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Tressa R.

Collinear points

3 or more points on a single straight line.

ex: beads on a necklace

ex: beads on a necklace

Line

Has no starting or ending point (number line)

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Ray

Has starting point, extends indefinitely on one side.

Ex: laser beam/flashlight

Ex: laser beam/flashlight

Line segment

Has a definite starting and ending point; can be measured.

Ex: pencil

Ex: pencil

Concurrent lines

3 or more lines in a plane if they intersect at a single point

Ex: snowflake

Ex: snowflake

Intersecting lines

2 lines that share exactly one point

Ex: 4 way intersection

Ex: 4 way intersection

Parallel lines

2 lines that never touch

Ex: 377 and 35

Ex: 377 and 35

Angle

Space between two intersecting lines

Ex: protractors

Ex: protractors

Congruent angles

Angles that are equal

Ex: tile floor

Ex: tile floor

Acute angles

An angle less than 90 degrees

Ex: the angles of an equilateral triangle/ a ladder

Ex: the angles of an equilateral triangle/ a ladder

Right angle

Angel = 90 degrees

Ex: corner of room

Ex: corner of room

Straight angle

Angle = 180 degrees

Ex: flat ground or floor

Ex: flat ground or floor

Obtuse angle

Angle larger than 90 degrees

Ex: angle of a hockey stick

Ex: angle of a hockey stick

Reflex angle

The larger angle (more than 180 less than 360)

Ex: a clock at 7

Ex: a clock at 7

Pair of adjacent angles

two angles with a common vertex and a common side

Ex: clock at 11:15

Ex: clock at 11:15

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Pair of vertical angles

A pair of non adjacent angles formed when two lines intersect (OPPOSITE ANGLES)

Ex: railroad crossing sign

Ex: railroad crossing sign

Linear pair of angles

Formed when two lines intersect. Linear if the are adjacent angles formed by 2 intersecting lines. (MUST ADD TO 180)

Ex: protractor

Ex: protractor

Pair of complementary angles

In right triangle, the non right angles are complementary, because in a triangles, 3 angles = 180, 90 is taken s the other two =90 and complement each other.

(ADDS TO 90)

(ADDS TO 90)

Pair of supplementary angles

ADD UP TO 180

Perpendicular lines

Lines that intersect at a right angle

Ex: 114 and 35 (t section)

Ex: 114 and 35 (t section)

True

T/F Alternate interiors are congruent. (Z)

True

T/F Alternate exterior angles are congruent.

False (always)

T/F verticals Angles are never congruent.

False (they are congruent)

T/F Corresponding angles are not congruent.

Interior angle formula

(N-2)180=

Circumference

2(pi)(r)

Area of circle

(Pi)(r^2)

Area of triangle

Bh/2

Area of trapezoid

(A+b/2)h

Parallelogram area

bh

360

Exterior angle sum for anything

Simple curve

You will never cross yourself.

-curves that don't intersect/cross

-can be open or closed

-curves that don't intersect/cross

-can be open or closed

Closed curve

Curves that start and end at the SAME point

Simple closed curve

Curves that are both closed and simple

Polygons

A closed figure made of many sides; straight lines; 3 or more lines; simple and closed (2D)

Convex polygons

-has diagonals on the inside

-no caves or indents

-no reflex angles

-no caves or indents

-no reflex angles

Concave polygons

-Indent/cave in

-have more than one reflex angle (reflex is more than 180)

-diagonals maybe outside the polygon

-have more than one reflex angle (reflex is more than 180)

-diagonals maybe outside the polygon

Equilateral polygon

-equal sides, lines, edges

- polygons that have all sides congruent

(May or may not be regular)

- polygons that have all sides congruent

(May or may not be regular)

Equiangular polygon

-Equal angles (measures are =)

-All interior angles are the same

Ex: pentagon/octagon

(May or may not be regular)

-All interior angles are the same

Ex: pentagon/octagon

(May or may not be regular)

Regular polygon

Polygons that have all sides and all angles congruent (are always equilateral and equiangular)

Quadrilateral

-convex OR concave

-polygon that has 4 sides

- angle sum=360

-polygon that has 4 sides

- angle sum=360

Kite

-2 different sets of adjacent sides are congruent.

-Convex OR concave

-Convex OR concave

Trapezoid

-ALWAYS convex

- A quadrilateral with exactly 1 set of parallel sides.

-With at least one set of parallel lines

- A quadrilateral with exactly 1 set of parallel sides.

-With at least one set of parallel lines

Parallelogram

A quadrilateral with 2 sets of parallel and congruent sides.

-Opposite angles are congruent.

-Adjacent angles are supplementary

-CONVEX ONLY

-Opposite angles are congruent.

-Adjacent angles are supplementary

-CONVEX ONLY

Rhombus

-A parallelogram with all sides congruent.

-Opposite angles congruent.

-Adjacent angles are supplementary.

-CONVEX ONLY

-Opposite angles congruent.

-Adjacent angles are supplementary.

-CONVEX ONLY

Rectangle

-A parallelogram with all right angles.

CONVEX ONLY

CONVEX ONLY

Square

-A rectangle with all sides congruent.

-A rhombus with all 90 degree angles.

CONVEX ONLY

-A rhombus with all 90 degree angles.

CONVEX ONLY

Order of quadrilaterals

Quadrilaterals----(kite and trapezoid) -----kite to (rhombus) --- trapezoid to (parallelogram)----parallelogram to (rhombus and rectangle)------ rhombus and rectangle to (square)

UP ALWAYS ------- DOWN SOMETIMES

UP ALWAYS ------- DOWN SOMETIMES

King Henry Drinks (Lime Green Milk) Dead Cows Make

What's the conversion saying?

4

How many quarts in a gallon?

2

How many pints in a quart?

2

How many cups in a pint?

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