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ACUTE TRIANGLE... Draw and label an acute…

OBTUSE TRIANGLE... What types of angles a…

RIGHT TRIANGLE... What term(s) describes…

EQUIANGULAR TRIANGLE... Explain why each…

One is obtuse and the other two are acute.

ACUTE and COMPLEMENTARY

The sum of the angles of a triangle is 180 degrees and 180 di…

ACUTE TRIANGLE... Draw and label an acute…

OBTUSE TRIANGLE... What types of angles a…

One is obtuse and the other two are acute.

bases

bisect

circle

concentric circles

the congruent parallel polygons that form the "top" and "bott…

to divide into two congruent parts

the set of all points on a flat surface that are the same dis…

circles that have the same center

bases

the congruent parallel polygons that form the "top" and "bott…

bisect

to divide into two congruent parts

Line

Line Segment

Ray

Transversal

a set of points that moves forever in opposite directions ↔

a part of a line that has two end points. ... (Measureable)

a set of points with one end point

a line that intersects (touches) 2 or more lines

Line

a set of points that moves forever in opposite directions ↔

Line Segment

a part of a line that has two end points. ... (Measureable)

bases

bisect

circle

concentric circles

the congruent parallel polygons that form the "top" and "bott…

to divide into two congruent parts

the set of all points on a flat surface that are the same dis…

circles that have the same center

bases

the congruent parallel polygons that form the "top" and "bott…

bisect

to divide into two congruent parts

point line plane postulate

Unique line assumption

number line assumption

dimension assumption

1. through any two points there is exactly one line. 2. a lin…

through any two points, there is exactly one line.

every line is a set of points that can be put into a one-to-o…

1) given a line in a plane, there is at least one point in th…

point line plane postulate

1. through any two points there is exactly one line. 2. a lin…

Unique line assumption

through any two points, there is exactly one line.

transformation

reflection

line of reflection

isometry

In a pane, a mapping for which each point has exactly one ima…

A transformation representing a flip of the figure over a poi…

A line through a figure that separates the figure into two mi…

A mapping for which the original figure and its image are con…

transformation

In a pane, a mapping for which each point has exactly one ima…

reflection

A transformation representing a flip of the figure over a poi…

Ratio

Proportion

Cross Products

Geometric Mean

A comparison of two quantities

An equation that states that two ratios are equal

In a proportion, if a/b=c/d, then a**d = b**a

In a proportion, If a/b = x/b, the geometric mean ... of a and b…

Ratio

A comparison of two quantities

Proportion

An equation that states that two ratios are equal

Line of reflection

Translation vector

Center of rotation

Angle of rotation

Each point of the primage and its corresponding point on the…

A translation is a function that maps each point to its image…

A rotation about a fixed point, through an angle of x degrees

The angle that the preimage was rotated to form the image

Line of reflection

Each point of the primage and its corresponding point on the…

Translation vector

A translation is a function that maps each point to its image…

congruent circles

concentric circles

radius

chord

same diameter

share the same center or axis

the length of a line segment from its center to its perimeter

straight line segment whose endpoints both lie on the circle

congruent circles

same diameter

concentric circles

share the same center or axis

circle

radius

chord

diameter

the set of all points in a plane that are equidistant from a…

a segment whose endpoints are the center of a circle and any…

a segment whose endpoints are on a circle

a chord that contains the center of the circle

circle

the set of all points in a plane that are equidistant from a…

radius

a segment whose endpoints are the center of a circle and any…

complementary angles

supplementary angles

vertical angles

adjacent angles

either of two angles whose sum is 90°

either of two angles whose sum is 180°.

each of the pairs of opposite angles made by two intersecting…

have a common side and a common vertex (corner point) and don…

complementary angles

either of two angles whose sum is 90°

supplementary angles

either of two angles whose sum is 180°.

Transformation

Rigid or Congruence Transformation

Examples of Rigid Transformation

Non-Rigid or Similarity Transformation

changes the orientation, location, and size of a figure

a transformation where the figure maintains its shape and size

reflection, translation, rotation

a transformation where the figure maintains its shape but not…

Transformation

changes the orientation, location, and size of a figure

Rigid or Congruence Transformation

a transformation where the figure maintains its shape and size

Transformation

Preimage

Image

Isometry

Four specific ways to manipulate the shape of a point, a line…

The set of arguments of a function corresponding to a particu…

Image is the resulting point or set of points under a transfo…

The distance between any two points in the preimage must be t…

Transformation

Four specific ways to manipulate the shape of a point, a line…

Preimage

The set of arguments of a function corresponding to a particu…

polygon

diagonal of a polygon

Convex polygon

concave polygon

a closed plane figure formed by three or more line segments

Any segment that connects 2 nonconsecutive (nonadjacent) vert…

a polygon in which no line that contains a side of the polygo…

a polygon that has an indentation

polygon

a closed plane figure formed by three or more line segments

diagonal of a polygon

Any segment that connects 2 nonconsecutive (nonadjacent) vert…

Tangent-Radius Property

Angle-Sum Property

Pythagorean Theorem

Centre Point

A tangent is perpendicular (forms right angle) to the radius…

The sum of the 3 angles in a triangle is always 180°

a² + b² = c²

The point at the perfect centre of the circle.

