AP Geometry Questions Quiz & Flashcards for Mastery

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Questions and Answers

What is a point?

A two-dimensional shape

Something that gives location (correct)

A segment connecting two endpoints

A straight arrangement of points

Which of the following defines a line?

A segment connecting two endpoints

A straight arrangement of points (correct)

A two-dimensional shape

A point in space

What is a plane?

A segment connecting two points

A two-dimensional surface that has width but no thickness (correct)

A set of collinear points

A straight arrangement of points

What are collinear points?

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

What are coplanar points?

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

What defines a line segment?

Two points and all the points between them that lie on the line Signup and view all the answers

What are congruent segments?

Segments that have the same measure Signup and view all the answers

What is a midpoint?

The point that divides a segment into two equal parts Signup and view all the answers

What defines a ray?

Part of a line that extends infinitely in one direction Signup and view all the answers

What are parallel lines?

Lines that do not intersect and are in the same plane Signup and view all the answers

What is an angle?

Formed by two noncollinear rays that share a common endpoint Signup and view all the answers

What is an angle bisector?

A ray that divides an angle into two equal angles Signup and view all the answers

What are perpendicular lines?

Lines that intersect to form a right angle Signup and view all the answers

What is a perpendicular bisector?

A line that divides a segment into two equal parts and is perpendicular to the segment Signup and view all the answers

What is an acute angle?

An angle whose measure is less than 90 degrees Signup and view all the answers

What defines a right angle?

An angle whose measure is exactly 90 degrees Signup and view all the answers

What is an obtuse angle?

An angle whose measure is greater than 90 degrees Signup and view all the answers

What is a straight angle?

An angle whose measure is exactly 180 degrees Signup and view all the answers

What is a linear pair of angles?

Two angles that share a vertex and form a straight line Signup and view all the answers

What are vertical angles?

Angles formed by intersecting lines that are opposite one another Signup and view all the answers

What are congruent angles?

Angles that have the same measure Signup and view all the answers

What are complementary angles?

Two angles whose measures add up to 90 degrees Signup and view all the answers

What are supplementary angles?

Two angles whose measures add up to 180 degrees Signup and view all the answers

What is perimeter?

The sum of the lengths of the sides of a polygon Signup and view all the answers

What is a regular polygon?

A polygon that is equilateral and equiangular Signup and view all the answers

What defines an equilateral polygon?

A polygon with all sides congruent Signup and view all the answers

What defines an equiangular polygon?

A polygon with all angles equal Signup and view all the answers

What is a diagonal of a polygon?

A segment connecting nonconsecutive vertices Signup and view all the answers

What is an altitude?

A perpendicular segment from a vertex to the opposite side Signup and view all the answers

What is a median?

A segment connecting the midpoint of a side to the opposite vertex Signup and view all the answers

What defines an acute triangle?

A triangle with three acute angles Signup and view all the answers

What defines a right triangle?

A triangle with exactly one right angle Signup and view all the answers

What defines an obtuse triangle?

A triangle with exactly one obtuse angle Signup and view all the answers

What is an equiangular triangle?

A triangle in which all angles are equal Signup and view all the answers

What defines a scalene triangle?

A triangle with three sides of different lengths Signup and view all the answers

What defines an isosceles triangle?

A triangle with at least two sides of the same length Signup and view all the answers

What defines an equilateral triangle?

A triangle with all three sides equal Signup and view all the answers

What defines congruent triangles?

Triangles that have the same shape and size Signup and view all the answers

What defines a trapezoid?

A quadrilateral with exactly one pair of parallel sides Signup and view all the answers

What defines a kite in geometry?

A quadrilateral with two pairs of consecutive congruent sides Signup and view all the answers

What defines a parallelogram?

A quadrilateral with both pairs of opposite sides parallel Signup and view all the answers

What is a rhombus?

An equilateral parallelogram Signup and view all the answers

What defines a rectangle?

An equiangular parallelogram Signup and view all the answers

What is a square?

An equalangular rhombus or an equilateral rectangle Signup and view all the answers

What is a circle?

The set of all points equal distance from a fixed point Signup and view all the answers

What defines a radius?

The distance from the center of a circle to any point on the circle Signup and view all the answers

What defines a diameter?

A chord that contains the center of a circle Signup and view all the answers

What defines congruent circles?

