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The point at which the three medians intersect. The center of mass of a figure of uniform. Centroid

The study of geometric figures in two dimensions (plane geometry) and three dimensions (solid geometry). It includes the study of points, lines, triangles, quadrilaterals, other polygons, circles, spheres, prisms, pyramids, cones, cylinders, and polyhedra. Geometry

A solid with parallel congruent bases which are both polygons. The bases must be oriented identically. The lateral faces of a prism are all parallelograms or rectangles. Prism

A closed plane figure for which all sides are line segments. The name of a polygon describes the number of sides. A polygon which has all sides mutually congruent and all angles mutually congruent is called a regular polygon. Polygon

A quadrilateral which has a pair of opposite sides which are parallel. The parallel sides are called the bases, and the other two sides are called the legs. Trapeziod

The circumcenter of a triangle is the point where the three perpendicular bisectors meet. This point is the same distance from each of the three vertices of the triangles. Circumcenter

The concluding statement. Statement made using inductive reasoning. Conjecture

Opposite of the truth value. Shown by symbol ~, "not p". Negation

Written as p ^ q. Statements joined by "and". Conjunction

Statements joined by "or". Written as p v q. Disjunction

negating the hypothesis/ conclusion. Written as ~p->~p Inverse

Switching the hypothesis/ conclusion. Written as q->p. Converse

Negating and switching the hypothesis. Written as ~q->~p. Contraposotive

Created by three special points and lines. Named after Swiss mathematician Leonard Euler. Euler Line

A concave polygon is any polygon with an angle measuring more than 180°. Look like they are collapsed or have one or more angles dented in. Concave Polygon

A combination of two transformations. A reflection over a line followed by a translation in the same direction as the line. Glide Reflection

Has only one dimension. It continues forever in two directions. Line

The portion of a line lying strictly between two points. It has a finite length and no width. Line Segment

Everywhere equidistant. Two lines in the same plane that never intersect. Parallel Lines

A closed three-dimensional figure. All of the faces are made up of polygons. Polyhedron

If you have a right triangle, then the square built on the hypotenuse is equal to the sum of the squares built on the other two sides. a2 + b2 = c2. Pythagorean Theorem

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A closed plane figure formed by three or more straight sides that are line segments. polygon

A polygon with three sides and three angles. triangle

A polygon with four sides and four angles. quadrilateral

A polygon with five sides and five angles. pentagon

A polygon with six sides and six angles. hexagon

A polygon with seven sides and seven angles. heptagon

A polygon with eight sides and eight angles. octagon

A polygon with nine sides and nine angles. nonagon

A polygon with ten sides and ten angles. decagon

An angle that measures greater than 0 degrees and less than 90 degrees. acute

An angle that forms a square corner and has a measure of 90 degrees. right

An angle whose measure is 180 degrees. straight

An angle that measures greater than 90 degrees and less than 180 degrees. obtuse

An exact location in space. point

A straight path of points in a plane that continues without end in both direcetions with NO endpoints. line

A part of a line that includes two points called endpoints and all the points between them. line segment

A part of a line; it has one endpoint and continues without end in one direction. ray

The point at either end of a line segment of the starting point of a ray. endpoint

Lines in the same plane that never intersect and are always the same distance apart. parallel

Two lines that intersect to form four right angles. perpendicular

Lines that cross each other at exactly one point. intersecting

The number of square units needed to cover a surface. area

The distance around a figure. perimeter

A parallelogram with four equal, or congruent, sides and four right angles. square

A parallelogram with opposite sidees that are equal, or congrudent, and with four right angles. rectangle

A parallelogram with four equal, or congruent, sides. rhombus

A quadrilateral with exactly one pair of parallel sides. trapezoid

A quadrilateral whose opposite sides are parallel and equal, or congruent. parallelogram

Having the EXACT same size and shape. congruent

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Polygons having the same shape. Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional. SIMILAR POLYGONS

Space occupied by a solid; measured in cubic inches. VOLUME

3-D figure with faces(sides) that are polygons. A solid figure with many plane faces, typically more than six. POLYHEDRON

Parts of congruent figures that match or are in the same places as each other. The parts (angles or sides) are in the same relative position in each of the figures. CORRESPONDING PARTS

