Geometry Chapter 1 Quiz Flashcards

Questions and Answers

What are the undefined terms of geometry?

Rectangle, Polygon, Ellipse

Circle, Triangle, Square

Angle, Segment, Ray

Plane, Point, Line (correct)

What is a point?

A specific location in space that is infinitely small.

What is a line?

Set of points that extend in opposite directions infinitely.

What is a plane?

A 2-D flat surface that extends in all directions infinitely. Signup and view all the answers

What is a segment?

Part of a line consisting of 2 endpoints and all points in between. Signup and view all the answers

What is a ray?

Part of a line consisting of one endpoint and all points on one side of the endpoint. Signup and view all the answers

What are opposite rays?

2 distinct collinear rays with the same endpoint. Signup and view all the answers

What are collinear points?

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

What are coplanar points?

Points that are on the same plane and all points in between. Signup and view all the answers

What is an intersection?

Set of points that are in both figures. Signup and view all the answers

What is length in geometry?

The distance between 2 points. Signup and view all the answers

What is a postulate?

Statement that is assumed to be true. Signup and view all the answers

What is the Segment Addition Postulate?

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

What are congruent segments?

Segments with the same length. Signup and view all the answers

What is a midpoint?

Point that divides a segment into two congruent segments. Signup and view all the answers

What are angles?

Formed by 2 rays that share the same endpoint. Signup and view all the answers

What is the Protractor Postulate?

Measure angle in degrees. Signup and view all the answers

What is the Angle Addition Postulate?

If point X lies in the interior of angle ABC, then the measure of angle ABX + the measure of angle CBX = the measure of angle ABC. Signup and view all the answers

What is an acute angle?

An angle less than 90 degrees. Signup and view all the answers

What is a straight angle?

An angle equal to 180 degrees. Signup and view all the answers

What are congruent angles?

Angles with the same measurement. Signup and view all the answers

What is an angle bisector?

Ray, line, or segment that divides an angle into 2 congruent, coplanar angles. Signup and view all the answers

What are vertical angles?

Opposite angles, 2 angles whose sides form 2 pairs of opposite rays. Signup and view all the answers

What are adjacent angles?

2 coplanar angles that share a common side and vertex, but no interior points. Signup and view all the answers

What are complementary angles?

Angles whose sum equals 90 degrees, can be more than 2 angles. Signup and view all the answers

What are supplementary angles?

Angles whose sum equals 180 degrees, can be more than 2 angles. Signup and view all the answers

What are linear pairs?

2 adjacent angles that form a line, supplementary. Signup and view all the answers

What is the Ruler Postulate?

The length of a segment is equal to the absolute value of the difference of the coordinates of the endpoints of the segment. Signup and view all the answers

Study Notes

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.

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Description

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.