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 |