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Engaging Titles

Introductions

Purpose of the Introduction

Introductions to Avoid

use a contrast that produces surprise ... use three words ... use a…

start with dramatic incident ... stat with a story relevant to t…

present a writers thesis statement ... reveals ethos (main chara…

vague; empty introductions ... avoid obvious and boring ... avoid d…

Engaging Titles

use a contrast that produces surprise ... use three words ... use a…

Introductions

start with dramatic incident ... stat with a story relevant to t…

Incenter

Circumcenter

Orthocenter

Centroid

the point of concurrency of the angle bisectors of a triangle

the point of concurrency of the perpendicular bisectors of a…

point of concurrency of the altitudes of a triangle

The point of concurrency of the medians of a triangle

Incenter

the point of concurrency of the angle bisectors of a triangle

Circumcenter

the point of concurrency of the perpendicular bisectors of a…

Most profitable strategies are built u…

Where are there opportunities to diffe…

3 steps to discover multiple points of…

Questions to consider in step 2

Differentiation

At every point of contact with the customer.... From the custom…

1) Map a consumption chain that includes every point of conta…

-What? What are consumers doing at each point of the consumpt…

Most profitable strategies are built u…

Differentiation

Where are there opportunities to diffe…

At every point of contact with the customer.... From the custom…

37. What was the meaning of the first…

38. After the - Flood, how did the peo…

39. How did God judge - the people who…

40. How did God test - Abraham's faith…

It was God's promise that the world would never again be dest…

By building a tower to reach heaven (Genesis 11:4)

By confusing their languages so they couldn't understand one…

By asking Abraham to follow Him without telling him where He…

37. What was the meaning of the first…

It was God's promise that the world would never again be dest…

38. After the - Flood, how did the peo…

By building a tower to reach heaven (Genesis 11:4)

Distance (between two points)

Hypotenuse

Legs (of a right triangle)

Pythagorean Theorem

The length of the line segment between two points

The side opposite the right angle in a right triangle. The ot…

The two sides of a triangle that are not the hypotenuse

The theorem that says that, in a right triangle, the sum of t…

Distance (between two points)

The length of the line segment between two points

Hypotenuse

The side opposite the right angle in a right triangle. The ot…

geography

spatial

landscape

relative location

the study of Earth and its people, places, and enviornments

refers to Earth's features in terms of their locations, their…

portions of Earth's surface that can be viewed at one time an…

describes where a place is compared to another place

geography

the study of Earth and its people, places, and enviornments

spatial

refers to Earth's features in terms of their locations, their…

Triangle Sum Conjecture

Auxiliary line

Legs

Isosceles Triangle Conjecture

The sum of the measures of the angles in every triangle is 180°

An extra line or segment that helps with a proof

The other two sides of an isosceles triangle that are not the…

If a triangle is isosceles, then its base angles are congruent

Triangle Sum Conjecture

The sum of the measures of the angles in every triangle is 180°

Auxiliary line

An extra line or segment that helps with a proof

geography

spatial

landscape

relative location

the study of Earth and its people, places, and enviornments

refers to Earth's features in terms of their locations, their…

portions of Earth's surface that can be viewed at one time an…

describes where a place is compared to another place

geography

the study of Earth and its people, places, and enviornments

spatial

refers to Earth's features in terms of their locations, their…

Dilation

Hypotenuse

image

isometric

a transformation in which an expansion or compression occurs

the longest side of a right triangle

a figure after a transformation

a transformation in which the image is congruent to the pre-i…

Dilation

a transformation in which an expansion or compression occurs

Hypotenuse

the longest side of a right triangle

Circumference

Cyclic quadrilateral

Externally tangent (circles)

Inscribed (in a circle, semicircle, or…

The distance around a circle, given by the formula C=2πr, whe…

A quadrilateral that can be inscribed in a circle

Intersecting at exactly the one point, with neither circle in…

Having each vertex on the circle, semicircle, or sphere. Usua…

Circumference

The distance around a circle, given by the formula C=2πr, whe…

Cyclic quadrilateral

A quadrilateral that can be inscribed in a circle

altitude of a triangle

median

midsegment

perpendicular bisector conjecture

distance from a vertex to the opposite side or the extension…

segment from a vertex to the midpoint of the opposite side of…

segment connecting two midpoints of the sides of a triangle

all points on the perpendicular bisector are equidistant from…

altitude of a triangle

distance from a vertex to the opposite side or the extension…

median

segment from a vertex to the midpoint of the opposite side of…

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal…

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal…

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal…

只

条

个

动物

zhī ... a measure word, for birds and some animals, etc.

tiáo... measure word for long, thin things (i.e. ribbon, river,…

gè... general measure word, for people

dòngwù... animal

只

zhī ... a measure word, for birds and some animals, etc.

