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# Geometry B

### Randolph

Question | Answer |
---|---|

What is an adjective describing points which lie on the same line? | Colinear |

What is an adjective describing points which lie on the same plane? | Coplanar |

Lines intersect in a _____. | Point |

Planes intersect in a _____. | Plane |

A polygon is _____ if all of its sides are congruent. | Equilateral |

A polygon is _____ if all of its interior angles are congruent. | Equiangular |

A polygon is _____ if it is both equilateral and equiangular. | Regular |

An unproven statement that is based on a pattern or observation. | Conjecture |

Process of looking for patterns and making conjectures. | Inductive Reasoning |

An example that shows a conjecture is false. | Counterexample |

Has no dimension. It is represented by a small dot. | Point |

Has one dimension. It extends without end in 2 directions. | Line |

Has 2 dimensions. It is represented by a shape that looks like a floor or wall. | Plane |

Statements that are accepted without further justification. | Postulates |

Points that lie on the same line. | Collinear Points |

Points that lie on the same plane. | Coplanar Points |

Lines that lie on the same plane. | Coplanar Lines |

Part of a line that consists of 2 points, called end points, and all points on the line that are between the endpoints. | Segment |

Have the same length. | Congruent Segments |

Endpoint of the angle. | Vertex |

Measure is between 0° to 90° | Acute Angle |

Measure is 90° | Right Angle |

Measure is between 90° to 180° | Obtuse Angle |

Measure is 180° | Straight Angle |

Any particular extent of space or surface | Area |

A straight line extending from the center of a circle or sphere to the circumference or surface | Radius |

A straight line passing through the center of a circle or sphere and meeting the circumference or surface at each end. | Diameter |

The outer boundary, especially of a circular area | Circumference |

A plane figure bounded by two radiuses and the included arc of a circle | Sector |

Relation in degree or number between two similar things. | Ratio |

An equation stating that two ratios are equivalent. | Proportion |

Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional. | Similar Polygons |

A segment, ray, line, or plane that intersects a segment at its midpoint | Segment Bisector |

A ray that divides an angle into 2 angles that are congruent | Angle Bisector |

Two angles whose degrees total 180 degrees | Supplementary |

a true statement that follows from other true statements | Theorem |

2 adjacent angles that have noncommon sides on the same line | Linear Pair |

Uses facts, definitions, accepted properties, and the laws of logic to make a logical argument | Deductive Reasoning |

A three dimensional shape | Solid |

A congruent polygon usually found at the top or bottom of a shape | Base |

The surfaces on planes | Face |

The sum of polyhedron's surfaces | Surface Area |

Ratio of lengths of 2 corresponding sides of thw similar polygons | Scale Factor |

Segment that connects the midpoints of two sides of a triangle | Midpoint of a Triangle |

Transformation with center C and scale factor K that maps each point P to an image P' so that p" lies on ray CP and CP' = K(CP) | Dilation |

Amount of surface covered by a figure | Area |

Distance from the center to a point on the circle | Radius |

Distance across the circle through the center | Diameter |

Distance around the circle | Circumference |

Region of a circle determined by 2 radii and a part of the circle | Sector |

no line that contains a side of the polygon passes through interior (a shape that doesn't curve in etc). | Convex |

a polygon that isn't convex (a shape that does curve in). | Concave |

all sides are congruent | Equilateral |

all angles are congruent | Equiangular |

if a polygon is equi/angular/lateral | Regular |

the three original triangles angles on the inside. | Interior Angles |

the three extended angles on the outside that are also adjacent to the interior. | Exterior Angles |

a parallelogram with four congruent sides and angles | Square |

a parallelogram with four right angles | Rectangle |

the perpendicular segment from a vertex to the line containing the opposite side | Height of a Triangle |

When a point is the same distance from one line as it is from another line | Equidistant |

A segment, ray, or line that is perpendicular to a segment at its midpoint | Perpendicular Bisector |

a transformation that creates a mirror image | Reflection |

a line of reflection | Line of Symmetry |

A quadrilateral with exactly one pain of parallel sides called bases. The nonparallel sides are the legs | Trapezoid |

a trapezoid with congruent legs | Isosceles Trapezoid |

A segment that connects the midpoints of two sides of a triangle. | Midsegment of a Trapezoid |

A triangle with three acute angles | Acute Triangle |

Two angles at the base of an isosceles triangle | Base angles of an Isosceles Triangle |

The point at which the three medians of a triangle intersect | Centroid |

Gives the distance between two points in a coordinate plane. | Distance Formula |

Angles that are adjacent to the interior angles | Exterior Angles |

The side opposite the right angle in a right triangle | Hypotenuse |

The congruent sides of an isosceles triangle. | Legs of Isosceles Triangle |

A segment from a vertex to the midpoint of the opposite side | Triangle Median |

A triangle with one obtuse angle | Obtuse Triangle |

The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs in a right triangle | Pythagorean Theorem |

A triangle with one right angle | Right Triangle |

A triangle with no congruent sides | Scalene Triangle |

segment whose endpoints are points on a circle | Chord |

line that intersects a circle in two points | Secant |

a line in the plane of a dircle that intersects the circle in exactly one point (point of tangency) | Tangent |

an arc whose endpoints form an angle less than 180 degrees with the center of the circle | Minor Arc |

an arc of a circle that is longer than a semicircle | Major Arc |

the measure of an arc | Arc Length |

an angle placed inside a circle with its vertex on the circle and whose sides contain chords of the circle | Inscribed Angle |

an arc of the circle in the interior of an angle | Intercepted Angle |

the action of rotating around an axis or center (fixed point) | Rotation |

symmetry when obtained by a rotation | Rotational Symmetry |

sum of the areas of the lateral faces | Lateral Area |

perpendicular distance between the vertex and the base, height of any of the lateral faces. | Slant Height |

the number of cubic units contained in the object's interior | Volume |

a half of a sphere | Hemiphere |

a point on the segment that divides it into two congruent sides | Midpoint |

a line that divides the segment into two congruent segments | Bisector |

two angles that add up to 90 degrees | Complimentary Angles |

two angles that shares a common vertex and same side. There are no common interior points | Adjacent |

non-adjacent angles formed by two intersecting lines. They are diagnal to each other | Vertical Angles |

the “if” contains the hypothesis and the “then” contains the conclusion | If-Then Statement |

A polygon is _____ if no line that contains a side of the polygon passes through the interior of the polygon. | Convex |

Created by:
hdrew