from each other
supplementary: add to be 180°
equilateral: all sides are the same length
equiangular: all angles have the same measure
Definition:
Shape:
A quadrilateral with
2 distinct pairs of
adjacent congruent
sides
Kite
Side Properties:
Angle Properties:
Two pairs of
Congruent Sides
non – vertex angles
are congruent
Definition:
Shape:
A quadrilateral with
exactly one pair of
parallel sides.
Trapezoid
Side Properties:
Angle Properties:
The two parallel sides Consecutive angles
are called bases.
between the bases
are supplementary.
Definition:
Shape:
A trapezoid with
two congruent legs
Isosceles Trapezoid
Side Properties:
Angle Properties:
Non - parallel sides
are congruent
Both sets of base
angles are congruent
Definition:
Shape:
A quadrilateral
with two sets of
parallel sides
Parallelogram
Side Properties:
Angle Properties:
Opposite sides are
congruent
Opposite angles are
congruent
Adjacent angles are
supplementary
Definition:
Shape:
An equilateral
parallelogram
Rhombus
Side Properties:
Angle Properties:
All sides congruent Opposite angles are
congruent, adjacent
angles
supplementary
Definition:
Shape:
An equiangular
parallelogram
Rectangle
Side Properties:
Angle Properties:
opposite sides are
congruent
All angles are
congruent (90°)
Definition:
Shape:
An equilateral,
equiangular
parallelogram
Square
Side Properties:
Angle Properties:
All sides are
congruent
All angles are
congruent
Now lets fill in the following flow chart! Drag them to the
correct spots!
Quadrilateral
Kite
Trapezoid
Parallelogram
Isosceles Trapezoid
Square
Rectangle
Rhombus
Name the shape as specifically as possible.
Name all the possible quadrilaterals described by the statements.
1. has four right angles
2. has four sides
3. has only one pair of congruent sides
4. has two pairs of congruent sides
5. has all adjacent sides perpendicular
6. has two pairs of parallel sides
7. has all four sides congruent
8. has no parallel sides
9. has exactly one pair of parallel sides
Determine whether the following statements are true or false.
10. A square is always a rectangle.
11. An isosceles trapezoid is always a quadrilateral.
12. A rectangle is always a trapezoid.
13. A rectangle can never be a rhombus.
14. A kite is a rhombus.
15. A rhombus is always a parallelogram.