Tina Math Content Knowledge

Front 1

Geometry

Back 1

-Relationships geo figures
-Relationships quadrialterals
-Problems prop. of plane figs.
-Problems prop. of circles
-Pythagoren theorem
-Perimeter/ Area/ Volume
-Geo transformations

Front 2

Relationships involving Geometric Figures

Back 2

medians of triangles, inscribed angles in circles

congruencies/ similarity

Front 3

ALTITUDE
height

Back 3

of triangles
line segment drawn from vertex perpendicular to the side opposite the angle
Triangle has 3

Front 4

Concurrent in a Triangle

Back 4

the lines containing the altitudes of a triangle are concurrent (intersect in a point)

Front 5

(intersect in a point)
concurrent lines of altitudes
triangles

Back 5

ORTHOCENTER

Front 6

MEDIAN of a Triangle
-are congruent
-point of cocurrency- Centroid

Back 6

is a line segment connecting the vertex of an angle to the midpoint of the side opposite the angle

Front 7

CENTROID

Back 7

is 2/3 of the way along each median, from the vertex to the opposite site

Front 8

PERPENDICUALR BISECTORS of a Triangle

-are congruent

Back 8

Point of concurrency is equidistant from the vertices of the triangle

Front 9

ANGLE BISECTOR

Back 9

in a triangle
is a line that cuts in half an angle of the triangle

Front 10

CONGRUENT = with ~ above it

Back 10

same size and same shape
superimposable= fit exactly on top of eachother

Front 11

SIMILAR two ~~ on top of each other

Back 11

same shape but not necessarily same size
-corresponding angles congruent
-corresponding sides proportional

Front 12

REALTIONSHIPS
QUADRILATERALS

Back 12

square
rectangle
parallelogram
rhombus
trapezoid

Front 13

QUADRILATERAL
-Parallelograms
-Trapezoids

Back 13

Closed two-dimensional geometric figure
made up of FOUR straight lines

Front 14

PARALLELOGRAM

Back 14

Quad with
TWO pairs of opposite parallel sides

Front 15

Properties of Parallelogram

Back 15

-oppposite sides congruent
-sum of four interior <'s is 360
-oppposite interior <'s are congruent
-consective interior angles are supplementary
-diagonals bisect each other
-ea. diagonal divides the IIogram into two congruent triangles

Front 16

PARALLELOGRAMS
rhombus:
rectangle:
square:

Back 16

four congruent sides
four right angles
four right angles & 4 congru sides

Front 17

Trapeziod
definition one

Back 17

quad that has exactly one pair of opposite sides taht are II

Front 18

Trapeziod
definition two

Back 18

quad that has at least one pair of II sides- this allows an parallelogram to be cinsidered a special kind of trap

Front 19

Properties of PLANE FIGURES

Back 19

properties of
triangles, quadrilaterals, polygons, circles, parallel and perpendicular lines

Front 20

RAY

Back 20

line extending from a point

Front 21

Angle

Back 21

When two RAYS meet at a common point

Front 22

VERTEX

Back 22

point where the rays meet

Front 23

ANGLES
Acute
Right
Abtuse

Back 23

b/w 0- 90 degrees
exactly 90 degrees
b/w 90-180 degrees

Front 24

Angles Cont.
Straight Line
Complementary <'s
Supplementary <'s

Back 24

exactly 180 degrees
two <'s sum = 90
two <'s sum =180

Front 25

Two <'s with the same measure are
CONGRUENT

Back 25

ADJACENT <'s
are angles that have a common vertex & common side

Front 26

PLANE

Back 26

set of points that form a flat surface
can be II or intersecting

Front 27

INTERSECTING lines in a plane

Back 27

CROSS at a POINT

Front 28

Vertical Angles

Back 28

two nonadjacent angles formed by intersecting lines
-<'s formed are congruents
(mirror)

Front 29

PARALLEL LINES ( II )

Back 29

in plane never meet
distance b/w always same

Front 30

TRANSVERAL

Back 30

STRAIGHT line that intersects two or more given lines.
When TWO II lines are cut by a transveral 8 <'s formed
*own note card

Front 31

TRANSVERSAL
if two parallel lines are cut by a transveral

Back 31

then any pair of
corresponding angles,
alternate exterior angles, or
alternate interior angles
are congruent

Front 32

PERPENDICULAR LINES

Back 32

intersect at right angles

Front 33

Perpendicular BISECTOR

Back 33

OF A LINE SEGMENT
is set of all points in the plane of the line segment that are equidistant from endpoints of the line segments

Front 34

SHORTEST distance from a point to a line

Back 34

is the measure of the perpendicular line segment from the point to the line

Front 35

POLYGON

Back 35

closed plane figure
sides are straight line segments

Front 36

VERTEX of polygon

Back 36

point at which two sides of a plygon intersect

Front 37

REGULAR Polygon

Back 37

all sides congruent

Front 38

Triangle - 3
Quadrilateral- 4
Pentagon- 5
Hexagon -6

Back 38

Heptegon -7
Octagon - 8
Nonagon - 9
Decagon -10

Front 39

CONVEX

Back 39

if diagonals of a polygon lie within interior of polygon

Front 40

CONCAVE

Back 40

If diagonals lie outside of interior

Front 41

Number of diagonals of an
n-shaped
polygon

Back 41

n(n-3) / 2

Front 42

TRIANGLES (by sides)
-isosceles
-scalene
-quilateral

Back 42

-at least 2 congruent sides
-no congruent sides
- 3 congruent sides

Front 43

TRIANGLES (interior <'s)
-acute
-right
-obtuse

Back 43

-3 acute <'s
-exactly one right <
-exactly one obtuse <

Front 44

SUM OF <'S IN A
TRIANGLE

Back 44

180 degrees

Front 45

***TRIANGLE INEQUALITY
Theorem***

Back 45

sum of the measures of any two sides of a triangle must be greater than the measure of the third side

Front 46

**Triangle Inequality Theorem

Back 46

- If 2 sides are congruent, then the <'s opposite those sides are congruent and conversely

Front 47

** Cont.

Back 47

- The segment b/w the midpoint of two sides of a triangle is II to the third side and half as long

Front 48

CONGRUENT Triangles

-SSS
-SAS
-AAS

Back 48

corresponding sides
corresponding angles
are congruent

Front 49

SIMILAR Triangles
-proportional sides
-congruent <'s

Back 49

corresponding sides are
-proportional
corresponding <'s are
congruent

Front 50

IDENTIFY QUADRILATERALS

Back 50

-Diagonals of quad bisect - parallelogram
-Diagonals of quad are perpendicular bisectors of ea. other the quad is rhombus
-IIogram has 1 right <, it has four right <'s and a rectangle