Geometry Test 1.1 - 1.8
Convex Polygon
No diagonals are outside the polygon
Collinear
Points on the same line.
Coplanar
Points on the same plane.
Equiangular Polygon
Polygons in which all angles have equal measures.
Equilateral Polygon
Polygons in which all sides are of equal length.
Regular Polygon
Polygons that are both equilateral and equiangular.
Reflex measure of an angle
The measure of an angle can measure anywhere from 0° to 180°. The larger amount of rotation less than 360° between the two rays is the reflex measure of an angle.
Point
The most basic building block or geometry. (No size (No dimension) (It only has a location(A Place).
Measure of an angle
The smallest amount of rotation about the vertex from one ray to the other, measured in degrees.
Concave Polygon
At least one diagonal is outside the polygon
Congruent Circles
If two circles have the same radius.
Polygon
A polygon is a closed figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others. Polygons are classified by the number or sides it has. Ones without specific names are called n-sided polygons, or n-gons.
Concentric Circles
If two or more coplanar circles share the same center.
Diameter
Is a chord that passes through the center of a circle. Also is the longest chord possible.
Diagonal of a polygon
Is a line segment that connects two nonconsecutive vertices.
Chord
Is a line segment whose endpoints lie on the circle.
Tangent
Is a line that intersects the circle only once. The point where it touched is called the point of tangency.
Trapezoid
Is a quadrilateral with exactly one pair of parallel sides.
Kite
Is a quadrilateral with two distinct pairs of consecutive congruent sides.
Parallelogram
Is a quadrilateral with two pairs of parallel sides.
Circle
Is a set of all points in a plane at a given distance from a given point. You name a circle by its center.
Semicircle
Is an arc of a circle whose endpoints are the endpoints of a diameter. (Half a circle arc).
Major Arc
Is an arc that is larger than a semicircle.
Minor Arc
Is an arc that is smaller than a semicircle
Rectangle
Is an equiangular parallelogram.
Rhombus
Is an equilateral parallelogram.
Square
Is an equilateral rectangle. Also is an equiangular rhombus. Also is a regular quadrilateral.
Midpoint
Is the point on the segment that is the same distance from both endpoints. The midpoint Bisects the segment, or divides the segment into two congruent segments.
Arc of a Circle
Is two points on the circle and a continuous (unbroken) prt of the circle between the two points. The two points are called the endpoints of the arc.
Definition
A statement that clarifies or explains the meaning of a word or a phrase.
Line
A straight and continuous arrangement of infinitely many points.(Extends forever in both directions).
Isosceles Triangle
A triangle that has at least two congruent sides.
Obtuse Triangle
A triangle that has one obtuse angle.
Acute Traingle
A triangle that has three acute angles.
Equilateral Triangle
A triangle that has three congruent sides.
Scalene Triangle
A triangle with no congruent sides.
Angle
An Angle is formed by two rays that share a common endpoint.
Plane
It is like a flat surface that extends infinitely along its length and width. You represent a plane with a four-sided figure, like a tilted piece of paper, drawn in perspective. You name a plane with a script capital letter, such as "P".
Things you cannot assume
Just because two lines or segments look parallels doesn't mean they are, they much be marked as parallel. Just because two lines or segments look perpendicular doesn't mean they are, they must be marked perpendicular. Pairs of angles, segments, or polygons are not necessarily congruent unless they are marked with information that tells you they must be congruent.
Things you can assume
Lines are straight, and if two lines intersect, they intersect at one point. Points on a line are collinear and that all points in a diagram are coplanar unless planes are drawn to show that they are noncoplanar.
Decagon
10 Sides
Undecagon
11 Sides
Dodecagon
12 Sides
Triangle
3 Sides
Quadrilateral
4 Sides
Pentagon
5 Sides
Hexagon
6 Sides
Octagon
8 Sides
Nonagon
9 Sides
Ray
A Ray begins at a point and extends infinitely in one direction. You need two letters to name a ray. The first letter is the endpoint of the ray, and the second letter is any other point that the ray passes through.
Right Triangle
A Triangle that has one right angle.
Steps to creating a good definition
Classify your term. What is it? (A square is a 4-sided figure...) Differentiate your term. How does it differ from the others in that class? (... that has four congruent sides and four right angles.") Test your definition by looking for counterexamples
Line Segment
Consists of two points called endpoints of the segment and all the points between them that are collinear with the two points.
Perimeter of a polygon
Equals the sum of the lengths of its sides. Perimeter measures the length of the boundary of a two-dimensional figure.
Radius
The distance from the center to the circle.
Protractor
The geometry tool you use to measure and angle.
Congruent
Two segments are congruent if and only if they have equal measures, or lengths.