Download Assignment 6B

Geometry
Assignment 6B
Name: _____________________________
Period: _____ Date: _________________
Each figure is a parallelogram. Identify the special type and explain your reasoning.
1.
2.
3.
4.
5.
Match the properties of a quadrilateral with ALL of the types of quadrilateral which have
that property.
6. The diagonals are congruent.
A. Parallelogram
7. Both pairs of opposite sides are congruent.
B. Rectangle
8. Both pairs of opposite sides are parallel.
C. Rhombus
9. All angles are congruent.
D. Square
10. All sides are congruent.
11. Diagonals bisect the angles.
Decide whether the statement is sometimes, always, or never true.
12. A rhombus is an equilateral.
13. The diagonals of a rectangle are perpendicular.
14. A square is a rectangle.
15. The consecutive angles of a square are supplementary.
16. The opposite angles of a rhombus are supplementary.
Created 6/2010
Page 1
Geometry
Assignment 6B
Name: _____________________________
Period: _____ Date: _________________
For numbers 17 – 21, find the values of
the variables in each quadrilateral.
17.
For numbers 22 – 25, find the values of
the sides of the given quadrilaterals.
y+1
22.
A
x+1
D
23.
A
18.
2v
4y
C
x + 10
2x - 3
B
15 – 6y
3y
150 - u
150 – v
2u
B
3y + 11
y
2x
x
D
C
3x
24.
19.
2x
4y - 1
2a
a+5
3-2y
2b + 5
25.
x
20.
3x
6y
2y + 11
x+7
26.
21.
5x
2y
Created 6/2010
y + 23
3x - 11
Page 2
Using the drawing of ∆EFG,
sketch the altitude to EF.
Geometry
Assignment 6B
27.
Name: _____________________________
Period: _____ Date: _________________
Given the following parallel lines
in the diagram:
31.
Given the following equation:
–2(5 – 3x) = 8(2x + 5)
(5x + 12)°
What is the value of the
variable?
k
32.
(3x + 8)°
m
12x + 17 = 8x – 3
What is the value of the
variable?
n
What is the value of the
variable?
28.
33.
Given the following triangle:
y
x
What is the value of the
variable?
110o
If the following premises are
true, what conclusion can you
reach?
35.
John always listens to music
when he does his homework.
John is doing homework.
In the figure below, BCD is a
right angle.
C
J
B
D
A
K
M
L
If mACD  51 , then what is
the mBCA ?
Created 6/2010
Given the following proportion:
5 x7

3 x2
What is the value of the
variable?
What is the value of x and y?
30.
Given the following proportion:
x
4

12 16
34.
29.
Given the following equation:
Page 3
What is the distance between
(3, -2) and (-1, 0)? Round your
answer to the nearest tenth.