Vocabulary

=__Chapter 1 Vocabulary: Sections 1-7__=

__**Vocabulary: Section 1-1 (The Short Joe)**__
Undefined term: **An undefined term is the most basic figure in geometry.** Point: **A point is a location that has no size and is represented by a dot.** Line: **A line is a straight path that goes on forever.** Plane: **A plane is a flat surface that extends forever.** Collinear: **Collinear points are points that lie on the same line.** Coplanar: **Coplanar points are points that are on the same plane.** Segment: **A segment is a part of a line that has two points and all points in between.** Endpoint: **An endpoint is the point that is a starting point of a ray or the end of a segment.** Ray: **A ray has an endpoint from where it starts and the other extends forever in another direction.** Opposite rays: **Opposite rays are two rays that share a endpoint and form a line.** Postulate: **A postulate is a statement that has been accepted without true proof.**

**__Vocabulary 1-2 (T.J.)__**
Coordinate:**A coordinate is a point corresponds to one and only one point on the ruler** Distance:**Distance is the absolute value of the difference of the coordinates** Length: **Length is the distance between A and B** Congruent Segments:**Congruent segments are segments that have the same length** Construction: **Construction is a way of creating a figure that is more precise** Between:**Between means to be in the exact middle of two points** Midpoint:**A midpoint is the point that divides a segment into two congruent segments** Bisect**: A bisect divides a segment into two congruent segments** Segment Bisector: **A segment bisector is any ray segment, or line that intersects a segment at its midpoint**

__Vocabulary: Section 1-3 (Remy)__
Angle: **An angle is a figure formed by two rays or sides with a commen end point.** Vertex: **The Vertex is the common point in the angle (where the two rays meet).** Interior of the Angle: **The interior of the angle are all the points with in the angle.** Exterior of the Angle: **The exterior of the angle are all the points out side of the angle.** Measure: **The measure is how many degrees the angle is.** Degree: **A cirle is 360° therefore one degree is 1/360° .** Acute Angle: **An acute angle is any angle less than 90° and greater than 0° .** Right Angle: **A right angle is a 90° angle.** Obtuse Angle: **An obtuse angle is any angle more than 90° and less than 180° .** Straight Angle: **A straight angle is formed by two oppostie rays and measured 180° .** Congruent Angles: **A congruent angle are angles that have the same measure. //The symbol for congruence is//** =̃ Angle Bisector: **An angle bisector is a ray that divides an angle into two congruent angles.**

__Vocabulary: Section 1-4 (Joe R)__
Adjacent Angle: **Adjacent Angles are two angles in the same plane with a common vertex and a common side, but no common interior points**. Linear Pair: **A linear pair is a pair of adjacent angles whose non common sides are opposite rays**. Complementary Angle: **Complementary angles are two angles whose measures have a sum of 90°**. Supplementary Angles: **Supplementary angles are two angles whose measure has a sum of 180°**. Vertical Angles: **Vertical angles are two nonadjacent angles formed by two intersecting lines.**

__Vocabulary1-5 (Alicia)__
Perimeter: **Perimeter is the sum of the side lengths of the figure.** Area: **Area is the number of nonoverlapping square units of a given size that exactly cover the figure.** Base: **A base is any side of a triangle.** Height: **Height is a segment from a vertex that forms a right angle with the line containing the base.** Diameter: **Diameter is a segment that passes through the center of the circle and whose endpoints are on the circle.** Radius: **Radius is a line whose endpoint are at the center and a point on the circle.** Circumference: **Circumference is the distance around the circle.** Pi: **Pi is the ratio of a circle's circumference to its diameter.**

__Vocabulary: Section 1-6 (Erin)__
Coordinate plane: **A coordinate plane is a plane that is divided into four regions by a horizontal line called the x- axis and a vertical line called the y- axis.** Leg: **In a triangle, the two sides that form the right angle are called the legs.** Hypotenuse: **A hypotenuse is the side opposite the right angle in a right triangle.**

