Transcript 1.) Do I Exist? You have to be able to explain why or why not!

9-3: Classifying
Polygons Logic
Activity
#1) Do I Exist? Explain why or
why not!
•I am a trapezoid
•I have two angles that each measure
45˚
•I have two other angles that each
measure 135˚
#1) Answer:
Yes!
•A trapezoid can have 2 acute
angles and 2 obtuse angles, as
long as the angles add up to 360˚.
• 135(2) + 45(2) = 360˚
#2) Do I Exist? Explain why or
why not!
•I am a parallelogram
•I have angles measuring:
100˚, 105˚, 65˚, and 90˚
#2) Answer:
No!
•Parallelograms need to have two
pairs of equal angles.
#3) Do I Exist? Explain why or
why not!
•I am a rhombus, quadrilateral,
and parallelogram all at the same
time!
#3) Answer:
Yes!
•A rhombus is a quadrilateral
because it has 4 sides.
•A rhombus is a type of
parallelogram with 4 equal sides.
#4) Do I Exist? Explain why or
why not!
•I have to be a square if I’m a
parallelogram and all of my sides
are the same length.
#4) Answer:
No!
•I could also be a rhombus!
#5) Do I Exist? Explain why or
why not!
•I am a scalene triangle with
angles measuring:
75˚, 35˚ and 70.5˚
#5) Answer:
No!
•The sum of the angles exceed
180˚ and a triangle measures
exactly 180˚ inside.
#6) Do I Exist? Explain why or
why not!
•I am a scalene triangle with side
lengths of 14 inches, 4 inches,
and 2 inches.
#6) Answer:
No!
•If you draw the triangle, the
sides cannot connect with the
given measurements!
#7) Do I Exist? Explain why or
why not!
•I am an isosceles triangle with
angle measurements of:
50˚, 50˚ and 80˚
#7) Answer:
Yes!
•Isosceles triangles need to have
3 angles which add up to 180˚
•Two of the angles need to be
congruent
#8) Do I Exist? Explain why or
why not!
•I can be a rectangle,
parallelogram, quadrilateral, and a
regular polygon all at the same
time.
#8) Answer:
Yes!
•A rectangle is 4-sided
•A rectangle has opposite angles
and sides congruent
•A rectangle has both pairs of
opposite sides parallel
#9) Do I Exist? Explain why or
why not!
•All rectangles are squares.
#9) Answer:
No!
•A rectangle may not be a square
because all of the sides may not
be congruent
#10) Do I Exist? Explain why or
why not!
•All squares are rectangles.
#10) Answer:
Yes!
•A rectangle is a parallelogram
whose sides intersect at 90°
angles.
•A rectangle is a parallelogram
with opposite sides congruent.
#11) Do I Exist? Explain why or
why not!
•A square is a rhombus.
#11) Answer:
Yes!
•A square is a four-sided shape
•A square has all sides congruent
•Opposite sides are parallel
•Opposite angles are equal
#12) Do I Exist? Explain why or
why not!
•A trapezoid can be a
parallelogram.
#12) Answer:
No!
•A trapezoid does not have two
pairs of parallel sides, only one.
#13) Do I Exist? Explain why or
why not!
•Every parallelogram is made up of
two triangles.
#13) Answer:
Yes!
•180˚ + 180˚ = 360˚
•Draw any quadrilateral, and you
can divide it into 2 triangles