Tangent-Radius Property

A tangent is perpendicular (forms right angle) to the radius…

Angle-Sum Property

The sum of the 3 angles in a triangle is always 180°

transformation

preimage

image

rigid motion

a function, or mapping that results in a change in the positi…

the original figure in a transformation; "the before"

the resulting figure in a transformation; "the after"

a transformation that preserves distance and angle measures;…

transformation

a function, or mapping that results in a change in the positi…

preimage

the original figure in a transformation; "the before"

Rectangle

Diagnols of a Rectangle

Converse of Diagnols of a Rectangle

Rhombus

A parallelogram with four right angles

If a parallelogram is a rectangle, then its diagonals are con…

If the diagonals of a parallelogram are congruent, then the p…

A parallelogram with 4 congruent sides

Rectangle

A parallelogram with four right angles

Diagnols of a Rectangle

If a parallelogram is a rectangle, then its diagonals are con…

Pythagorean Triple

Perfect Square

Pythagorean Theorem

Integer

a set of three positive integers a, b, & c that satisfy the e…

a positive number whose square root is a whole number

in a right triangle, the square of the length of the hypotenu…

the set of whole numbers and their opposites

Pythagorean Triple

a set of three positive integers a, b, & c that satisfy the e…

Perfect Square

a positive number whose square root is a whole number

Reflection

Line Of Reflection

Isometry

Line of Symmetry

A transformation that flips a figure.

A line that separates two reflected figures.

States that a reflection is a congruence transformation.

A line that divides a plane figure so it is reflected.

Reflection

A transformation that flips a figure.

Line Of Reflection

A line that separates two reflected figures.

Transformation

Preimage

Image

Rigid Motion

A change in position, size, or shape of a geometric figure.

Original figure before a transformation. (Ex. Triangle ABC)

Resulting figure after a transformation. (Ex. Triangle A'B'C')

Transformation in the plane that preserves distance and angle…

Transformation

A change in position, size, or shape of a geometric figure.

Preimage

Original figure before a transformation. (Ex. Triangle ABC)

Converse

Right Triangle

Altitude

Proportion

the "If" and "Then" parts of the sentence are switched.

A triangle with a right angle which is 90 degrees

A line segment through a vertex and perpendicular line contai…

an equation stating two ratios are equal

Converse

the "If" and "Then" parts of the sentence are switched.

Right Triangle

A triangle with a right angle which is 90 degrees

line

segment

ray

collinear

figure that extends in two directions with no endpoints

figure that has two endpoints

figure with one endpoint that extends in one direction

points on the same line

line

figure that extends in two directions with no endpoints

segment

figure that has two endpoints

Transformation

Rigid or Congruence Transformation

Examples of Rigid Transformation

Non-Rigid or Similarity Transformation

changes the orientation, location, and size of a figure

a transformation where the figure maintains its shape and size

reflection, translation, rotation

a transformation where the figure maintains its shape but not…

Transformation

changes the orientation, location, and size of a figure

Rigid or Congruence Transformation

a transformation where the figure maintains its shape and size

9.1 isometry

9.4 composition of transformations

9.4 glide reflection

9.5 symmetry

a transformation that does not change the shape or size of a…

one transformation followed by another

the composition of a translation and a reflection across a li…

a figure in which a transformation of the figure coincides wi…

9.1 isometry

a transformation that does not change the shape or size of a…

9.4 composition of transformations

one transformation followed by another

Alternate Interior Angles

Consecutive Interior Angles

Alternate Exterior Angles

Corresponding Angles

Located on the interior of the lines, on opposite sides of th…

Located on the interior of the lines, on the same side of the…

Located on the exterior of the lines, on opposite sides of th…

Located on the interior and exterior of the lines, on the sam…

Alternate Interior Angles

Located on the interior of the lines, on opposite sides of th…

Consecutive Interior Angles

Located on the interior of the lines, on the same side of the…

Compositions of Transformations

Congruence Transformations/Isometry

Dilation

Glide Reflection

when a second transformation is performed on the image of a f…

transformation in which an original figure and its image are…

a transformation of a figure by reducing or enlarging it with…

composition of a translation followed by a reflection across…

Compositions of Transformations

when a second transformation is performed on the image of a f…

Congruence Transformations/Isometry

transformation in which an original figure and its image are…

angle of depression

angle of elevation

cosine

geometric mean

The angle that a downward line of sight makes with a horizont…

The angle that an upward line of sight makes with a horizonta…

A trigonometric ratio for acute angles that involves the leng…

The positive number x that satisfies a/x = x/b... So, x² = ab an…

angle of depression

The angle that a downward line of sight makes with a horizont…

angle of elevation

The angle that an upward line of sight makes with a horizonta…

transformation

translation

<a,b>

(x,y)

a mapping of a figure resulting in a change in the position,…

a transformation moving every point in the same distance & di…

what to translate by

point/ordered pair

transformation

a mapping of a figure resulting in a change in the position,…

translation

a transformation moving every point in the same distance & di…

transformation

image

translation

reflection

a function, or mapping, that results in a change of the posit…

resulting figure

a transformation that maps all pts of a figure the same dista…

is a transformation with the following properties:... if a point…

transformation

a function, or mapping, that results in a change of the posit…

image

resulting figure

Transformation

Preimage

Image

Rigid motion

A function or mapping that results in a change in the positio…

The original figure

The resulting figure

A transformation that preserves distance and angle measures

Transformation

A function or mapping that results in a change in the positio…

Preimage

The original figure

Transformation

Isometry

Preimage

Image

A change in its position, shape, or size. (a geometric figure)

