Geometry/Trigonometry 2 Name: __________________________

1. Geometry/Trigonometry 2 Name: __________________________ Chapter 5 – Special Parallelograms Date: __________________________ The following quadrilaterals have all the properties of a , and some special properties of their own. Review: Properties of a Parallelogram: 1.) 2.) 3.) 4.) 5.) Special Parallelogram #1: 1.) Definition: a quadrilateral with four angles. Properties: A is a parallelogram because A has diagonals that are (forms triangles) To prove a quadrilateral is a 1.) A quadrilateral with 2.) A parallelogram with 3.) A parallelogram with Examples:

2. Geometry/Trigonometry 2 Name: __________________________ Chapter 5 – Special Parallelograms Date: __________________________ Special Parallelogram #2: 2.) Definition: a quadrilateral with four sides. Properties: A is a parallelogram because A has diagonals that are and that its angles. To prove a quadrilateral is a 1.) A quadrilateral with 2.) A parallelogram with 3.) A parallelogram with Examples: Special Parallelogram #3: 3.) Definition: a quadrilateral with four angles and four sides. Properties: A is a and A has diagonals that are and that its angles. (forms triangles) Examples:

3. Geometry/Trigonometry 2 Name: __________________________ Chapter 5 – Special Parallelograms Date: __________________________ True or False: Determine if the following statements about special quadrilaterals are true or false. 1.) Every square is a rhombus. TRUE or FALSE 2.) Every rhombus is a parallelogram. TRUE or FALSE 3.) The opposite sides of any rhombus are parallel and congruent. TRUE or FALSE 4.) The opposite angles of any rhombus are congruent. TRUE or FALSE 5.) The consecutive angles of any rhombus are supplementary. TRUE or FALSE 6.) Every rhombus is a square. TRUE or FALSE 7.) Every parallelogram is a rhombus. TRUE or FALSE 8.) The diagonals of a rectangle must be congruent. TRUE or FALSE 9.) The diagonals of a rectangle must bisect each other. TRUE or FALSE 10.) The diagonals of a rectangle must be perpendicular. TRUE or FALSE 11.) The diagonals of a square must bisect each other. TRUE or FALSE 12.) The diagonals of a square must be congruent. TRUE or FALSE 13.) If the diagonals of a parallelogram are congruent, TRUE or FALSE then the parallelogram must be a square. 14.) The diagonals of a square must be perpendicular. TRUE or FALSE 15.) A rhombus can be a square. TRUE or FALSE Name the quadrilaterals that have each property. Choose from parallelogram, rhombus, rectangle, and square. Circle all that apply 1.) All angles are congruent. P Rect Rhom Sq 2.) The diagonals are congruent. P Rect Rhom Sq 3.) The diagonals are perpendicular. P Rect Rhom Sq 4.) The diagonals bisect each other. P Rect Rhom Sq 5.) The diagonals are perpendicular bisectors of each other. P Rect Rhom Sq 6.) Consecutive angles are supplementary. P Rect Rhom Sq 7.) Each diagonal bisects two angles of the quadrilateral. P Rect Rhom Sq

4. Geometry/Trigonometry 2 Name: __________________________ Chapter 5 – Special Parallelograms Date: __________________________ U T 2 3 1 p 4 10 9 11 12 8 5 6 7 R S U T 2 3 1 p 4 10 9 11 12 8 5 7 6 R S The diagonals of rectangle RSTU intersect at P. Name each of the following. 1.) segments congruent to segment UR 2.) segments congruent to segment RP 3.) segments congruent to segment UT 4.) segments congruent to segment RT 5.) segments congruent to segment US 6.) angles congruent to 7 7.) angles congruent to 8 8.) triangles congruent to RPS 9.) triangles congruent to UPR 10.) triangles congruent to RUT 11.) right triangles 12.) isosceles triangles The diagonals of square RSTU intersect at P. Name each of the following. 13.) segments congruent to segment UR 14.) segments congruent to segment RP 15.) segments congruent to segment RT 16.) angles congruent to 7 17.) triangles congruent to RPS 18.) right triangles 19.) isosceles triangle 20.) supplement to 10 Answers: 1.) 6.) 11.) 16.) 2.) 7.) 12.) 17.) 3.) 8.) 13.) 18.) 4.) 9.) 14.) 19.) 5.) 10.) 15.) 20.)