Using properties of similar polygons to find lengths that are difficult to measure directly. A method of using proportions to find an unknown length or distance in similar figure. INDIRECT MEASUREMENT

Applying more than one transformation to an image. A transformation is put on the previous image several times. COMPOSITION OF TRANSFORMATIONS

Shapes that have the same shape but different sizes,~. Having corresponding sides proportional and corresponding angles equal. SIMILAR

A 3-D figure with all points the same distance from the center. A round solid figure, or its surface, with every point on its surface equidistant from its center. SPHERE

3-D figure with two parallel congruent circles. Connected by a curved circle. A solid geometric figure with straight parallel sides and a circular or oval cross section. CYLINDER

3-D figure with one circle base connected by a curved surface to a single vertex. A solid or hollow object that tapers from a circular or roughly circular base to a point. CONE

Objects made up of more than one solid. A solid that is composed, or made up of, two or more solids. COMPOSITE SOLIDS

Longest side of a right triangle; always across or opposite from right angle. HYPOTENUSE

Reversing the Pathagorean Theorem; Switching the hypotenuse and conclusion of a conditional statement. CONVERSE

Has three angles and three sides; has a sum of 180 degrees. TRIANGLE

Simply closed figure with three or more sides. POLYGON

Angles of a triangle that are not adjacent to a given exterior angle. REMOTE INTERIOR ANGLES

Operation that maps an original geometric figure to a now figure. A general term for four specific ways to change the shape on a graph. TRANSFORMATION

Fixed point or point that doesn't change in a rotation. POINT OF ROTATION

Intersecting line making a right angle. Two lines that meet a pet a right angle. PERPENDICULAR LINES

Outside the parallel's but opposite of the transversal; congruent. ALTERNATE EXTERIOR ANGLES

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The mathematical sentence that uses an equal sign to show that two expressions are equal. EQUATION

The line intersects 2 or more parallel line TRANSVERSAL

The side of the right triangle that is opposite to the right angle. HYPOTENUSE

The symbol that is used to represent a square root RADICAL SIGN

The numerical factor of the term that contains a variable COEFFICIENT

A function whose graph is non vertical line LINEAR FUNCTION

The ratio of change in y to the change in x (rise/run) SLOPE

A polygon with three sides TRIANGLE

Changes the figure into another shape TRANSFORMATION

Identical in form (angles) CONGRUENT

When two parallel lines are cut by a transversal, the angles formed on the outside of the parallel lines EXTERIOR ANGLES

In any right triangle, the sum of the squares of the lengths of legs is equal to the square of the length of the hypotenuse PYTHAGOREAN THEOREM

Lines in the same plane that do not intersect PARALLEL LINES

A transformation in which a figure slides but does not turn TRANSLATION

The set of all points in the space that are the same distance from the point called center SPHERE

A transformation in which a figure is made larger or smaller with respect to a fixed point DILATION

A measure of the amount of space a 3 dimensional figure occupies VOLUME

A number that, when multiplied by itself, equals a given number SQUARE ROOT

Two numbers whose product is 1 RECIPROCALS

A polyhedron that has 2 parallel, congruent bases; the lateral faces are parallelogram PRISM

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A triangle that contains only angles that are less than 90 degrees. Acute Triangle

The amount of rotation needed to bring one line or plane into coincidence with another, generally measured in radians or degrees. Angle

The number of square units required to cover a surface. Area

1. An imaginary line through a body, about which it rotates. Axis

A 3D point defining the geometric center of a solid. Centroid

A round plane figure whose boundary consists of points equidistant from the center Circle

1. A triangle located round a polygon such as a circle. Circumscribe

A solid composed of two congruent circles in parallel planes, their interiors, and all the line segments parallel to the axis with endpoints on the two circles. Cylinder

The measure of mass density is a measure of mass per volume. Density

A straight line passing from side to side through the center of a circle or sphere. Diameter

A shape generated by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant and equal to the major axis Ellipse

A curve formed at the interior intersection between two or more surfaces. Fillet

To draw a figure within another so that their boundaries touch but do not intersect. Inscribe

The amount of matter in an object or the quantity of the inertia of the object. Mass