Transformation in which the preimage and image are congruent

The original figure

The resulting figure

Transformation

A change in its position, shape, or size. (a geometric figure)

Isometry

Transformation in which the preimage and image are congruent

angle of rotation

angle of rotational symmetry

center of dilation

center of rotation

an angle formed by a rotating ray, called the terminal side,…

The smallest angle through which a figure with rotational sym…

The intersection of the lines that connect each point of the…

The point around which a figure is rotated.

angle of rotation

an angle formed by a rotating ray, called the terminal side,…

angle of rotational symmetry

The smallest angle through which a figure with rotational sym…

angle of rotation

axis of symmetry

center of rotation

composition of transformation

the angle through which a preimage is rotated to form the ima…

symmetry in a 3-D figure that occurs if the figure can be map…

a fixed point around which shapes move in a circular motion t…

the resulting transformation when a transformation is applied…

angle of rotation

the angle through which a preimage is rotated to form the ima…

axis of symmetry

symmetry in a 3-D figure that occurs if the figure can be map…

reference angle

opposite side

adjacent side

rationalizing the denominator

the angle of the triangle that you are looking at

the side opposite the reference angle

the side adjacent to the reference angle that is not the hypo…

the process of rewriting a fraction so that no irrational num…

reference angle

the angle of the triangle that you are looking at

opposite side

the side opposite the reference angle

Parallelogram Area Conjecture

Triangle Area Conjecture

Trapezoid Area Conjecture

Kite Area Conjecture

the area of a parallelogram is given by the formula A=bh wher…

the area of a triangle is given by the formula A+1/2 bh A bei…

the area of a trapezoid is given by the formula A= 1/2(b1=b2)…

the area of a kite is given by the formula A=1/2 D1 x D2

Parallelogram Area Conjecture

the area of a parallelogram is given by the formula A=bh wher…

Triangle Area Conjecture

the area of a triangle is given by the formula A+1/2 bh A bei…

Definition of Quadrilateral

Parallogram

Definition of Parallelogram

Definition of a Rectangle

1.) Parallelogram... 2.) Rhombus... 3.) Trapezoid... 4.) Rectangle... 5.)…

A parallelogram is a quadrilateral that has 2 pairs of opposi…

1.) Opposite sides are congruent... 2.) Opposite angles are cong…

4 right angles

Definition of Quadrilateral

1.) Parallelogram... 2.) Rhombus... 3.) Trapezoid... 4.) Rectangle... 5.)…

Parallogram

A parallelogram is a quadrilateral that has 2 pairs of opposi…

Transformation

Preimage

Image

Isometry

a thorough or dramatic change in form or appearance

of a particular subset S of the codomain of a function is the…

The new position of a point, a line, a line segment, or a fig…

is invariant with respect to distance

Transformation

a thorough or dramatic change in form or appearance

Preimage

of a particular subset S of the codomain of a function is the…

Congruence transformation

Dilation

Image

Isometry

A transformation that preserves length and angle measure

A transformation that stretches or shrinks a figure to create…

The new figure that is produced in a transformation

The distance between two given points that is the same distan…

Congruence transformation

A transformation that preserves length and angle measure

Dilation

A transformation that stretches or shrinks a figure to create…

angle of depression

angle of elevation

component form

cosine

the angle formed by a horizontal line and a sight to a point…

the angle formed by a horizontal line and a line of sight to…

the form of a vector that lists the vertical and horizontal c…

in a right triangle angle A is the ratio of the length of the…

angle of depression

the angle formed by a horizontal line and a sight to a point…

angle of elevation

the angle formed by a horizontal line and a line of sight to…

Vertically opposite angles are...

Angles on a straight line add to...

Isosceles Triangle

Obtuse Angle

equal

180 degrees

Two sides the same length, and two angles the same size

Measures between 90 and 180 degrees

Vertically opposite angles are...

equal

Angles on a straight line add to...

180 degrees

Circle

Radius

Radii

Chord

shape consisting of points in a plane which are equidistant f…

a line from the center of the circle to any point on the circle

more than one radius

a line segment that links two points on a circle

Circle

shape consisting of points in a plane which are equidistant f…

Radius

a line from the center of the circle to any point on the circle

Rigid motion

Preimage

Image

Translation

A transformation that preserves distance and angle measures

In a transformation, the original figure

Resulting figure in a transformation

A transformation that maps all points of a figure the same di…

Rigid motion

A transformation that preserves distance and angle measures

Preimage

In a transformation, the original figure