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Perimeter

Area

Perimeter - Square

Area - Square

The sum of the lengths of the sides of a polygon. (P)

The number of square units a polygon encloses. (A)

Side length is s, P=4s

Side length is s, A=s²

Perimeter

The sum of the lengths of the sides of a polygon. (P)

Area

The number of square units a polygon encloses. (A)

radius (regular polygon)

polygon

remote interior angles

linear scale factor

a line segment that connects the center of a regular polygon…

a two-dimensional closed figure of three or more line segment…

when a triangle has an exterior angles, these angles are the…

the ratio of similarity. the ratio of any pair of correspondi…

radius (regular polygon)

a line segment that connects the center of a regular polygon…

polygon

a two-dimensional closed figure of three or more line segment…

Ratio of a to b

Proportion

Extremes

Means

If a and b are to quantities that are measured in the same un…

An equation that equates two ratios.

In proportion a/b=c/d, they are a and d.

In proportion a/b=c/d, they are b and c.

Ratio of a to b

If a and b are to quantities that are measured in the same un…

Proportion

An equation that equates two ratios.

radius (regular polygon)

polygon

remote interior angles

linear scale factor

a line segment that connects the center of a regular polygon…

a two-dimensional closed figure of three or more line segment…

when a triangle has an exterior angles, these angles are the…

the ratio of similarity. the ratio of any pair of correspondi…

radius (regular polygon)

a line segment that connects the center of a regular polygon…

polygon

a two-dimensional closed figure of three or more line segment…

Geometric Mean

Triangle Hypotenuse Altitude Theorem

Geometric Mean (Altitude) Theorem

Geometric Mean (Leg) Theorem

The positive root of the product of two numbers

If the altitude is drawn to the hypotenuse of a right triangl…

The altitude drawn to the hypotenuse of a right triangle sepa…

The altitude drawn to the hypotenuse of a right triangle sepa…

Geometric Mean

The positive root of the product of two numbers

Triangle Hypotenuse Altitude Theorem

If the altitude is drawn to the hypotenuse of a right triangl…

altitude of a triangle

centroid of a triangle

circumcenter of a triangle

circumscribed circle

a perpendicular segment from a vertex to the line containing…

the point of concurrency of the three medians of a triangle;…

the point of concurrency of the three perpendicular bisectors…

every vertex of the polygon lies on the circle

altitude of a triangle

a perpendicular segment from a vertex to the line containing…

centroid of a triangle

the point of concurrency of the three medians of a triangle;…

point

line

line segment

ray

an exact location in space

A set of points that goes on forever in both directions.

Part of a line that has two endpoints.

part of a line that has an endpoint and extends forever in on…

point

an exact location in space

line

A set of points that goes on forever in both directions.

reflection

line of reflection

pre image

image

A transformation that "flips" a figure over a mirror or line.

A line that a figure is flipped across to create a mirror ima…

The original geometric figure

figure after a reflection

reflection

A transformation that "flips" a figure over a mirror or line.

line of reflection

A line that a figure is flipped across to create a mirror ima…

Transformation

Translation

Reflection

Dilation

The movement of a geometric figure

A slide of the figure

A transformation that "flips" a figure over a mirror or refle…

A transformation that changes the size of an object, but not…

Transformation

The movement of a geometric figure

Translation

A slide of the figure

adjacent angles

alternate exterior angles

alternate interior angles

supplementary angles

side by side angles that share a common vertex and a ray

angles that lie outside a pair of parallel lines and on oppos…

Angles that lie within a pair of parallel lines and on opposi…

Angles that add to 180 degrees (can be adjacent or non-adjace…

adjacent angles

side by side angles that share a common vertex and a ray

alternate exterior angles

angles that lie outside a pair of parallel lines and on oppos…

equal

nonzero

largest

pythagorean thm:... in a right triangle, the sum of the squares…

pythagorean triple: a set of _____... numbers that satisfy the e…

to simplify (or reduce) a radical:... 1. find the ______ perfect…

equal

pythagorean thm:... in a right triangle, the sum of the squares…

nonzero

pythagorean triple: a set of _____... numbers that satisfy the e…

Proportion

proportion 1

proportion 2

proportion 3

setting 2 fractions equal to eachother

setting cross products equal to eachother

rearranging or flipping the fraction and then setting them eq…

making the numerators a fraction and the denominators a fract…

Proportion

setting 2 fractions equal to eachother

proportion 1

setting cross products equal to eachother

Equilateral triangle

Isosceles triangle

Scalene triangle

Right angle triangle

All sides equal, interior angles 60°

2 sides equal, 2 congruent angles (opposite angles equal)