A triangle with one angle that is greater than 90 degrees. Obtuse Triangle

A four-sided polygon with both pairs of opposite sides parallel. Parallelogram

The numerical value of the ratio of the circumference of a circle to its diameter Pi

Any plane figure bounded by straight lines. Polygon

A solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms. Prism

A four-sided polygon. Quadrilateral

A straight line from the center to the circumference of a circle or sphere. Radius

A parallelogram with 90 degree angles. A square is also a rectangle. Rectangle

A triangle that has a 90 degree angle. Right Triangle

A regular polygon with four equal sides and four 90 degree angles. Square

The squared dimensions of the exterior surface Surface Area

A straight or curved line that intersects a circle or arc at one point only. Tangent

A polygon with three sides. Triangle

The amount of three-dimensional space occupied by an object or enclosed within a container. Volume

A four-sided polygon. Quadrilateral

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a plane figure with ten straight sides and angles. decagon

a part of a figure cut off by a line or plane intersecting it, in particular. segment

both parts have the same truth value biconditional

statements that are assumed to be true without proof proof

line that cuts across two or more (usually parallel) lines. ... It cuts across the parallel lines PQ and RS. If it crosses the parallel lines at right angles transversal

add up to 180 supplementary

When three or more points lie on a straight line. collinear

one shape becomes exactly like another if you flip, slide or turn it. symmetry

A 4-sided flat shape with straight sides where: • all sides have equal length, and • every interior angle is a right angle (90°) square

A ray is part of a line, has one fixed endpoint, and extends infinitely along the line from the endpoint. ray

an if-then statement in which p is a hypothesis and q is a conclusion. conditional

t angles are two angles that have a common vertex and a common side adjacent

A 3-sided polygon triangle

line that extends from one vertex of a triangle perpendicular to the opposite side. altitude

A 9-sided polygon nonagon

Switching the hypothesis and conclusion of a conditional statement. converse

A point where two or more straight lines meet vertex

add up to 90 complementary

A set of points, lines, line segments, rays or any other geometrical shapes that lie on the same plane coplanar

A circular movement rotation

A 4-sided flat shape with straight sides where all interior angles are right angles (90°). rectangle

s straight (no curves), • has no thickness, and • extends in both directions without end infinitely line

circumference. perimeter

"then" part of a conditional statement. conclusion

any 2-dimensional shape formed with straight lines. polygon

7-sided polygon or 7-gon. heptagon

longest side hypotenuse

prove the boundaries of possible theorems. counterexample

Sliding translation

The length of the opposite side divided by the length of the adjacent side. tangent

A shape, formed by two lines or rays diverging from a common point angle

four sides all have the same length. rhombus

statement formed by interchanging theorem

A triangle with all sides of different lengths. scalene

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Ice cream Cone

The sum of the areas of the faces Surface Area

A three-dimensional figure with all point the same Sphere

A polydendron with polygon base and triangular sides Pyramid

The set of all point in a plane that are the smae distance from a given point Circle

The distance around a circle Circumference

A three-dimensional figure with two parallel, congruent circular bases connected by a curved lateral surface Cylinder

A line segment that passes throgh the center of a circle Diameter

A polyhedrom that has two congruent, polygon-shaped bases and other faces that are all parallelograms Prism

The distance around a polygon Perimeter

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branch of mathematics that deals with points, lines, planes, and solids and examines their properties geometry

has no size, length, width, or height. represented by a dot and named by a capital letter point

set of all points space

points that lie on the same line collinear points

points that lie on the same plane coplaner points

line that consists of two points and all points between them segment

the part of a line that contains an endpoint and all other points extending in the other direction ray

things measuring to the same size or length congruent

a point that divides a segment into two congruent parts midpoint

angle whose measure is between 0 and 90 degrees acute angle

an angle that measures 90 degrees right angle

an angle whose measure is greater than 90 but less than 180 degrees obtuse angle

an angle whose measure is 180 degrees straight angle

triangle with no sides congruent scalene

triangle that has a right angle included right triangle

two angles whose sum is 90 degrees complementary

two angles whose measures sum up to 180 degrees supplementary

line that intersects a circle in two points secant

segment that connects two ponts on a circle chord

comparison of two numbers by divison ratio

congruent polygons lying in parallel planes bases

equation that sates two ratios are equal proportion

parellelogram with consecutive sides congruent rhombus

four sided figure with all sides congruent square

a line segment with two points on a cirlce that passes through the center diameter

