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MA912G11
• CHAPTER 1-3• DISTANCE FORMULA
• CHAPTER 1-3• MIDPOINT FORMULA
MA912G24 - TRANSFORMATIONS
• A reflection or flip is a transformation over a line called the line of reflection. Each point of pre-image and its image are the same distance from the line of reflection.
• A translation or a slide is a transformation that moves all points of the original figure the same distance in the same direction.
• A rotation or turn is a transformation around a fixed point called the center or rotation, through a specific angle, and in a specific direction. Each point of the original figure and its image are the same distance from the center.
MA912G13- PARALLELISM
• PARALLEL LINES &TRANSVERSALS
• http://www.mathwarehouse.com/geometry/angle/parallel-lines-cut-transversal.php
• IF TWO PARALLEL LINES ARE CUT BY A TRANSVERSAL, THEN EACH PAIR OF CORRESPONDING ANGLES, ALTERNATE INTERIOR ANGLES, AND ALTERNATE EXTERIOR ANGLES IS CONGRUENT.
MA912G13- PARALLELISM - CONVERSE
• CHAPTER 3-5• http://
www.mathwarehouse.com/geometry/angle/parallel-lines-cut-transversal.php
• www.mathwarehouse.com/geometry/angle/parallel-lines-cut-transversal.php
• IF TWO LINES ARE CUT BY A TRANSVERSAL SO THAT CORRESPONDING ANGLES, ALTERNATE EXTERIOR ANGLES (PAIR), AND ALTERNATE INTERIOR ANGLES(PAIR) IS CONGRUENT, THEN THE TWO LINES ARE PARALLEL.
MA912G46 – CONGRUENCY IN TRIANGLES PAGES: 262-282
• SSS • SAS• http://www.mathwareh
ouse.com/geometry/congruent_triangles/
• ASA• AAS• HL
MA912G65- AREA OF SECTOR AND CIRCLES, AND CIRCUMFERENCE
• The area A of a circle is equal to times the square of the radius r.
• The ratio of the area A of a sector to the area of the whole circle, 𝞹r², is equal to ratio of the degree measure of the intercepted arc x to 360.
• The circumference C of a circle is equal to 2𝞹r or 𝞹d.
MA912G13- PARALLELISM
• IF TWO PARALLEL LINES ARE CUT BY A TRANSVERSAL, THEN EACH PAIR OF CONSECUTIVE INTERIOR ANGLES IS SUPPLEMENTARY.
• IF TWO LINES IN A PLANE ARE CUT BY A TRANSVERSAL SO THAT A PAIR OF CONSECUTIVE INTERIOR ANGLES IS SUPPLEMENTARY, THEN THE LINES ARE PARALLEL. (CONVERSE)
PERPENDICULAR TRANSVERSALMA912G13
• IN A PLANE, IF A LINE IS PERPENDICULAR TO ONE OF TWO PARALLEL LINES, THEN IT IS PERPENDICULAR TO THE OTHER.
• IN A PLANE, IF TWO LINES ARE PERPENDICULAR TO THE SAME LINE, THEN THEY ARE PARALLEL.
MA912G22 – POLYGON ANGLE MEASURES CHAPTER 4-2 & 6-1
• Triangle Angle-Sum Theorem:
The sum of the measures of a triangle is 180.• Exterior Angle Theorem:The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
• The sum of the interior angle measures of an n-sided convex polygon is (n-2)*180.
• The sum of the exterior angle measures of a convex polygon, one angle at each vertex, is 360.
MA912D62- CONDITIONAL STATEMENTS
• A conditional statement is a statement that can be written in the form if p, then q.
• The converse is formed by exchanging the hypothesis and conclusion of the conditional.
• The inverse is formed by negation both the hypothesis and conclusion of the conditional.
• The contrapositive is formed by negation both the hypothesis and the conclusion of the converse of the conditional.
MA912G25 – AREA & PERIMETER
• A polygon is a closed figure formed by a finite number of coplanar segments called sides.
• A convex polygon that is both equilateral and equiangular is called a regular polygon.
• Area of a Rhombus or Kite
• The area A of a rhombus or kite is one half the product of the lengths of its diagonals, d and d.
• A = ½ d*d
AREA AND PERIMETER
• 2-D • 2-D
MA912G71- FACES AND EDGES ON A POLYHEDRON
• A solid with all flat surfaces that enclose a single region of space is called a polyhedron.
• Each flat surface or face is a polygon.
• The line segments where the faces intersect are called edges.
• The point where three or more edges intersect is called a vertex.
• A polyhedron is a regular polyhedron if all of its faces are regular congruent polygons and all of the edges are congruent.
• There are exactly five types of regular polyhedrons, called Platonic Solids because Plato used them extensively.
FACES AND EDGES
• 3-D 3-D