Download Assignment 6D

Geometry
Assignment 6D
1.
Name: _________________________
Period: _____ Date: ______________
Show the relationships of special
quadrilaterals by identifying
where the labels Kites, Squares,
and Trapezoids go in the given
Venn diagram.
4.
Show the relationships of
special quadrilaterals by
identifying where the labels
Rectangles, Parallelograms, and
Rhombuses go in the given
Venn diagram.
Quadrilateral
s
Quadrilaterals
Parallelograms
I?
I
Rhombuses
Rectangle ?
s
II ?
II
III ?
III ?
?
2.
Squares
Kites
Show the relationships of
special quadrilaterals by
identifying where the labels
Parallelograms, Quadrilaterals,
and Squares go in the given
Venn diagram.
5.
I?
Trapezoids
Show the relationships of
special quadrilaterals by
identifying where the labels
Parallelograms, Rhombuses,
and Squares go in the given
Venn diagram.
II ?
Quadrilaterals
III. ? Rhombuses
I?
Rectangle
s
Kites
II
Trapezoids
III ?
Rectangles ?
3.
Show the relationships of
special quadrilaterals by
identifying where the labels
Quadrilaterals, Kites, and
Trapezoids go in the given Venn
diagram.
Kites
I?
Parallelograms
SquaresRhombuses
Rectangles
II
?
Created 6/2010
III ?
Page 1
Trapezoids
Geometry
Assignment 6D
6.
Use slope and/or distance
formula to determine the most
precise name for the
quadrilateral with the vertices at
(0, 0), (0, 2), (5, 5), (2, 0).
7.
Use slope and/or distance
formula to determine the most
precise name for the
quadrilateral with the vertices at
(1, 1), (5, 1), (4, 8), (2, 8).
Created 6/2010
Name: _________________________
Period: _____ Date: ______________
8.
Use slope and/or distance
formula to determine the most
precise name for the
quadrilateral with the vertices at
(1, 7), (5, 9), (8, 3), (4, 1).
9.
Use slope and/or distance
formula to determine the most
precise name for the
quadrilateral with the vertices at
(0, 7), (4, 8), (5, 2), (1, 1).
Page 2
Geometry
Assignment 6D
10.
Use slope and/or distance
formula to determine the most
precise name for the
quadrilateral with the vertices at
(5, 1), (9, 6), (5, 11), (1, 6).
11.
Name: _________________________
Period: _____ Date: ______________
For 17 – 22, name all the special
quadrilaterals that satisfy the given
condition.
17.
EXACTLY ONE PAIR OF
OPPOSITE ANGLES ARE
CONGRUENT.
18.
ALL ANGLES ARE
CONGRUENT.
19.
DIAGONALS ARE
PERPENDICULAR.
20.
DIAGONALS ARE
CONGRUENT.
21.
DIAGONALS BISECT
EACHOTHER.
22.
HAVE FOUR RIGHT ANGLES.
23.
Which of the following is
always true?
a) A trapezoid is isosceles
b) A trapezoid has congruent
base angles
c) A trapezoid has one pair of
parallel sides
d) A trapezoids diagonals
bisect each other
True of False? If false provide
a counterexample.
Some parallelograms are
rhombuses.
12.
True of False? If false provide
a counterexample.
No rhombuses are trapezoids.
13.
True of False? If false provide
a counterexample.
24.
Some trapezoids are kites.
14.
a)
b)
c)
d)
True of False? If false provide
a counterexample.
All squares are rhombuses.
15.
True of False? If false provide
a counterexample.
Some kites are squares.
16.
25.
True of False? If false provide
a counterexample.
Page 3
A rectangle is a rhombus
A rectangle is a square
A square is a rhombus
A rhombus is a rectangle
Which of the following is
always true?
a)
b)
c)
d)
Some rhombuses are squares.
Created 6/2010
Which of the following is
always true?
A kite is a trapezoid
A square is a rectangle
A rectangle is a trapezoid
A rhombus is a kite
Geometry
Assignment 6D
26.
27.
Name: _________________________
Period: _____ Date: ______________
What is the distance between
the points (-1, 0) and (0, 7)?
Round your answer to the
nearest tenth.
32.
Given the following triangle:
126o
x
Given the following parallel lines
in the diagram:
y
What is the value of x and y?
(x - 28)

33.
Using the drawing of ∆ABC,
sketch the median to AC.
34.
If the following premises are
true, what conclusion can you
reach?
6(x + 6)
What is the value of the
variable?
28.
Given the following equation:
4x -10 = -6x +4
29.
What is the value of the
variable?
Quadrilateral ABCD has no
parallel sides.
Given the following equation:
Quadrilateral ABCD has two
pairs of consecutive sides that
are congruent.
–3(5 – 5x) = 10(3x + 4)
What is the value of the
variable?
30.
Given the diagram below,
WXY is a straight angle.
Given the following proportion:
8 –2

x
3
What is the value of the
variable?
31.
35.
E
Y
C
D
X
W
If mZXY  81˚, then what
is mWXZ ?
Given the following proportion:
3 x –5

2
x
What is the value of the
variable?
Created 6/2010
Z
B
Page 4