TAKES MATH TAKES MATH OBJECTIVE 6 OBJECTIVE 6

VOCABVOCAB

CONGRUENTCONGRUENT

Vertical angles are Vertical angles are always ____.always ____.

1

2

SUPPLEMENTARYSUPPLEMENTARY

Two angles whose sum is Two angles whose sum is 180180 . .

EB

A

C

D

F

COMPEMENTARYCOMPEMENTARY

Two angles whose sum is Two angles whose sum is 9090 . .

Allow students to draw the angle pair with values.

180180

The sum of the interior The sum of the interior angles of a triangle. angles of a triangle.

2

1 3

360360The sum of the exterior angles (one The sum of the exterior angles (one

at each vertex) of ANY convex at each vertex) of ANY convex

polygon. polygon.

SIMILARSIMILAR

Polygons whose shape is the same Polygons whose shape is the same

but size may be different are ___.but size may be different are ___.

CONGRUENTCONGRUENT

Polygons whose shape and size Polygons whose shape and size

are the same are ___. are the same are ___.

SIMILARSIMILARPolygons whose corresponding Polygons whose corresponding

angles are congruent and sides are angles are congruent and sides are proportional are ___.proportional are ___.

Allow students to show graphic representation and write the proportion too.

CORRESPONDINGCORRESPONDING

Another word for Another word for "matching". "matching".

PROPORTIONALPROPORTIONAL

The lengths of corresponding sides The lengths of corresponding sides

of similar triangles are ___. of similar triangles are ___.

TANGENTTANGENTA line that intersects a circle at only A line that intersects a circle at only

one point is a(n) ___ to a circle. one point is a(n) ___ to a circle.

.

A tangent to a circle A tangent to a circle always forms always forms

a(n) ___ with the radius a(n) ___ with the radius of the circle.of the circle.

RIGHT ANGLERIGHT ANGLE

.

Part of the Part of the circumference is circumference is called a(n) ___.called a(n) ___.

ARCARC

The segment formed by The segment formed by joining the midpoints joining the midpoints

of two sides of a of two sides of a triangle are ___.triangle are ___.

PARALLELPARALLEL

TESSELLATIONTESSELLATION

A repeating pattern of figures that A repeating pattern of figures that completely fills a plane with no completely fills a plane with no

gaps is a(n) ___. gaps is a(n) ___.

Allow students to demonstrate using the equilateral triangle above.

FRACTALFRACTAL

A self similar figure is A self similar figure is a(n) ___.a(n) ___.

Pythagorean Pythagorean tripletriple

Three whole numbers that satisfy Three whole numbers that satisfy

the Pythagorean Theorem. the Pythagorean Theorem.

3, 4, & 55, 12, & 13

Pythagorean Pythagorean theoremtheorem

2 2 2a b c

Allow students to name the two triangles for which this can be applied.

The sidesThe sides“1" ,“2" and "“1" ,“2" and "3" - a 3" - a

special right trianglespecial right triangle

3030-60-60-90-90 triangletriangle

““one" "one" "square one" "one" "square root of two" - a root of two" - a

special right trianglespecial right triangle

4545-45-45-90-90

Hypot-"two"-nuse Hypot-"two"-nuse

A corny way to remember where A corny way to remember where

the "2" goes for special rightthe "2" goes for special right

triangles.triangles.

Hypotenuse Hypotenuse

The longest side of a right The longest side of a right triangle is called the ___. triangle is called the ___.

legslegs

The sides of a right triangle that The sides of a right triangle that

make up the right angle are make up the right angle are

called ___s. called ___s.

30 degree30 degree

On the 30On the 30-60-60-90-90 triangle the triangle the

shortest leg is across from the shortest leg is across from the ___ angle.___ angle.

90 degree90 degreeOn the 30On the 30-60-60-90-90 triangle the triangle the

hypotenuse is across from thehypotenuse is across from the

___ angle.___ angle.

The sameThe sameOn the 45On the 45-45-45-90-90 triangle the legs triangle the legs

are ___ length.are ___ length.

translationtranslationThe geometric word for The geometric word for

slide.slide.

ReflectionReflection

The geometric word for The geometric word for flip. flip.

Each point of the Each point of the image moves the image moves the

same distance same distance and direction.and direction.

TranslationTranslation

Each point is the same Each point is the same distance from a line distance from a line

separating the original separating the original from its image.from its image.

reflectionreflection

Each point is moved the Each point is moved the same number of same number of

degrees in a circle degrees in a circle around a point.around a point.

RotationRotation

To find the area To find the area of a border...of a border...

Subtract the area of the Subtract the area of the inside from the area of the inside from the area of the

outside.outside.

PerimeterPerimeter

The length around an The length around an object.object.

AreaAreaThe space inside The space inside

an object. an object.