Download Which quadrilateral MUST be a parallelogram? A. B. C. D. MKN ∆ ∆

Review for Unit 2D TEST
NAME: _________________
GHIJ are G(0, 0), H(2, 3),
1. Three vertices of
and J(6, 1). Find the coordinates of vertex I.
2. Find the value of x in rhombus DEFG.
3.
Which quadrilateral MUST be a
parallelogram?
A.
B.
C.
4. JKL
D.
MKN , but not drawn to scale. KL is
30 units long and KN is 10 units long. If MN is 12
units long, what is JL ?
K
M
J
N
L
9.
10.
15.
11.
16. Draw the image of the figure after a dilation of
scale factor 4.
12.
17. What value of y makes the two rectangles
similar?
13.
14. Write a two column proof.
Given: WXYZ is a parallelogram
Prove: ∆WVX  YVZ
Statements
1.
2.
3.
4.
WX  YZ
Reasons
1.
2.
3.
4.
 diags. bisect each other.
18. A building 28 feet tall casts a shadow that is 12 ft long. If a fire hydrant is 2 feet tall, how long is the
shadow?
19. Draw ABC with coordinates A(-3, 1), B(2, 0), and C(0, 3). Then, sketch (3x, 3y) and name the new
coordinates.
BDE
20. What other information would you need in order to prove
similarity, given that
BAC using Side-Angle-Side
BD BE

and AC || DE ?
BA BC
A
D
B
E
C
Y
21. Find the value of x.
VW || XZ .
x+2
V
8
W
12
X
16
Z
22.
23. Parallelogram EFGH has vertices E(1, 1), F(4, 5), and H(3, 2). Find the coordinates of vertex G.
I
Y
60◦
24. Are triangles IJK and XYZ similar? Justify your answer.
K
55◦
65◦
J
X
55◦
25. Find the values of x and y given that XZ and YW are diagonals of the parallelogram. *Figure not drawn to
scale.
VX = 5y + 2, VZ = 8y – 7
X
Y
WV = x + 40, VY = 2x + 36
V
W
Z
Z
26.
For problems 27-32, tell whether the statement is TRUE or FALSE.
27. If both pairs of opposite angles of a quadrilateral are
congruent, then the quadrilateral is a parallelogram.
_____________________________
28. If both pairs of opposite sides of a quadrilateral are
parallel, then the quadrilateral is a parallelogram.
_____________________________
29. If an angle of a quadrilateral is supplementary to one of its consecutive angles, then the quadrilateral
is a parallelogram.
_______________________________________________________________________________________
30.If one pair of opposite sides of a quadrilateral are parallel and congruent,
then the quadrilateral is a parallelogram.
_______________________________________________________________________________________
31.If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
_______________________________________________________________________________________
32.In a quadrilateral, if one pair of opposite sides are congruent and one pair of opposite angles are also
congruent, then the quadrilateral is a parallelogram.
_______________________________________________________________________________________
33. ABCD is a rectangle. AD = 15 and AB = 12. Find the perimeter of ABCD.
34. Find the value of x.
35. Write the similarity ratio.
36. Find the length of segment ST.
37. Find the value of x that makes the parallelogram a rhombus.