Geometry Exam Review
Geometry with Macdonald at Miller School of Albemarle
About this deck
By: John Macdonald
Created: 2010-12-03
Size: 69 flashcards
Views: 370
Created: 2010-12-03
Size: 69 flashcards
Views: 370
About StudyBlue
STUDYBLUE makes things that make you better at school.
Things like online flashcards with photos and audio.
Things like personalized quizzes and friendly reminders about when (and what) to study next.
Think of it as a digital backpack™: access to all of your study materials online and on your phone.
STUDYBLUE exists to make studying efficient and effective for every student, for free. Join us.
“I have been getting MUCH better grades on all my tests for school. Flash cards, notes, and quizzes are great on here. Thanks!”
Kathy
Kathy
Sign up (free) to study this.
inductive reasoning
Reasoning based on observable patterns.
conjecture
A conclusion you reach using inductive reasoning.
counterexample
Example for which the conjecture is incorrect.
ray
Part of a line consisting of one endpoint and all the points of the line on the other side.
segment
Part of a line consisting of two endpoints and all points between them.
opposite rays
Two collinear rays with the same endpoint
opposite rays always form a line
opposite rays always form a line
isometric drawing
A way of showing a three-dimensional object. It shows three sides of a figure from a corner view
orthographic drawing
Another way to show a three-dimensional figure showing a top view, front view, and right-side view.
foundational drawing
Shows the base of a structure and the height of each part.
net
A two-dimensional pattern that you can fold to form a three-dimensional figure.
point
A location with no size represented by a small dot.
line
A series of points that extends in two opposite directions without end.
collinear points
Points that share the same line.
plane
A flat surface that has no thickness that contains many lines and extends without end in the directions of its lines.
coplaner
Points and lines that lie on the same plane.
postulate
An accepted statement of fact.
congruent segments
Two segments with the same length
midpoint
A point that divides a segment into two congruent segments.
angle
Is formed by two rays with the same endpoints called a vertex.
acute angle
An angle with measure between 0 and 90 degrees.
right angle
An angle with measure of 90 degrees.
obtuse angle
An angle with measure between 90 and 180 degrees.
straight angle
An angle with measure 180 degrees.
congruent angles
Angles with the same measure.
vertical angles
Two angles whose sides are opposite rays. They are congruent.
adjacent angles
Two coplaner angles with a common side, a common vertex, and no common interior points.
complementary angles
Two angles whose measures have a sum of 90 degrees.
supplementary angles
Two angles whose measures have sum of 180 degrees.
construction
A figure created by using a compass, strait edge, and pencil.
compass
A geometric tool used for drawing circles and arcs.
perpendicular lines
Two lines that intersect to form right angles.
perpendicular bisector
A segment, line, or ray that is perpendicular to a the segment at its midpoint, thereby bisecting the segment into two congruent segments.
angle bisector
A ray that divides an angle into two congruent coplaner angles. its endpoint is at the angle vertex.
perimeter of a rectangle
P = 2b + 2h
area of a rectangle
A = bh
circumference of a circle
C = 2πr
area of a circle
A = πr2
transversal
A line that intersects two coplaner lines at two distinct points.
alternate interior angles
Angles on opposites sides of a transversal inside the two lines. Are congruent with parallel lines.
alternate exterior angles
Angles on opposites sides of a transversal outside the two lines. Are congruent with parallel lines.
same side interior angles
Angles on the same side of a transversal inside the two lines. Are supplementary with parallel lines.
same side exterior angles
Angles on the same side of a transversal outside the two lines. Are supplementary with parallel lines.
corresponding angles
Angles located in the same relative position when a transversal crosses two lines. Are congruent with parallel lines.
triangle angle sum theorem
The sum of the measures of the angles of a triangle is 180 degrees.
triangle exterior angle theorem
The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles.
polygon
A closed plane figure with at least three sides that are segments and no overlapping sides.
polygon angle-sum theorem
The sum of the measures of the angles of a n-gon is (n - 2)180.
polygon exterior angle-sum theorem
The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360 degrees.
convex polygon
Has no diagonal with points outside the polygon.
concave polygon
Has at least one diagonal with points outside the polygon.
regular polygon
Is both equilateral and equiangular.
slope-intercept form
Equation of a line, y = mx + b.
standard form of a linear equation
Is an equation of a line, Ax + By = C
point-slope form
An equation of a line, (y-y1) = m(x-x1)
slopes of parallel lines
If two non-vertical lines are parallel, their slopes are equal.
slopes of perpendicular lines
If two non-vertical lines are perpendicular, their slopes are negative and reciprocal. Any horizontal line and vertical line are perpendicular.
midsegment of a triangle
A segment connecting the midpoints of two sides of triangle.
Triangle Midsegment Theorem
If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side, and half its length.
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
If a point is on the bisector of an angle, then the point is equidistant from the sides of the triangle.
concurrent
When three or more lines intersect in one point.
point of concurrency
The point at which three or more lines intersect.
circumcenter of the triangle
The point of concurrency of the perpendicular bisectors of a triangle.
incenter of a triangle
The point of concurrency of the angle bisectors of a triangle.
inscribed circle
A circle can be constructed inside a triangle with the center of the circle at the incenter of a triangle.
median of a triangle
In a triangle, it is a segment whose endpoints are a vertex and the midpoint of the opposite side.
centroid of a triangle
The point of concurrency in a triangle where all the medians intersect.
altitude of a triangle
The perpendicular segment from a segment to the opposite vertex.
orthocenter of a triangle
The point of concurrency in a triangle where all the altitudes intersect.
About this deck
By: John Macdonald
Created: 2010-12-03
Size: 69 flashcards
Views: 370
Created: 2010-12-03
Size: 69 flashcards
Views: 370
About StudyBlue
STUDYBLUE makes things that make you better at school.
Things like online flashcards with photos and audio.
Things like personalized quizzes and friendly reminders about when (and what) to study next.
Think of it as a digital backpack™: access to all of your study materials online and on your phone.
STUDYBLUE exists to make studying efficient and effective for every student, for free. Join us.
“I have been getting MUCH better grades on all my tests for school. Flash cards, notes, and quizzes are great on here. Thanks!”
Kathy
Kathy