Unit 1 Geometry Basics Flashcards

Questions and Answers

What is a point?

A location with no size or shape.

What is a line?

Made up of points with no thickness or width.

What is a line segment?

A measurable part of a line consisting of two endpoints.

What is a ray?

A line that extends indefinitely in one direction. Signup and view all the answers

What is a plane?

A flat surface made up of points and extends indefinitely in all directions. Signup and view all the answers

What does it mean for points to be collinear?

Points that lie on the same line. Signup and view all the answers

What does it mean for points to be coplanar?

Points that lie on the same plane. Signup and view all the answers

What are congruent segments?

If two segments have the same length, then they are congruent. Signup and view all the answers

What is the Segment Addition Postulate?

If A, B, and C are collinear points and B is between A and C, then AB + BC = AC. Signup and view all the answers

What is the Distance Formula?

The formula used to find the distance between two points on a coordinate plane. Signup and view all the answers

What is the Midpoint Formula?

The formula used to find the midpoint between two endpoints. Signup and view all the answers

What is a segment bisector?

A segment, line, or plane that intersects a segment at its midpoint. Signup and view all the answers

What does it mean if two lines are perpendicular?

Two lines that intersect at a 90 degree angle. Signup and view all the answers

What is a perpendicular bisector?

A line, segment, or ray perpendicular to a segment at its midpoint. Signup and view all the answers

What are parallel lines?

Two lines that never intersect. Signup and view all the answers

What is an angle?

The intersection of two rays at their endpoints. Signup and view all the answers

What is a vertex?

The common endpoint of an angle where the sides intersect. Signup and view all the answers

What is a right angle?

An angle with a degree measure of 90 degrees. Signup and view all the answers

What is an acute angle?

An angle with a degree measure less than 90 degrees. Signup and view all the answers

What is an obtuse angle?

An angle with a degree measure greater than 90 degrees. Signup and view all the answers

What is a straight angle?

An angle with a degree measure of 180 degrees. Signup and view all the answers

What are congruent angles?

Two angles that have the same measure. Signup and view all the answers

What are adjacent angles?

Two angles that share a common side and vertex. Signup and view all the answers

What is the Angle Addition Postulate?

If angle ABD and angle DBC are adjacent, then angle ABD + angle DBC is equal to angle ABC. Signup and view all the answers

What is an angle bisector?

A line or ray that divides an angle into two equal parts. Signup and view all the answers

What are vertical angles?

Two angles directly across from each other on intersecting lines. Signup and view all the answers

What are complementary angles?

Two angles with measure that sum to 90 degrees. Signup and view all the answers

What are supplementary angles?

Two angles with measures that sum to 180 degrees. Signup and view all the answers

What is a linear pair?

Adjacent angles that are supplementary. Signup and view all the answers

Study Notes

Basic Geometry Concepts

Point: Represents a specific location without size or shape, fundamental in geometry.
Line: Composed of infinitely many points, extends without thickness or width.
Line Segment: A part of a line defined by two distinct endpoints, measurable in length.
Ray: A portion of a line that starts at a point and extends infinitely in one direction.
Plane: A flat, two-dimensional surface stretched infinitely in all directions, formed by points.

Relationships and Properties

Collinear: Describes points that reside on the same straight line.
Coplanar: Refers to points that lie within the same flat surface (plane).
Congruent Segments: Segments that have identical length, implying equality in measurement.

Important Postulates and Theorems

Segment Addition Postulate: States that if point B is between points A and C on a line, then the sum of the lengths of segments AB and BC equals the length of segment AC.
Distance Formula: Utilized to calculate the distance between two points on a coordinate plane.
Midpoint Formula: Determines the midpoint between two endpoints, effectively finding their average position.

Bisectors and Intersections

Segment Bisector: A line, segment, or plane that divides another segment into two equal parts at the midpoint.
Perpendicular: Two lines intersecting to form a right angle (90 degrees).
Perpendicular Bisector: A bisector that intersects a segment at its midpoint and forms right angles with it.

Angles and Their Types

Angle: Formed by two rays sharing a common endpoint called the vertex.
Vertex: The point where two rays or lines meet to form an angle.
Right Angle: Measures exactly 90 degrees, creating a quarter turn.
Acute Angle: Measures less than 90 degrees, appearing sharp in appearance.
Obtuse Angle: Measures more than 90 degrees, creating a wider opening.

Angle Relationships

Straight Angle: A flat angle measuring 180 degrees, resembling a straight line.
Congruent Angles: Angles that have identical measures, indicated by specific symbols.
Adjacent Angles: Share a side and vertex, positioned next to each other without overlap.
Angle Addition Postulate: States that the sum of two adjacent angles equals the measure of the larger angle formed.
Angle Bisector: Divides an angle into two equal parts, creating two congruent angles.

Special Angle Relationships

Vertical Angles: Pair of angles opposite each other at the intersection of two lines; always congruent.
Complementary Angles: Two angles whose measures add up to 90 degrees.
Supplementary Angles: Two angles that sum to 180 degrees, forming a linear pair.
Linear Pair: Comprises two adjacent angles that are supplementary, lying on a straight line.

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Test your understanding of basic geometry concepts with these flashcards. This quiz covers essential terms such as points, lines, line segments, rays, and planes. Perfect for beginners and those looking to reinforce their knowledge in geometry.