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 ouse.com/geometry/an gle/parallel-lines-cut- transversal.php ouse.com/geometry/an gle/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 use.com/geometry/angle /parallel-lines-cut- transversal.php use.com/geometry/angle /parallel-lines-cut- transversal.php m/geometry/angle/parall el-lines-cut- transversal.php m/geometry/angle/parall el-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: SSS SAS ouse.com/geometry/co ngruent_triangles/ ouse.com/geometry/co ngruent_triangles/ ASA AAS HL

MA912G65- AREA OF SECTOR AND CIRCLES, AND CIRCUMFERENCE The circumference C of a circle is equal to 2 r or d.

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 TRANSVERSAL MA912G13 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

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