No sides or angles equal

1 right angle 90°

Equilateral triangle

All sides equal, interior angles 60°

Isosceles triangle

2 sides equal, 2 congruent angles (opposite angles equal)

Right Angle... زاوية مستقيمة

Obtuse Angle... زاوية منفرجة

Acute Angle... زاوية حادة

Supplementary Angles... الزوايا التكميلية

Angle that measures 90 degrees

Angle that measures greater than 90 degrees and less than 180…

Angle that measures less than 90 degrees

2 angles that add up to equal 180 degrees

Right Angle... زاوية مستقيمة

Angle that measures 90 degrees

Obtuse Angle... زاوية منفرجة

Angle that measures greater than 90 degrees and less than 180…

median of a triangle

altitude of a triangle

perpendicular bisector

angle bisector

a segment whose endpoints are a vertex and the midpoint of th…

A perpendicular segment from a vertex to the line containing…

a segment, ray, line, or plane that is perpendicular to a seg…

a ray that divides an angle into two congruent angles

median of a triangle

a segment whose endpoints are a vertex and the midpoint of th…

altitude of a triangle

A perpendicular segment from a vertex to the line containing…

Point

Line

Segment

Ray

a specific location on a coordinate plane.

A straight path that extends without end in opposite directio…

A part of a line between two endpoints.

a straight line extending from a point

Point

a specific location on a coordinate plane.

Line

A straight path that extends without end in opposite directio…

coordinate plane

x-axis

y-axis

quadrants

A grid formed by a horizontal number line called the x-axis a…

the horizontal number line on a coordinate plane

The vertical number line on a coordinate plane.

one of the four regions into which the x and y axes separate…

coordinate plane

A grid formed by a horizontal number line called the x-axis a…

x-axis

the horizontal number line on a coordinate plane

Diagonal

Endpoint

Midpoint

Distance formula

A line segment that connects two nonconsecutive vertices of a…

A point at the end of a ray, either end of a line segment, or…

The point halfway between the endpoints of a line segment

The formula that gives the distance between two points on a c…

Diagonal

A line segment that connects two nonconsecutive vertices of a…

Endpoint

A point at the end of a ray, either end of a line segment, or…

definition of a line

definition of intersecting lines

definition of intersecting planes

definition of a plane

through any two points there is exactly one line.

if two distinct lines intersect then they intersect in exactl…

if two distinct planes intersect, then they intersect in exac…

through any noncollinear points there is exactly one plane

definition of a line

through any two points there is exactly one line.

definition of intersecting lines

if two distinct lines intersect then they intersect in exactl…

Space

Cone

Cylinder

Pyramid with a square base

the set of all points. Cannot be contained in a flat surface…

Has a circular base and sides that rise to a point.

Has 2 circular bases.

A square base that has sides that meet at a point.

Space

the set of all points. Cannot be contained in a flat surface…

Cone

Has a circular base and sides that rise to a point.

adjacent angles

alternate exterior angles

alternate interior angles

supplementary angles

side by side angles that share a common vertex and a ray

angles that lie outside a pair of parallel lines and on oppos…

Angles that lie within a pair of parallel lines and on opposi…

Angles that add to 180 degrees (can be adjacent or non-adjace…

adjacent angles

side by side angles that share a common vertex and a ray

alternate exterior angles

angles that lie outside a pair of parallel lines and on oppos…

What is a translation?

The image of a polygon

In a polygon rotation, do you have to…

Rigid transformation examples

A movement of all the points in the same direction for the sa…

The new set of points of the polygon after a transformation

No, you can rotate around any location on the plane

Translation, rotation, reflection

What is a translation?

