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.