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492
Chapter 9 An Introduction to Geometry
Check Your Knowledge
1.
they are
lines do not intersect. If two lines intersect and form right angles,
.
2. A polygon with four sides is called a
.A
is a polygon
with three sides.
3. A triangle that includes a 90 angle is called a
of such a triangle is the
triangle. The longest side
.
4. Triangles that are the same size and the same shape are called
triangles. If two triangles are the same shape but not necessarily the same size,
they are called
triangles.
5. The distance around a polygon is called the
surface enclosed by a polygon is called its
. The measure of the
.
6. A segment drawn from the center of a circle to a point on the circle is called
a
A
. The distance around a circle is called its
is a chord that passes through the center of a circle.
.
7. The space contained within a geometric solid is called its
8. Match the descriptions with the angles.
a. 37
I. right angle
b. 90
II. straight angle
c. 125
III. acute angle
d. 180
IV. obtuse angle
9. In the notation ABC, which point is the vertex
z°
76°
.
of the angle?
PROBLEM 10
4y°
y°
PROBLEM 11
10.
11.
12.
13.
Refer to the illustration on the left. Find z.
Refer to the illustration on the left. Find y.
Find the supplement of an angle measuring 119.
Refer to the illustration, in which the horizontal
lines are parallel.
a. Find m(1).
c. Find m(3).
e. Find x.
b. Find m(2).
d. Find m(4).
50°
(x + 55)°
1
2
3
4
14. If the measure of one angle of a triangle is 45 and
the measure of another is 55, what is the measure of the third angle?
15. A rectangle is 12 ft long and 5 ft wide.
a. Find length of the diagonal of the rectangle.
b. Find the area of the rectangle.
16. Find the area of a triangle with base 4.5 in. and height 7.8 in.
17. Find the area of a circle if the diameter is 10 ft.
18. Find the volume of a sphere that is 4 ft in diameter.
19. Find the volume of a rectangular solid with length 5 ft, width 4 ft, and height
10 ft.
20. Find the volume of a cylinder 8 ft in diameter and 10 ft tall.
2