geometry applications Flashcards
Total surface area
The sum of all of the areas of all faces of a solid object
Volume
measure of the total three-dimensional space contained inside an object
Origin
The point of intersection of the x-axis and y-axis of a coordinate plane, often designated as (0,0)
Net
a two-dimensional representation or pattern for a three-dimensional object
ordered pairs
Representations in the form (x, y) of points in the coordinate plane
collinear
lying on the same line
quadrant
One of the 4 areas bounded by the x-axis and y-axis of a coordinate plane
plane
an infinite “surface” with no thickness that extends infinitely in all directions
surface area
The area of the outside surface of a three-dimensional object
area
the amount of surface inside of a figure
Lateral surface area
The sum of the areas of all faces excluding the base(s) of a solid object
Angle
the figure formed by the intersection of two rays, lines, or line segments, or else by two rays with a common endpoint
obtuse angle
an angle measuring between 90° and 180°
right angle
An angle measuring exactly 90°, such as the corner of a piece of paper.
All right angles are congruent
vertical angles
The pair of opposite angles created when two lines (or line segments) intersect.
The angles are congruent (equal).
Dimensional Analysis / Unit Analysis
the process of converting within or between systems by multiplying by factors of 1 in various forms
vertex
a point where two rays, lines, or line segments meet, such as the point where two rays, lines, or line segments intersect to form an angle
acute angle
an angle measuring between 0° and 90°
straight angle
an angle measuring exactly 180°
alternate exterior angles
If a transversal intersects two parallel lines, then the alternate exterior angles are congruent.
supplementary angles
two angles that sum to 180°
corresponding angles
If a transversal intersects two parallel lines, the pairs of corresponding angles are congruent.
coordinate plane
A plane, often divided into a grid, with a horizontal x-axis and a vertical y-axis that intersect at the origin
complimentary angles
two angles that sum to 90°
perimeter
the distance around the outside of a figure
reflex angle
an angle measuring between 180° and 360°
coplanar
lying on the same plane
alternate interior angles
If a transversal intersects two parallel lines, then the alternate interior angles are congruent
point
a location in space without any dimension
line
an infinite set of points arranged “straight” in opposing directions, with infinite length and no thickness
