Name: ________________________ Class: ___________________ Date: __________
ID: A
Math 6 Study Guide - Polygons & Congruence
Multiple Choice
Identify the choice that best completes the statement or answers the question. You may use a calculator if needed.
Identify each polygon. Then tell if it is a regular polygon.
____
____
____
1.
a.
b.
quadrilateral, regular
hexagon, not regular
c.
d.
quadrilateral, not regular
octagon, not regular
a.
b.
pentagon, regular
pentagon, not regular
c.
d.
hexagon, not regular
octagon, not regular
a.
b.
decagon; regular
decagon; not regular
c.
d.
stargon; not regular
pentagon; regular
2.
3.
1
Name: ________________________
____
____
____
ID: A
4.
a.
b.
decagon; regular
decagon; not regular
c.
d.
nonagon; not regular
heptagon; regular
a.
b.
octagon; regular
decagon; regular
c.
d.
octagon; not regular
nonagon; not regular
a.
b.
heptagon; regular
octagon; regular
c.
d.
nonagon; not regular
octagon; not regular
5.
6.
2
Name: ________________________
____
ID: A
7.
a.
b.
pentagon; regular
hexagon; not regular
c.
d.
hexagon; regular
heptagon; not regular
Classify each triangle by its sides.
____
____
8.
a.
scalene
b.
isosceles
c.
equilateral
d.
acute
a.
right
b.
isosceles
c.
scalene
d.
equilateral
9.
3
Name: ________________________
ID: A
Classify each triangle by its angles.
____ 10.
a.
equilateral
b.
equiangular
c.
obtuse
d.
right
right
d.
equiangular
____ 11.
a. obtuse
b. isosceles
c.
____ 12. Classify the triangle by its angles and by its sides.
a.
b.
right isosceles
acute scalene
c.
d.
4
acute isosceles
obtuse isosceles
Name: ________________________
ID: A
Find the value of x in each triangle.
____ 13.
a.
43°
b.
248°
c.
68°
d.
112°
Fine the value of x in the triangle. Then classify the triangle as acute, right, or obtuse.
____ 14.
a.
b.
78°, obtuse
93°, right
c.
d.
82°, obtuse
83°, acute
a.
b.
34°, acute
134°, obtuse
c.
d.
44°, right
54°, acute
____ 15.
5
Name: ________________________
ID: A
Classify each quadrilateral using the name that best describes it.
____ 16.
a.
b.
quadrilateral
square
c.
d.
rhombus
trapezoid
Classify each quadrilateral with the name that best describes it.
____ 17.
a.
quadrilateral
b.
trapezoid
c.
rhombus
d.
square
a.
rhombus
b.
rectangle
c.
quadrilateral
d.
square
____ 18.
6
Name: ________________________
ID: A
____ 19.
a.
b.
quadrilateral
rectangle
c.
d.
trapezoid
parallelogram
a.
b.
rhombus
rectangle
c.
d.
quadrilateral
parallelogram
____ 20.
Determine whether each statement is sometimes, always, or never true.
____ 21. A trapezoid is a quadrilateral.
a. sometimes
b. always
____ 22. A quadrilateral is a rhombus.
a. sometimes
b. always
____ 23. A rectangle is a parallelogram.
a. sometimes
b. always
____ 24. A rectangle is a trapezoid.
a. sometimes
b. always
____ 25. A parallelogram is an isosceles triangle.
a. sometimes
b. always
7
c.
never
c.
never
c.
never
c.
never
c.
never
Name: ________________________
ID: A
Find the value of x. Then find the missing angle measures.
____ 26.
a.
b.
39; 39°
61; 61°
c.
d.
59; 59°
169; 169°
a.
b.
176; 176°
87; 87°
c.
d.
67; 67°
89; 89°
____ 27.
8
Name: ________________________
ID: A
Determine whether the polygons shown are congruent. If so, name the corresponding parts and write a
congruence statement.
____ 28.
a.
b.
Not congruent
∆PML ≅ ∆ONM
c.
d.
∆LMP ≅ ∆NMO
∆MLP ≅ ∆OMN
a.
BADC ≅ SRQT
c.
ABCD
b.
ABCD
d.
ABCD ≅ QRST
____ 29.
QTSR
QTSR
Tell whether each pair of figures is congruent, similar, or neither.
____ 30.
a.
congruent
b.
similar
c.
9
neither
Name: ________________________
ID: A
____ 31.
a.
congruent
b.
similar
c.
neither
a.
congruent
b.
similar
c.
neither
____ 32.
Find the perimeter of each figure.
____ 33.
a.
b.
21 ft
42 ft
c.
d.
10
160 ft
80 ft
Name: ________________________
ID: A
____ 34.
a.
b.
31.8 cm
56.18 cm2
3
c.
d.
63.6 cm
15.9 cm
5
____ 35. rectangle: l = 6 4 m, w = 4 8 m
a.
22 4 cm
3
c.
11 8 cm
3
b.
31 32 cm2
7
d.
45 2 cm
c.
d.
14 ft2
40 ft
1
Find the area of each rectangle.
____ 36.
a.
b.
48 ft2
28 ft
11
Name: ________________________
ID: A
____ 37.
a.
b.
93.8 yd
42 yd
3
c.
d.
98 yd2
95.81 yd2
1
____ 38. l = 5 4 m, w = 3 2 m
a.
18 2 m
1
c.
20 8 m2
b.
9 4 m2
d.
17 4 m
1
1
1
Find the area of each figure. Round to the nearest tenth if necessary.
____ 39.
a. 120 yd2
b. 240 yd2
____ 40. triangle: base, 7.9 mm; height, 9 mm
a. 142.2 mm2
b. 35.6 mm2
c.
d.
23 yd2
130.4 yd2
c.
d.
71.1 mm2
8.5 mm2
12
Name: ________________________
ID: A
Find the area of each figure to the nearest tenth.
____ 41.
a. 32 ft2
b. 40 ft2
____ 42. Find the perimeter of this figure:
a.
b.
14 ft2
48 ft2
c.
d.
36.5 ft2
62 ft2
c.
d.
48 ft
14 ft
13