Download Space: Extends in all directions indefinitely Plane: A flat surface that

Space: Extends in all directions indefinitely
Plane: A flat surface that extends indefinitely.
Point: Has no length, no width, and no height, but it does have a location.
Line: A set of points extending indefinitely in two directions.
Segments Line, A piece of a line with two endpoints.
AB
A
Rays Line, A part of a line with one endpoint. A
named < ABC =< CBA or < x
Angles Made
up of two rays
Rays BA and BC are sides of the
that share the
angle
same
Measure an angle :The unit of
endpoint.
measurement is degree. Intersecting
line: When two lines meet at a point,
they are called intersecting lines. the
lines CD and AB meet at point
B
Line segment AB or
B Ray AB or AB
Transversal: A line that intersects two or
more lines at different points.. If two
parallel lines are cut by a transversal,
then the measures of corresponding
angles are equal and the measures of
the alternate interior angles are equal.m
|| n, find the measures of x, y, and z.
Vertex (The
common endpoint
of an angle)B.
Angles can be
Classifying Angles
Straight angle
Right angle
Acute \ə-ˈ kyüt\ angle
measure is between 0° and
90°.
Two angles are said to be
complementary the summation of
their value gives 90 degrees
Obtuse angle measure is
between 90° and 180°.
If b = 110° then what
would be the value of k?
< x + < y = 90 
When the values of two angles add
up to 180 degrees they are called
supplementary
angles < 40  + < 140  = 180 
Hw 8.1)1-55
Plane figure ˈ plān\ ˈ fi-gər\: A figure with length and width, but no thickness or depth, that lies on a plane.
Polygon: \ˈ pä-lē-ˌ gän\ A closed plane figure that basically consists of
three or more line segments that meet their end points
Regular polygon : A closed plane figure whose sides are all the same
length and whose angles are the same measure.
Identifying Plane Figures
Triangle \ˈ trī-ˌ aŋ-gəl\ ------------Triangle Classification
Equilateral : \ˌ ē-kwə-ˈ la-tə-rəl,
ˌ e-, -ˈ la-trəl\ All three sides are
the same length. Also, all three
angles have the same measure
Isosceles \ī-ˈ säs-ˌ lēz, -ˈ sä-sə-\ Two
sides are the same length.
Scalene : \ˈ skā-ˌ lēn, skā-ˈ \ A
triangle having three sides of
different lengths.
No
The angles opposite the equal sides
have equal measure.
angles have the same measure.
Rectangle ˈ rek-ˌ taŋ-gəl\ A four-sided
polygon having all right angles.
Parallelogram \ˌ pa-rə-ˈ le-lə-ˌ gram\ A
four-sided polygon with two pairs of
parallel sides.
The angles of an equilateral
triangle all measure 60 degrees
Quadrilateral \ˌ kwä-drə-ˈ la-t(ə)rəl\ A four-sided polygon.
The sum of the angles of a rectangle is 360
degrees.
The sum of the angles of a
quadrilateral is 360 degrees.
Rhombus \ˈ räm-bəs\ A four-sided
polygon having all four sides of equal
length.
The sum of the angles of a rhombus is
360 degrees.
Pentagon
Hexagon \ˈ hek\ˈ pen-tə-ˌ gän\
sə-ˌ gän\ A sixA five-sided
sided
A regular
pentagon
The sum of the angles of a parallelogram is
360 degrees.
Tapezoid \ˈ tra-pə-ˌ z id\ A four-sided polygon having exactly one pair of parallel sides. The two sides
that are parallel are called the bases of the trapezoid.
The sum of the angles of a trapezoid is 360 degrees.
Heptagon \ˈ hep-təˌ gän\
A seven-sided
polygon
Octagon \ˈ äk-təˌ gän\ An eightsided polygon
Nonagon ˈ nō-nəˌ gän\ A ninesided polygon
Decagon \ˈ de-kə-ˌ gän\
A ten-sided polygon
Circle: circle is the collection of points in a plane that are all the same distance from a fixed point. The
fixed point is called the center The blue line is the Radius\ˈ rā-dē-əs\ r, and the collection of red
points is the circle.
Diameter \dī-ˈ a-mə-tər\= 2 × Radius
Identifying Solid Figures -------Solid\ˈ sä-ləd\A figure that lies in space and has length, width, and height or
depth.
Rectangular
solid: A solid
that consists of
six sides, or
faces, all of
which are
rectangles.
Cube: A
rectangular
solid whose six
sides are
squares
Pyramid: The
pyramids we
will study have
square bases
and heights that
are
perpendicular to
their base.
Sphere: \ˈ sfir\
Consists of all
points in space
that are the
same distance
from a point c,
called the center
of the sphere.
Radius: The
distance from the
center to the
sphere.
Diameter: The
distance across
the sphere
passing through
the center.
Cylinders: \ˈ silən-dər\ The
cylinders we will
study are in the
shape of circles
and have heights
that are
perpendicular to
their base.
Cones: \ˈ kōn\
The cones we
will study have
bases that are
circles and
heights that are
perpendicular
to their base.
 Volume
 § 8.6 Square Roots and the
square root of 144. 144 = 12 or 12
because 12 ⋅ 12 or 12 2 = 144
1
144 is a perfect square because its square root is a whole number or a fraction
Approximate 2ap·prox·i·mate the square root of 17 by using Appendix A.6 or a calculator
2
17 ≈ 4.123 because (4.123) ≈ 17
The square root of 17 must be approximated because it is not a perfect square
 Pythagorean \pə-ˌ tha-gə-ˈ rē-ən, (ˌ )pī-\ Theorem
(leg) 2 + (other leg) 2 = (hypotenuse) 2
(leg) 2 + (other leg) 2 = (hypotenuse) 2
hypotenuse = (leg) 2 + (other leg) 2
leg = (hypotenuse) 2 − (other leg) 2
 Congruent and Similar Triangles