DAY 7 - PLANE GEOMETRY

GEOMETRY CAME FROM 2 GREEK WORDS…

EUCLID AND PLANE GEOMETRY

2D DIMENSIONAL GEOMETRIC FIGURES SUCH AS ANGLES, TRIANGLES, CONIC SECTION, ETC

ARCHIMEDES AND SOLID GEOMETRY

3D DIMENSIONAL GEOMETRIC FIGURES SUCH AS CYLINDER, SPHERE, PYRAMID, ANGLE BETWEEN PLANES, ETC.

PTOLEMY AND DESCRIPTIVE GEOMETRY

ANGLE IS

DIFFERENT TYPES OF ANGLES (11)

VERTICAL ANGLES

CIRCLES

1

CIRCLE

CIRCUMFERENCE means

SECTOR

RADII - PLURAL OF RADIUS

SEGMENT

A segment of a circle can be defined as a region bounded by a chord and a corresponding arc lying between the chord's endpoints.

CHORD

he chord of a circle is a straight line that connects two points on the circumference of a circle. The longest chord in a circle is the diameter of the circle.

AREA OF A CIRCLE

CIRCUMFERENCE OF A CIRCLE

AREA OF A SECTOR (2 for radians)

AREA OF A SEGMENT

ELLIPSE

ELLIPSE

PARTS OF AN ELLIPSE (INCOMPLETE)

AREA OF AN ELLIPSE

POLYGONS

1

POLYGONS definition, trivia, origin, naming.

NUMBER SIDES=NUMBER ANGLES=NUMBER VERTEX

POLYGONS BASED ON NUMBER OF ANGLES OR SIDES (14)

shapes of polygons

shapes of polygons

REGULAR POLYGON

CONVEX POLYGON

CONVEX POLYGON

CONCAVE POLYGON

CONCAVE POLYGON

types of polygons (6)

DIAGONAL means

FORMULA FOR THE NUMBER OF DIAGONALS OF A GIVEN FORMULA

SUM OF INTERIOR ANGLES IN A POLYGON

INTERIOR ANGLE FORMULA OF POLYGONS

TRIANGLES

1

TYPES OF TRIANGLES: 7

7

EQUILATERAL TRIANGLE

3-SIDES HAVE SAME MEASUREMENT

3-ANGLES HAVE SAME MEASUREMENT

ISOSCELES TRIANGLE

2-SIDES SAME LENGTH

2-ANGLES SAME ANGLE

PERO DAPAT YUNG ANGLES IS KATABI NG 2-SIDES WITH EQUAL MEASUREMENT

SCALENE TRIANGLE

-NO EQUAL SIDES

-NO EQUAL ANGLES

RIGHT TRIANGLE

-1 RIGHT ANGLE

-RIGHT TRIANGLE IS EXACTLY ½ OF RECTANGLES AREA

ACUTE TRIANGLE

-3 ACUTE ANGLES (LESS THAN 90 DEG)

-CAN BE EQUI, SCALENE, ISOSCELES

EQUILATERAL : ALL HAVE 60 MEASUREMENT

SCALENE: 80, 70, 30

ISOSCELES: 70, 70, 40

OBTUSE TRIANGLE

ONE OBTUSE ANGLE

EGYPTIAN TRIANGLE

QUADRILATERALS means

QUADRILATERALS IN US STANDARD

QUADRILATERALS IN UK STANDARD

TRAPEZOID VS TRAPEZIUM IN TWO STANDARDS

AREA OF TRAPEZOID

PARALLELOGRAMS means

types of parallelograms 4

-rectangle

-square

-rhombus

-rhomboid

AREA OF SQUARE

AREA OF RECTANGLE

RHOMBOID AND RHOMBUS

RHOMBOID AND RHOMBUS figure

AREA OF RHOMBOID AND RHOMBUS

COMPLEMENTARY, SUPPLEMENTARY, AND EXPLEMENTARY ANGLES