__Vocabulary: Section 1-7 (Steve)__
Transformation: **A transformation is a change in the position, size, or shape of a figure.** Preimage: **The preimage is the original figure.** Image**: The image is the resulting figure.** Reflection**: A reflection is a transformation across a line, called the line of reflection. Each point and its image are the same distance from the line of reflection.** Rotation**: A rotation is a transformation about a point P, called the center of rotation. Each point and its image are the same distance from P.** Translation: **A translation is transformation in which all the points of a figure move the same distance in the same direction.**

=__Chapter 2 Vocabulary: Sections 1-7__=

__Vocabulary: Section 2-1 ( Stephen )__
Inductive reasoning: the process of reasoning that a rule or statement is true because specific cases are true. Conjecture: A statement you believe to be true based on inductive reasoning.

Counterexample: an example that proves that a conjecture or statement is false.

Conditional Statement : **a statement that can be written in the form “if p then q”.** Hypothesis : **the “p” part of a conditional statement following the word if**. Conclusion : **the “q” part of a conditional statement following the word then.** Converse : **the statement formed by exchanging the hypothesis and conclusion.** Inverse : **the statement formed by negating the hypothesis and the conclusion**. Contrapositive : **the statement formed by both exchanging and negating the hypothesis and conclusion.** Logically equivalent statements : **related conditional statements that have the same truth value.**

__Vocabulary: Section 2-5 (Hayley)__
Proof: **A proof is an argument that uses logic, definitions, properties, and previous proven statements to show that a conclusion is true.**

__Vocabulary: Section 2-6 (Adnan)__
Theorem: **A theorem is any statement that you can prove. Once you have proven a theorem, you can use it as a reason in later proofs.** Two-Column Proof: **In a two-column proof, you list the steps of the proof in the left column. You write the matching reason for each step in the right column.** FIRST

__Vocabulary: Section 2-7__
=Flowchart proof- Uses boxes and arrows to show the structure of the proof. The steps in a flowchart proof move from left to right or from top to bottum. The justification for each step is written below the box.= Paragraph Proof- A style of proof that presents the steps of the proof and their matching reasons as sentances in a pragraph. Although this style of proof is less formal than a two column proof, you still must include every step. =__Chapter 3 Vocabulary: Sections 1-6__=

__Vocabulary: Section 3-1 (Remy)__
Parrallel Lines: **Parrallel lines are coplanar and do not intersect.** //**Symbol = ll**// Perpendicular Lines: **Perpendicular lines intersect at 90** ° **angles. //Symbol = //** Skew Lines: **Skew lines are not coplanar, not parrallel and do not intersect.** Parrallel Planes: **Parrallel planes are planes that do not intersect.** Transversal: **Transversal is a line that intersects two coplanar line at two different points.** Corresponding Angles: **Corresponding angles lie on the same side of the transversal.** Alternate Interior Angles: **Alternate interior angles lie on the opposite sides on the inside of the tranversal.** Alternate Exterior Angles: **Alternate exterior angles lie on the opposite sides on the outside of the tranversal.** Same-Side Angles: **Same-Side angles lie on the same side of the transversal. //Same-Side Angles are also known as Consecutive Interior Angles.//**

__Vocabulary: Section 3-2__
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__Vocabulary: Section 3-3__(The Short Joe)
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Vocabulary: Section 3-4
perpendicular bisector- a line perpendicular to a segment at the segments midpoint. distance from a point to a line- the shortest segment from a point to a line is perpendicular to the line.

__Vocabulary: Section 3-6 (Erin)__
Point-slope form: **y-y1=m(x-x1), where m** **is the slope and (x1,y1) is a point on the line.** Slope-intercept form: **The slope-intercept form of a linear equation is y=mx+b, where m is the slope and b is the y-intercept.**

__Vocabulary: Section 4-4 (Remy)__
Triangle Rigidity: **Triangle Rigidity is a shortcut to proving a triangle is congruent. It states that if teh side lengths of a triangle are given, the triangle can only have one shape therefore is congruent.** Included Angle: **Included Angle is an angle formed by two adjacent sides of a polygon.**