A movement of all the points in the same direction for the sa…

The image of a polygon

The new set of points of the polygon after a transformation

CORRESPONDING ANGLES

DEDUCTIVE REASONING

EXTERIOR ANGLE OF A TRIANGLE

REMOTE INTERIOR ANGLES

Angles that lie on the same side of a transversal and in corr…

A process of reasoning logically from given facts to a conclu…

An angle formed by a side of the triangle and an extension of…

The interior angles of a triangle that are not adjacent to a…

CORRESPONDING ANGLES

Angles that lie on the same side of a transversal and in corr…

DEDUCTIVE REASONING

A process of reasoning logically from given facts to a conclu…

geometry

1/2 x b x h

base

clockwise

a branch of math that deals with the properties of points, li…

formula for the area of a triangle

the "bottom" part of a triangle

the same direction that the hands of a clock turn

geometry

a branch of math that deals with the properties of points, li…

1/2 x b x h

formula for the area of a triangle

Theorem 8.1: Polygon Interior Angles T…

Corollary to Theorem 8.1: Interior Ang…

Theorem 8.2

parallelogram

The sum of the measures of the interior angles of a convex n-…

The sum of the measures of the interior angles of a quadrilat…

The sum of the measures of the exterior angles of a convex po…

a quadrilateral with both pairs of opposite sides parallel

Theorem 8.1: Polygon Interior Angles T…

The sum of the measures of the interior angles of a convex n-…

Corollary to Theorem 8.1: Interior Ang…

The sum of the measures of the interior angles of a quadrilat…

Pythagorean Theorem

Pythagorean Triple

Converse of the Pythagorean Theorem

Theorem 8-3

a² + b² = c²

a set of nonzero whole numbers a, b, and c that make the equa…

If the sum of the squares of the lengths of two sides of a tr…

If the square of the length of the longest side of a triangle…

Pythagorean Theorem

a² + b² = c²

Pythagorean Triple

a set of nonzero whole numbers a, b, and c that make the equa…

Area of a plane

Base

Altitude

Height

the measure of the region enclosed by the figure.

any side of a rectangle

any segment from one side of a parallelogram perpendicular to…

length of the side that is perpendicular to the base.

Area of a plane

the measure of the region enclosed by the figure.

Base

any side of a rectangle

Diagonal

Parallelogram

Rhombus

Rectangle

a line segment joining two nonconsecutive vertices of a polyg…

a quadrilateral whose opposite sides are both parallel and eq…

A parallelogram with four equal sides

A parallelogram with four right angles

Diagonal

a line segment joining two nonconsecutive vertices of a polyg…

Parallelogram

a quadrilateral whose opposite sides are both parallel and eq…

quadrilateral

360

less than

trapezoid

A ______ is a polygon that has four sides.

The sum of the interior angles of any quadrilateral is _____…

The length of a line segment drawn from any vertex of an equi…

A ______ is a quadrilateral which has exactly ONE pair of par…

quadrilateral

A ______ is a polygon that has four sides.

360

The sum of the interior angles of any quadrilateral is _____…

Point

Line

Line Segment

Angle

The exact point or location on a surface.

A straight one-dimensional figure, having no thickness and ex…

Part of a line that is bounded by two distinct end points, an…

The space between two intersecting lines or close to they poi…

Point

The exact point or location on a surface.

Line

A straight one-dimensional figure, having no thickness and ex…

ratio of a to b

proportion

means

extremes

a:b, if a and b are measured in the same units. The denominat…

an equation that equates two ratios... a/b = c/d

the numbers b and c of the proportion

the numbers a and d of the proportion

ratio of a to b

a:b, if a and b are measured in the same units. The denominat…

proportion

an equation that equates two ratios... a/b = c/d

Pythagorean Theorem

Pythagorean Triple

Obtuse Triangle

Acute Triangle

A triangle is a right if the sum of the squares of the length…

a set of nonzero whole numbers a, b, and c that make the equa…

The square of the length of the longest side of a triangle is…

The square of the length of the longest side of a triangle is…

Pythagorean Theorem

A triangle is a right if the sum of the squares of the length…

Pythagorean Triple

a set of nonzero whole numbers a, b, and c that make the equa…