Two circles with congruent radii Signup and view all the answers

What defines concentric circles?

Two circles with the same center and different radii Signup and view all the answers

What is a minor arc?

An arc with a measure of less than 180 degrees Signup and view all the answers

What is a major arc?

An arc with a measure greater than 180 degrees Signup and view all the answers

What is a semicircle?

An arc with a measure of 180 degrees Signup and view all the answers

What is a chord?

A line segment that connects any two points on a circle Signup and view all the answers

What is a tangent?

A line that intersects a circle at one point Signup and view all the answers

What is a secant?

A line that intersects a circle at two points Signup and view all the answers

Study Notes

Basic Geometric Terms

Point: Represents a precise location in space without any dimension.
Line: A straight collection of infinitely many points extending in two directions.
Plane: A flat two-dimensional surface that extends infinitely in width and length, but has no thickness.

Relationships and Configurations

Collinear Points: A set of points that all lie on the same straight line.
Coplanar Points: Points that all reside on the same plane.

Line Concepts

Line Segment: A part of a line defined by two endpoints and all points in between.
Congruent Segments: Line segments that share identical lengths.
Midpoint: A point on a segment that divides it into two equal lengths.

Rays and Angles

Ray: A part of a line that starts at one point and extends infinitely in one direction.
Angle: Formed by two noncollinear rays sharing a common endpoint called the vertex.
Angle Bisector: A ray that divides an angle into two equal angles.

Types of Lines and Their Intersections

Parallel Lines: Lines in the same plane that never intersect.
Perpendicular Lines: Lines that intersect at right angles (90 degrees).
Perpendicular Bisector: A line that bisects another line segment at a right angle.

Angle Classifications

Acute Angle: Measures less than 90 degrees.
Right Angle: Measures exactly 90 degrees.
Obtuse Angle: Measures more than 90 degrees.
Straight Angle: Measures exactly 180 degrees, forming a straight line.

Angle Relationships

Linear Pair of Angles: Two adjacent angles that sum to 180 degrees (supplementary).
Vertical Angles: Opposite angles formed by the intersection of two lines, usually appearing as an "X". They are congruent.
Congruent Angles: Angles that have identical measures.
Complementary Angles: Two angles whose measures sum to 90 degrees.
Supplementary Angles: Two angles whose measures sum to 180 degrees.

Shapes and Their Properties

Perimeter: The total length of the boundary of a polygon.
Regular Polygon: A polygon that is both equilateral (all sides equal) and equiangular (all angles equal).
Equilateral Polygon: A polygon in which all sides are congruent.
Equiangular Polygon: A polygon with all angles equal.

Special Segments in Polygons

Diagonal of Polygon: A segment connecting two nonadjacent vertices.
Altitude: A perpendicular segment from a vertex to the opposite side or its extension.
Median: A segment drawn from a vertex to the midpoint of the opposite side.

Triangle Classifications

Acute Triangle: Contains three acute angles.
Right Triangle: Contains exactly one right angle.
Obtuse Triangle: Contains exactly one obtuse angle.
Equiangular Triangle: All angles equal, each measuring 60 degrees.
Scalene Triangle: All sides have different lengths.
Isosceles Triangle: At least two sides are of equal length.
Equilateral Triangle: All three sides and angles are equal.

Quadrilaterals

Trapezoid: A quadrilateral with one pair of parallel sides.
Kite: A quadrilateral with two pairs of adjacent congruent sides.
Parallelogram: Opposite sides are parallel and equal.
Rhombus: A parallelogram with all sides equal.
Rectangle: A parallelogram with all angles equal (90 degrees).
Square: A rectangle that is also a rhombus (equal sides).

Circle Geometry

Circle: A set of all points equidistant from a central point (the radius).
Radius: Distance from the center of the circle to any point on the circle.
Diameter: A chord that passes through the center of the circle.
Congruent Circles: Circles with the same radius.
Concentric Circles: Circles with the same center but different radii.

Arc Measurements

Minor Arc: An arc measuring less than 180 degrees, labeled with two points.
Major Arc: An arc measuring more than 180 degrees, labeled with three points.
Semicircle: An arc measuring exactly 180 degrees.
Chord: A line segment connecting any two points on a circle.
Tangent: A line that touches the circle at exactly one point.
Secant: A line that intersects the circle at two points.

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Pre-AP Geometry Terms Flashcards

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