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Guided Notes for Lesson 1.1
 Three building blocks of geometry are
.
 A
,
, and
is the most basic building block. It has no size, only
.
 A
is a straight, continuous arrangement of infinitely many
points. It has indefinite
but no
.
 A
has length and width, but no
. It is like
a flat surface that extends
along its length and width.
 A
is a statement that clarifies or explains the
meaning of a word or a phrase.

means on the same line.

means on the same plane.
 A
consists of two points called the
of the segment and all
between them are collinear
with the two
.
 Two segments are
segments if and only if they
have the same measure or length.
 The
of a segment is the point on the segment that is
the same distance from both
. The midpoint
the segment, or divides the segment into two
segments.
 A
begins at a point and extends infinitely in one
direction.
Guided Notes for Lesson 1.2
 An
is formed by two rays that share a common
endpoint, provided the two rays are noncollinear. The common
endpoint is the
of the angle. The two rays are the
of the angle.
 The
is the smallest amount of
about the vertex from one ray to the other, measured in
. It can be any value between 0° and 180°.
 The geometry tool used to measure an angle is a
 Two angles are
same measure.
 A ray is the
divides the angle into two
.
angles if and only if they have the
if it contains the vertex and
angles.
Guided Notes for Lesson 1.3
 A
is an example that contradicts a definition.
 Beginning steps to creating a good definition
1.
your term.
2.
your term.
3.
your definition by looking for a counterexample.
 Two lines that do not intersect and are non-coplanar are
lines.
 A
angle is an angle that measures 90°.
 An
angle is an angle that measure less than 90°.
 An
angle is an angle that measure more than 90° but less
than 180°.

angles are angles formed by two intersecting lines;
they share a common vertex, but not a common side.
 Two angles are a
if they share a
common side and their non-common sides form a
 A pair of
angles has a sum of 90°.
 A pair of
angles has a sum of 180°.
and a
.
Guided Notes for Lesson 1.4
 A
is a closed figure in a plane, formed by connecting line
segments endpoint to endpoint with each segment intersecting
exactly two others.
 Each endpoint where the sides meet is called a
polygon.
 You classify a polygon by the number of
 A
of a polygon is a line
non-consecutive vertices.
of the
is has.
that connects two
 A polygon is
if no diagonal is outside the polygon.
 A polygon is
polygon.
if at least one diagonal is outside the
 Two polygons are
exactly the same size and
polygons if and only if they are
.
 In an
, all the sides have equal length.
 In an
, all angles have equal measure.
 A
is both equilateral and equiangular.
Guided Notes for Lesson 1.5
 To
something is to accept it as true without facts or proof.
 A
triangle has one right angle.
 An
triangle has three
 An
triangle has one obtuse angle.
 A
triangle is a triangle with no congruent sides.
 An
triangle has three congruent sides.
 An
triangle has at least two congruent sides.
angles.
 In an isosceles triangle, the angle between the two sides of equal
length is called the
angle.
 The side opposite the
the isosceles triangle.
angle is called the
of
 The two angles opposite the two sides of equal length are called
the
of the isosceles triangle.
 A
is a quadrilateral with exactly one pair of parallel sides.
 A
is a quadrilateral with two distinct
consecutive congruent sides.
 A
sides.
 A
 A
of
is a quadrilateral with two pairs of
is an equilateral parallelogram.
is a parallelogram with four
angles.
 A
and a
is an equilateral rectangle, an
quadrilateral.
rhombus,
Guided Notes for Lesson 1.6
 A
is the set of all points in a plane at a given distance
(radius) from a given point (center) in the plane.
 A segment from the center to appoint on the edge of the circle is
called a
.
 The
is a line segment containing the center with its
on the circle.
 If two or more circles have the same radius, they are
circles.
 If two or more coplanar circles share the same center, they are
.
 An
of a
is two points on the circle and the
continuous part of the circle between the two points, which are
called
.
 A
is an arc of a circle whose endpoints are the
endpoints of a diameter.
 A
semicircle.
is an arc of a circle that is smaller than a
 A
semicircle.
is an arc of a circle that is larger than a
 You find the arc measure by measuring the
, which is
the angle with its vertex at the
of the circle and sides
passing through the endpoints of the arc.
 A
is a line segment whose endpoints lie on the circle.
 A
is a chord that passes through the
chord.
and is the
 A
is a line that intersects the circle only once. The point
where this line touches the circle is called the
of
.
Guided Notes for Lessons 1.7 and 1.8
 Sometimes there is more than one point (or even many points) that
satisfy a set of conditions. The set of points is called a
of
points.

is the set of all points. It cannot be contained in a flat
surface.