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Transcript
Geometry Reflective Portfolio Unit #8: Special quadrilaterals Section #1: Vocabulary (words and/or diagrams) Consecutive sides and/or angles Diagonal of a quadrilateral Interior angle of a polygon Exterior angle of a polygon Quadrilateral Regular Polygon Section #2: Formulas/Equations/Theorems slope distance midpoint Formula for finding the sum measure of all interior angles of a regular polygon with “n” sides The sum measure of all exterior angles of a regular polygon with “n” sides is____________. Formula for finding the measure on ONE interior angle of a regular polygon with “n” sides Formula for finding the measure on ONE exterior angle of a regular polygon with “n” sides. Draw a Venn diagram to classify the special quadrilaterals: Trapezoid, Isosceles trapezoid, Kite, Parallelogram, Rectangle, Rhombus and Square Theorems/Definitions for proving quadrilaterals are: Trapezoid, Isosceles trapezoid, Kite, Parallelogram, Rectangle, Rhombus and Square USE the theorem sheets handed out in class!!!!!! Trapezoid o A quadrilateral is a trapezoid if at least____________________________________________ Isosceles trapezoid o A trapezoid is an isosceles trapezoid if and only if its ___________________________ are congruent. o A trapezoid is isosceles if and only if its ______________________________ are congruent. o A trapezoid is isosceles if and only if it has opposite angles which are __________________. o A trapezoid is isosceles if and only if it has a pair of congruent __________________________. Parallelogram o A quadrilateral is a parallelogram if and only if it has 2 pairs of _____________________sides. o A quadrilateral is a parallelogram if and only if it has 2 pairs of ______________________sides. o A quadrilateral is a parallelogram if and only if one pair of opposite sides are _________________ AND _____________________. o A quadrilateral is a parallelogram if and only if its diagonals_____________________________. Rectangle o A quadrilateral is a rectangle if and only if it has 4 ____________________________. o A ______________________ is a rectangle if and only if it has one _________________. o A ______________________ is a rectangle if and only if its _____________ are congruent. Rhombus o A quadrilateral is a rhombus if and only if it has 4 ________________________________________. o A _____________________is a rhombus if and only if it has 2_______________________________. o A _____________________ is a rhombus if and only if its diagonals are ____________________ to each other. Square o A quadrilateral is a square if and only if it has 4 ___________ sides AND 4 ____________________. o A ________________ is a square if and only if it one _______________________. o A ________________ is a square if and only if it has 2_____________________________________. Kite o A kite is a quadrilateral if and only if it has two ______________________________________which are equal in length. o If a quadrilateral is a kite, then it has a pair on _______________________________________that are congruent. o If a quadrilateral is a kite, then ______________________________________ bisects the other. o If a quadrilateral is a kite, then the ___________________________________________________ to each other. Section #3: Key methods and concepts (write out the process and/or a solved example) Complete the following table: Quadrilateral Diagram List of the specific properties Rotational (include any dotted symmetry lines of symmetry) and degree Trapezoid Isosceles trapezoid Kite Parallelogram Rectangle Rhombus Square Reflection symmetry Examples: You must show work for each!!!!!!!!! ________.