Geometry Chapter 1 Quiz Flashcards

Undefined Terms of Geometry

• Basic concepts include point, line, and plane which serve as the foundation for geometry.

Point

• Represents a specific location in space that has no size and is considered infinitely small.

Line

• Composed of an infinite set of points extending in opposite directions with no endpoints.

Plane

• A flat, two-dimensional surface extending infinitely in all directions.

Segment

• Defined as part of a line that contains two endpoints and all points between them.

Ray

• A part of a line that starts at an endpoint and extends infinitely in one direction.

Opposite Rays

• Two distinct rays that share the same endpoint and extend in opposite directions, forming a line.

Collinear Points

• Points that lie on the same straight line.

Coplanar Points

• Points that lie within the same plane, including all points in between.

Intersection

• The set of points that two or more geometric figures share.

Length

• The measurement of distance between two points in geometry.

Postulate

• A fundamental statement accepted as true without proof.

Segment Addition Postulate

• If points A, B, and C are collinear with B between A and C, then the lengths satisfy the equation: AB + BC = AC.

Congruent Segments

• Segments that have equal lengths.

Midpoint

• A point that divides a segment into two equal parts, creating congruent segments.

Angles

• Created by two rays sharing a common endpoint.

Protractor Postulate

• Allows for angles to be measured in degrees.

Angle Addition Postulate

• If point X is within angle ABC, then the sum of angles ABX and CBX equals angle ABC.

Angle Classification

• Acute angles measure between 0 and 90 degrees.
• Right angles measure exactly 90 degrees.
• Obtuse angles measure between 90 and 180 degrees.
• Straight angles measure exactly 180 degrees.

Congruent Angles

• Angles that have the same measurement.

Angle Bisector

• A ray, line, or segment that divides an angle into two equal angles.

Vertical Angles

• Angles opposite each other when two lines intersect; they are congruent.

Adjacent Angles

• Two angles that share a common side and a vertex but do not overlap.

Complementary Angles

• Two angles whose sum equals 90 degrees, which can involve more than two angles.

Supplementary Angles

• Two angles whose sum equals 180 degrees, which can also involve more than two angles.

Linear Pairs

• A pair of adjacent angles that form a straight line, which are always supplementary.

Ruler Postulate

• The length of a segment is equal to the absolute value of the difference between the coordinates of its endpoints.

Repeat of Segment Addition Postulate

• The same postulate mentioned prior; it’s crucial for understanding segment measurement and relations.

Repeat of Angle Addition Postulate

• Reiteration of the rule regarding angle measurement and the addition of angles when a point lies within an angle.

Test your knowledge of the foundational concepts in Geometry with this Chapter 1 quiz on undefined terms. Explore key definitions related to points, lines, and planes that form the basis of geometric understanding. Perfect for students looking to solidify their grasp of these essential terms.