条

tiáo... measure word for long, thin things (i.e. ribbon, river,…

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segment…

Equiangular Polygon

a polygon where all the angles have the same measure

Equilateral Polygon

a polygon where all the sides have the same measure

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segment…

Equiangular Polygon

a polygon where all the angles have the same measure

Equilateral Polygon

a polygon where all the sides have the same measure

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure (congrue…

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segment…

Equiangular Polygon

a polygon where all the angles have the same measure (congrue…

Equilateral Polygon

a polygon where all the sides have the same measure

Circumference

Cyclic quadrilateral

Externally tangent (circles)

Inscribed (in a circle, semicircle, or…

The distance around a circle, given by the formula C=2πr, whe…

A quadrilateral that can be inscribed in a circle

Intersecting at exactly the one point, with neither circle in…

Having each vertex on the circle, semicircle, or sphere. Usua…

Circumference

The distance around a circle, given by the formula C=2πr, whe…

Cyclic quadrilateral

A quadrilateral that can be inscribed in a circle

我家的小动物

我家有一只白色的狗，名字叫可可，

可可有长长的耳朵；

我家也有一只黑色的猫，名字叫乐乐，

wǒ jiā de xiǎo dòng wù... My family's small animals

wǒ jiā yǒu yī zhī bái sè de gǒu, míng zi jiào kěke,... My family…

kěke yǒu cháng cháng de ěr duō... Keke has long ear;

wǒ jiā yě yǒu yī zhī hēi sè de māo, míng zi jiào lèle,... My fam…

我家的小动物

wǒ jiā de xiǎo dòng wù... My family's small animals

我家有一只白色的狗，名字叫可可，

wǒ jiā yǒu yī zhī bái sè de gǒu, míng zi jiào kěke,... My family…

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure (congrue…

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segment…

Equiangular Polygon

a polygon where all the angles have the same measure (congrue…

Equilateral Polygon

a polygon where all the sides have the same measure

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A segment that has many perpendiculars and many bisectors, bu…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A segment that has many perpendiculars and many bisectors, bu…

Distance (between two points)

Hypotenuse

Legs (of a right triangle)

Pythagorean Theorem

The length of the line segment between two points

The side opposite the right angle in a right triangle. The ot…

The two sides of a triangle that are not the hypotenuse

The theorem that says that, in a right triangle, the sum of t…

Distance (between two points)

The length of the line segment between two points

Hypotenuse

The side opposite the right angle in a right triangle. The ot…

Boyle's Law

Pressure

1 atm

Charles's Law

At a constant temperature, pressure and volume are inversely…

Force / Area

760 torr

At a constant pressure, temperature and volume are directly p…

Boyle's Law

At a constant temperature, pressure and volume are inversely…

Pressure

Force / Area

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal…

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal…

1. Crusade

2. Classical

3. Renaissance

4. Technology

one of a series of expeditions Europeans made to regain contr…

related to the culture of ancient Greece and Rome

a rewriting of culture and intellectual curiosity in Europe f…

the use of scientific knowledge for practical purposes

1. Crusade

one of a series of expeditions Europeans made to regain contr…

2. Classical

related to the culture of ancient Greece and Rome

Constellation

Ecliptic

Orion

Ursa Minor

What is a region of the celestial sphere called? There are 88…

What is the Sun's apparent path along the celestial sphere ca…

What is the name of the constellation pictured?

What is the name of the constellation pictured?

Constellation

What is a region of the celestial sphere called? There are 88…

Ecliptic

What is the Sun's apparent path along the celestial sphere ca…

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segment…

Equiangular Polygon

a polygon where all the angles have the same measure

Equilateral Polygon

a polygon where all the sides have the same measure

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure (congrue…

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segment…

Equiangular Polygon

a polygon where all the angles have the same measure (congrue…

Equilateral Polygon

a polygon where all the sides have the same measure

Anthropologist

Empire

Emperor

Tone

Scientists who study people and their culture.

A group of nations ruled by an emperor.

A leader of many nations.

The mood or feeling of a story.

Anthropologist

Scientists who study people and their culture.

Empire

A group of nations ruled by an emperor.

sphere

astronomers

telescope

poles

something that is shaped like a ball

scientists who study the sun, stars, and planets

a device used to view things that are far away

the points on which a planet rotates

sphere

something that is shaped like a ball

astronomers

scientists who study the sun, stars, and planets

absolute location

relative location

physical characteristics

human characteristics

allows us to pinpoint the exact location of any point on Eart…

Refers to the way a place is perceived and how that place rel…

topography, climate, vegetation, wildlife

agriculture, architecture, religion, economics

absolute location

allows us to pinpoint the exact location of any point on Eart…

relative location

Refers to the way a place is perceived and how that place rel…

lawyer

will

deceased

leave

a person whose job is to guide and help people in matters rel…

a piece of paper telling who will get someone's personal poss…

dead

to go away

lawyer

a person whose job is to guide and help people in matters rel…

will

a piece of paper telling who will get someone's personal poss…

Image

preimage

isometry

line of reflection

the result of moving a figure according to a transformation.

the original figure of a transformation

A transformation that preserves size and shape.

the line over which every point of a figure is moved by a ref…

Image

the result of moving a figure according to a transformation.

preimage

the original figure of a transformation

Inscribed Circle

Circumscribed Circle

Concurrent Lines

Incenter

A circle that is inside a triangle and is tangent to its sides.

A circle that goes around a triangle and passes through its v…

Lines that meet at a common point.

The center of the inscribed circle of a triangle.

Inscribed Circle

A circle that is inside a triangle and is tangent to its sides.

Circumscribed Circle

A circle that goes around a triangle and passes through its v…

geography

spatial

landscape

relative location

the study of Earth and its people, places, and enviornments

refers to Earth's features in terms of their locations, their…

portions of Earth's surface that can be viewed at one time an…

describes where a place is compared to another place

geography

the study of Earth and its people, places, and enviornments

spatial

refers to Earth's features in terms of their locations, their…

Boyle's law

Charles law

extrapolation

Avogadro's law

at constant temperature, pressure and volume are inversely pr…

at constant pressure, temperature and volume are directly pro…

extending a trend in data to situations for which no measurem…

equal volumes of all gases at the same temperature and pressu…

Boyle's law

at constant temperature, pressure and volume are inversely pr…

Charles law

at constant pressure, temperature and volume are directly pro…