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Test Review 4.2
Geometry
Review for Test
Sections 6.2. & 6.4 – 6.6
Name____________________________
I. Facts you need to know!!
Kites

Trapezoids
 Definition-a quadrilateral with
one pair of parallel sides.
 The consecutive angles between
the bases of a trapezoid are
supplementary.
 In an Isosceles trapezoid the
non-parallel sides are congruent
and both sets of base angles are
congruent.
 The diagonals of an isosceles
trapezoid are congruent.
Midsegment of a Triangle
 Definition-a segment that joins
the midpoints of two sides of a
triangle.
 The midsegment of a triangle is
parallel to the third side.
 The midsegment of a triangle is
one-half the length of the third
side.
 The three midsegments of a
triangle divide the triangle into
four congruent triangles.
Midsegment of a Trapezoid
 Definition-a segment joining the
midpoints of the nonparallel
sides.
 The midsegment of a trapezoid
is parallel to the bases.
 The midsegemnt of a trapezoid
is equal in length to the average
of the two base lengths.
Parallelograms
 Definition-a quadrilateral with
both pairs of opposite sides
parallel.
 The opposite angles are
congruent.
 The consecutives angles are
supplementary.
 The opposite sides are
congruent.
 The diagonals bisect each other.
Rhombuses
 Definition-a parallelogram with
all four sides congruent.
(remember it has all the qualities
of a parallelogram)
 The diagonals are perpendicular
to each other.
 The diagonals bisect the angles
of the rhombus.
Rectangles
 Definition-a quadrilateral with
both pairs of opposite sides
parallel and congruent and four
right angles. (remember it has
all the qualities of a
parallelogram)
 The diagonals are congruent.
 The diagonals bisect each other.
Squares
 Definition-a rectangle with all
four sides congruent. (remember
it has all the qualities of a
parallelogram)
 The diagonals are congruent.
 The diagonal are perpendicular
bisectors of each other.
 The diagonals bisect the angles.




Definition- a quadrilateral with
two sets of consecutive sides
that are congruent
The diagonals of a kite are
perpendicular.
The diagonal connecting the
vertex angles of a kite is
perpendicular bisector of the
other diagonal.
The non-vertex angles of a kite
are congruent.
The vertex angles of a kite are
bisected by a diagonal.
1
2
3
7
4
6
5
II. Name the shapes pictured in the above box.
III. True or False
1 .__________________________
________1. A trapezoid is a parallelogram.
2. __________________________
________2. If a quadrilateral is not a parallelogram, then the opposite sides
are not congruent.
3. _________________________
________3. Every rectangle is a square.
4. _________________________
5. _________________________
________4. A parallelogram with perpendicular diagonals is a rhombus or
a square.
6. _________________________
________5. The diagonals in a kite are perpendicular.
7. __________________________
________6. All quadrilaterals have five sides.
B
A
IV. Refer to
ABCD to answer questions #1-6
1. AB // ____________ 2. DC = __________
3. m  A = ___________
4. OA = ___________
5. DO = ___________
6. AD = ___________
O
D
C
7. A park in the shape of a quadrilateral PQRS is bordered by four sidewalks. Find the measure of each exterior angle
of the park.
P (8x)0
Q
0
(14x)
(7x)0
S
WXYZ is a parallelogram. Find each measure
8. WX = _______
9. YZ = ________
10. m X = _______
(11x)0 R
11. m W = _______
12. Three vertices of parallelogram ABCD are A(-3, 1), B(5, 7), and C(6, 2). Find the coordinates of vertex D.
Use figure to the right for 13 and 14.
GHJK is a rhombus. Find each measure.
13. HJ = _______
14. if m JLH = (4b – 6)o and m JKH = (2b + 11)o, find each measure.
m HJG = _______
m GHJ = _______
In kite EFGH, m FHG = 68o, and m HEF = 62o. Find each measure.
15. m FEJ = _______
16. m EHJ = _______
17. m FGJ = _______
18. m EHJ = _______
19. A dulcimer is a trapezoid-shaped stringed instrument. The bases are 43 in. and 23 in. long. If a string is attached at
the midpoint of each leg of the trapezoid, how long is the string?
Draw a
picture and
label the
drawing
How long is the string? ________________
_________________________
Use figure to the right for 20 and 21.Determine if the conclusion is valid.
If not tell what additional information is needed to make it valid.
20. Given: AB // CD , AB  CD , AC  BD
Conclusion: ABCD is a square.
B
C
A
D
_______________________________________________________________________________________
_______________________________________________________________________________________
21. Given: AB  CD , BC  AD , BA  AD
Conclusion: ABCD is a rectangle.
_______________________________________________________________________________________
_______________________________________________________________________________________
22. SQUARE
A 5x - 17 B
23. RECTANGLE
D
3x - 5
550
C
D
E
AB = _______ mDCA =_____
25. RHOMBUS
perimeter = 82 cm
R
0
y 72
4 3 1
2
F
0
36
T
A
420
w0
D
270
C
3x
Z
WZ = _____
4x
E
x = _____
w = _____ mABC =______
D
0
63
22 ft
F
x= _____ y = _____ z = _____
2y + 12
Y
27. ISOSCELES TRAPEZOID
perimeter = 100 ft.
B
x0
W
x = _____
S
x
24. PARALLELOGRAM
5y - 3
X
9
m1=_____ m2 = _____
m3 = _____ m4 = _____
26. KITE
z+3
Q
G
(9y)0
G
3x - 7
ED = ______ mDEF = ______