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Geometry
Unit 10 Corrective 2
Revised Summer 08
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Competency 1: Angle Measures in
Polygons
1.
Find the sum of the interior
angles of a convex 23-gon.
2.
Use the given information in
each drawing to find the value of
x, y and z.
Competency 2: Area of 2D Geometric
Shapes (part 1)
6.
The perimeter of a rectangle is
40 inches and the base is 17
inches. What is the area?
7.
A square and a rectangle have
equal areas. If the rectangle is
18 cm by 8 cm, what is the
perimeter of the square?
8.
Find the area of the shaded
portion of the following figure to
the nearest tenth.
9.
Find the area of the following
right triangles. (nearest tenth)
x
2x + 25
2x + 15
2x + 5
(2y + 10)°
(2y – 5)°
(2y – 5)°
(y + 30)°
(y + 30)°
z°
(2z – 27)°
(2z – 80)°
(z + 2)°
(z – 4)°
a)
b)
15 2 m
(2z – 26)°
15 cm
3.
If the measure of an interior
angle of a regular polygon is
150˚, How many sides are
there?
4.
The measure of an exterior
angle of a regular polygon is 60˚,
how many sides does the
polygon have?
5.
Find the measure of an interior
and an exterior angle of a
regular 11-gon. If necessary,
round to the nearest tenth.
Page 1 of 4
10.
The following polygons are
similar.
a) What is the ratio of the
perimeters?
b) What is the ratio of the
areas?
© Mastery Mathematics
30˚
Geometry
Unit 10 Corrective 2
15.
Competency 3: Area of 2D Geometric
Shapes (part 2)
11.
Find the area of the triangle.
Revised Summer 08
Find the area of the following
figure to the nearest tenth. All
angles that appear to be right
angles are right angles.
10 cm
y
x
26 cm
Competency 4: Area of Regular
Polygon, Circle, Sector, and Segment
12.
13.
Find the area of the
parallelogram.
16.
Find the area of the regular
hexagon to the nearest tenth.
17.
Find the area of the circle to the
nearest tenth.
Find the area of the trapezoid.
14 m
14.
Find the area of the trapezoid. If
necessary, write your answer in
simplest radical form.
23 yd
18.
The diameter of circle A is 4
times as long as the diameter of
circle B. Briefly describe how
the areas of the two circles
compare.
19.
Find the area of the shaded
sector. Leave your answer in
terms of π.
22 yd
140°
30°
3 km
35 yd
Page 2 of 4
© Mastery Mathematics
Geometry
20.
Unit 10 Corrective 2
Find the area of the shaded
segment to the nearest hundredth.
Revised Summer 08
24. Multiple Choice Find the radius of a
circle with a circumference of 27.5 m.
Round to the nearest hundredth.
12 m
Competency 5: Standardized Practice
21.
Multiple Choice A convex hexagon
has interior angles that measure 140o,
150o, 150o, and 160o. What is the
measure of the sixth angle?
25. Multiple Choice Find the
circumference of a circle whose area is
20m2. Round to the nearest tenth.
22.
23. Multiple Choice What is the ratio of
the area of the larger heptagon to the area of
the smaller heptagon in Problem #22?
Page 3 of 4
© Mastery Mathematics
Geometry
Unit 10 Corrective 2
Revised Summer 08
ANSWERS
1.
3780˚
16.
10.4 square units
2.
x = 45, y = 60, z = 95
17.
615.8 cm2
3.
12 sides
18.
4.
6 sides
The area of circle A will be 16
times as large as the area of
circle B.
5.
interior 147.3˚, exterior 32.7˚
6.
51 square inches
7.
perimeter = 48 cm
8.
270.9 in2
9.
a) 112.5 in2
10.
a)
6
7
b) 48.7 cm2
b)
11.
15 units2
12.
345 ft2
13.
248.5 mm2
14.
319 square yards
15.
388.5 cm2
Page 4 of 4
36
49
19.
7
 km2
2
20.
41.10 cm2
21.
A
22.
B
23.
A
24.
B
25.
C
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