Download Basic Geometric Terms Point -has no dimension (no length or width

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Transcript
Basic Geometric Terms
Point
Line Segment
Line
Ray
-has no dimension (no
length or width), but
does have a location
-a subset of a line that
contains two endpoints
and all points between
those two points
-straight and extends
indefinitely in both
directions
-subset of a line that has
one endpoint and
extends indefinitely in
the other direction
.
A
.
.
.
.
.
.
A
B
A
B
A
B
Parallel Lines
Perpendicular Lines
Right Angle
Obtuse Angle
-two lines in the same
plane that never
intersect
-two intersecting lines
that form right angles
-an angle whose
measure is 900
-an angle whose
measure is greater than
900 but less than 1800
*sometimes defined only as
greater than 900. In that case
straight and reflex angles
would be considered special
types of obtuse angles.
Acute Angle
Straight Angle
Reflex Angle
-an angle whose
measure is less than 900
-an angle whose
measure is 1800
-an angle whose
measure is greater than
1800
.
.
.
A
B
C
Supplementary Angles
Vertical Angles
Adjacent Angles
-angles whose measures
add to 1800
-when 2 lines intersect,
the angles opposite each
other
-angles that
*share a common vertex
*have a common side
*have interiors that are
disjoint
1
3
<1 and <3 are vertical
angles
Complementary
Angles
-angles whose measures
add to 900
Two-Dimensional Figures
Polygon
Triangle
Trapezoid
Parallelogram
-simple closed curve
made up of line
segments
-polygon with 3 sides
and 3 angles
-a quadrilateral (a foursided polygon) with at
least one pair of parallel
sides
-a quadrilateral with two
pairs of parallel sides
*curve-set of points you
can trace without lifting
your pencil
*simple-never touch a
point more than once
when you trace it
*closed-when you trace
it, the starting and
ending point are the
same
*sometimes defined as
ONLY one pair of parallel
sides
Kite
Rhombus
Rectangle
Square
-a quadrilateral in which
2 pairs of adjacent sides
are congruent
-a parallelogram in
which all sides are
congruent
-a parallelogram in
which all angles are
congruent
-a parallelogram in
which all angles and all
sides are congruent
Convex
Concave
Congruent
-the line segment
connecting any two
points lies within the
region
-if you can draw a line
segment between two
points outside of the
region
-shapes are congruent if
they have the same size
and shape
Radius
Diameter
Chord
-line segment that
connects a point on the
circle to the center (the
orange line on the
diagram)
-line segment that
connects two points on
the circle and passes
through the center (the
green line on the
diagram)
-line segment that
connects two points on
the circle (the red line
on the diagram)
*a diameter is also a chord
Describe the different ways to classify triangles.
Sides
Scalene – no sides have the same length
Isosceles – 2 sides have the same length
Equilateral – all three sides have the same length
Angles
Right – one right angle, 2 acute angles
Obtuse – one obtuse angle, 2 acute angles
Acute – 3 acute angles
Visually represent the relationships among the various quadrilaterals.
Quadrilaterals
kite
trapezoid*
parallelogram
rhombus
rectangle
square
*This visual can change based on what definition you use for trapezoids. This diagram makes the
assumption that trapezoids have ONLY one pair of parallel sides.