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part of a line that is bounded by two distinct end points segment

2 angles that add up to 180 degrees supplementary

exactly similar parts facing each other or around an axis. symmetry

a figure with four equal straight sides and four right angles square

A line with a start point but no end point ray

having a common vertex and a common side adjacent

a figure with three straight sides and three angles triangle

a nine-sided figure nonagon

a transformation in which the figure is reflected across a line, creating a mirror image reflection

a quadrilateral with only one pair of parallel sides trapezoid

at an angle of 90° to a given line perpendicular

each angular point of a polygon vertex

2 angles that add up to 90 degrees complementary

a transformation in which the figure is turned around a fixed center point rotation

a figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square rectangle

A long thin mark made by a pen line

the continuous line forming the boundary of a closed figure perimeter

a figure with at least three straight sides and angles polygon

a seven-sided figure heptagon

the longest side of a right triangle hypotenuse

a transformation in which every point of the figure is moved in the same direction and for the same distance translation

the space between two intersecting lines or surfaces at or close to the point where they meet angle

a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides rhombus

a triangle that has three unequal sides scalene

a transformation in which the figure is enlarged or decreased in size dilation

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a triangle that has all equal sides and anles is considered an __________ triangle. Name starts with an "e" equilateral

a triangle with no congruent sides. Name starts with an "s". scalene

In this triangle, it has 2 congruent sides. Name starts with an "i". isosceles

coplainar lines that do not intersect. Lines never end. parallel

when the y-axis and x-axis change by a ratio. Many graphs have this type of diagonal. slope

transformation that turns every point. makes a figure move 360 degrees among a point is called _________. Name starts with an "r". rotation

a transformation representing a flip.When a figure flips over the or x-axis it is called a _________. reflection

a transformation that slides a figure. This word starts with a "t" translation

this angle is more than 90 degrees. This angle starts with an "o". obtuse

in a polygon, a segment that connects nonconsecutive vertices of the polygon. Line is neither horizontal nor vertical. diagonal

a quadrilateral with parallel opposite sides. Any sides can be called a base. (square,rhombus,rectangle) parallelogram

a quadrilateral with 4 right angles. Considered a parallelogram. rectangle

a quadrilateral with 4 congruent sides. considered a parallelogram. rhombus

a quadrilateral with 4 right angles and 4 congruent sides, Considered a parallelogram. square

a quadrilateral with one pair of parallel sides. Two base angles. trapezoid

this angle is less than 90 degrees. Angle starts with an "a" acute

a transformation that enlarges or reduces the original figure. Gets smaller or bigger. dilation

a __________ angle forms a perfect 90 degrees. Angle name starts with a "r" right

common endpoints of a figure. The "points" vertex

all figures have one of theses. The ________ encloses a figure. Word starts with a "s" side

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Always opposite of the right angle of the right triangle Hypotenuse

Will always makeup part of the angle that is being discussed and not be the hypotenuse Adjacent Side

Will never form part of the angle being discussed Opposite side

Opposite/Hypotenuse Sine

Adjacent/Hypotenuse Cosine

Opposite/Adjacent Tangent

A triangle with a right angle Right triangle

A special right triangle with two congruent angle 45-45-90 Triangle

Two sides with with equal lengths Isosceles Triangle

Special right triangle that uses the ratio 1:Radical of 3:2 30-60-90 Triangle

a^2+b^2=c^2 Pythagorean Therom

Angle that is always 90 degrees Right Angle

A plane figure with three straight sides and three angles Triangle

Branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant function of any angles Trigonometry

Identical in form, size and angles Congruent

Inverse of sin Sin^-1

Inverse of Cosine Cos^-1

Inverse of Tangent Tan^-1

The angle sum of a triangle 180 Degrees

Is used to show which lines are parallel \

If all sides are the same on both of the triangle then they are congruent SSS Postulate

If two sides and the angle between them are the same then they are congruent SAS Postulate

Another word for height Altitude

In a triangle it is the line segment drawn from a vertex to the midpoint Median

If two angles are the same for two triangle then they are the same AA Postulate