Study Guide: Polygon Identification
1) I am a four sided figure. My top two adjacent sides are both 3 cm long. My
bottom two adjacent sides are both 5 cm long. What figure am I? Draw an
example of this figure.
Kite
2) I am a four sided figure with all four sides congruent. What could I be? Draw all the
possibilities.
Square or rhombus
3) I have no right angles, four sides, one pair of opposite sides are parallel. The other two
sides are congruent. What am I? Draw me!
Trapezoid
4) I have five sides and all sides are the same length. All angles have the same measure also.
Give the best name for me.
Regular pentagon
5) I am a four sided figure. All sides are congruent. One pair of opposite angles are obtuse
and congruent, and the other pair of opposite angles is acute and also congruent. What am
I?
Rhombus
6) In problem 5, what shape would I be if my angles were all 90 degrees?
Square
Square – example
Rectangle
# Sides: 4
# Sides: ____4__
Congruent sides: yes all 4 congruent
Congruent sides: opposite sides congruent
Parallel sides: yes - opposite sides
Parallel sides: yes - opposite sides
Angles: all 90 degrees
Angles: all 90 degrees
Total measure of all angles: 360
Total measure of all angles360
Parallelogram
Rhombus
# Sides: 4
# Sides: 4
Congruent sides: opposite sides
Congruent sides: all four sides
Parallel sides: opposite sides
Parallel sides: opposite sides
Angles: opposite angles congruent
Angles: opposite angles congruent
Total measure of all angles: 360
Total measure of all angles: 360
Trapezoid
Kite
# Sides: 4
# Sides: 4
Congruent sides: none necessary
Congruent sides: 2 pairs of adjacent = sides
Parallel sides: only one set of opposite sides Parallel sides: Nothing specific
Angles: Nothing specific
Angles: Nothing specific
Total measure of all angles: 360
Total measure of all angles: 360
These shapes belong to the parallelogram family because opposite sides are congruent
and parallel:
1) Rhombus
2) Square
If a rhombus has all right angles, it is also known as a square. If a rectangle with all right
angles also has four equal sides, it is known as a square.
Vocabulary Matching: Connect the definition to the proper term
a. Complementary
r Formed by 2 rays
b. Supplementary
t 6 sided polygon
c. Isosceles triangle
u 8 sided polygon
d. Acute equilateral triangle
x 10 sided figure
e. Obtuse angle
w 9 sided figure
f. Right angle
s 1 angle that measures 180˚
g. Scalene triangle
a 2 angles that together form 90˚
h. Polygon
c A triangle that has two equal sides
i. Regular
i All sides and angles are equal
j. Quadrilateral
k 5 sided polygon
k. Pentagon
j 4 sided polygon
l. Kite
d A triangle with 3 equal sides and angles
m. Trapezoid
q A line with one end point
n. Rhombus
p A parallelogram with all right angles
o. Square
o A rectangle with 4 equal sides
p. Rectangle
m A quadrilateral w/one pair of parallel sides
q. Ray
e An angle greater than 90˚ but less than 180˚
r. Angle
f An angle with exactly 90˚
s. Straight angle
g A triangle with no congruent sides
t. Hexagon
h A closed, simple shape of at least 3 sides
u. Octagon
v A 7 sided polygon
v. Heptagon
n A parallelogram w/4 congruent sides, any angle
w. Nonagon
l A quadrilateral with adjacent sides congruent
x. Decagon
b 2 angles that together form 180˚
1) Which shape is NOT a parallelogram?
a)
b)
c)
d)
c)
d)
2) Which shape has all congruent sides?
a)
b)
3) Which shape does not have opposite angles and sides congruent?
a)
b)
c)
d)
4) Which shapes appear to be congruent?
a)
b)
c)
d)
5) Which shape is most likely NOT a rhombus?
a)
b)
c)
d)