Chapter 6 REVIEW. 1. Which statement can you use to conclude that quadrilateral XYZW is a parallelogram?
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1 hapter 6 REVIEW Name: Multiple hoice Identif the choice that best completes the statement or answers the question. 1. Which statement can ou use to conclude that quadrilateral XYZW is a parallelogram? X Y N W a. c. b. d. Z 2. In quadrilateral MNOP, Which of a parallelogram, trapezoid, or rhombus could quadrilateral MNOP be? a. parallelogram or rhombus c. trapezoid onl b. parallelogram onl d. an of the three Short nswer 3. For (1, 1), ( 1, 3), and (, 1), find all locations of a fourth point,, so that a parallelogram is formed using,,, in an order as vertices. Plot each point on a coordinate grid and draw the parallelogram... Find the values of the variables and the lengths of the sides of this rectangle. The diagram is not to scale. 5x 2x For parallelogram PQRS, find the values of x and. Then find PT, TR, ST, and TQ. The diagram is not to scale.
2 6. Find the lengths of the diagonals of this trapezoid. ( b, c) (b, c) ( a, 0) O (a, 0) x 7. For the parallelogram, if and find The diagram is not to scale are base angles of isosceles trapezoid JKLM. If and Essa 9. Given: Prove: VX = XT V U X S T
3 10. Verif that quadrilateral with vertices ( 5, 1), ( 9, 6), ( 1, 5), and (3, 2) is a rhombus b showing that it is a parallelogram with perpendicular diagonals x Write a paragraph proof to show that the base angles of an isosceles trapezoid are congruent. Other 12. In the coordinate plane, draw quadrilateral with ( 5, 0), (2, 6), (, 1), and (1, 7).Then demonstrate that is a rectangle. 13. Is the quadrilateral a parallelogram? Explain. The diagram is not to scale
4 hapter 6 Retake nswer Section MULTIPLE HOIE 1. NS: PTS: 1 IF: L3 REF: 6-3 Proving That a Quadrilateral is a Parallelogram OJ: Is the Quadrilateral a Parallelogram? ST: OH 10G3 KEY: proof reasoning parallelogram 2. NS: PTS: 1 IF: L3 REF: 6-5 Trapezoids and Kites OJ: Properties of Trapezoids and Kites ST: OH 10G3 KEY: quadrilateral rectangle rhombus trapezoid parallelogram reasoning SHORT NSWER 3. NS: x x (2, 3) (, 3) x (6, 5) PTS: 1 IF: L REF: 6-3 Proving That a Quadrilateral is a Parallelogram OJ: Is the Quadrilateral a Parallelogram? ST: OH 10G3 KEY: coordinate plane graphing parallelogram opposite sides multi-part question
5 . NS: x = 7, = ; 20, 35 PTS: 1 IF: L3 REF: 6-1 lassifing Quadrilaterals OJ: lassifing Special Quadrilaterals ST: OH 10G3 TOP: 6-1 Example 3 KEY: algebra rectangle 5. NS: x = 3, = 6; 5, 5, 7, 7 PTS: 1 IF: L3 REF: 6-2 Properties of Parallelograms OJ: Properties: iagonals and Transversals ST: OH 10G3 TOP: 6-2 Example 3 KEY: parallelogram algebra multi-part question 6. NS: Each diagonal has length. PTS: 1 IF: L3 REF: 6-6 Placing Figures in the oordinate Plane OJ: Naming oordinates NT: NEP 2005 Gd ST: OH 10G3 KEY: algebra coordinate plane isosceles trapezoid trapezoid diagonal 7. NS: 163 PTS: 1 IF: L3 REF: 6-2 Properties of Parallelograms OJ: Properties: Sides and ngles TOP: 6-2 Example 2 KEY: algebra parallelogram opposite angles consectutive angles Theorem 6-2. NS: 151 PTS: 1 IF: L3 REF: 6-5 Trapezoids and Kites OJ: Properties of Trapezoids and Kites ST: OH 10G3 KEY: algebra isosceles trapezoid base angles trapezoid Theorem 6-15 ESSY 9. NS: [] [3] correct idea, some details inaccurate [2] correct idea, not well organized [1] correct idea, one or more significant steps omitted PTS: 1 IF: L REF: 6-3 Proving That a Quadrilateral is a Parallelogram OJ: Is the Quadrilateral a Parallelogram? ST: OH 10G3 KEY: parallelogram proof reasoning paragraph proof extended response rubric-based question
6 10. NS: [] Shows is a parallelogram (b an of several methods); then shows diagonals are perpendicular b computing slopes to be. Includes meaningful commentar on what is occurring. [3] Shows is a parallelogram and shows diagonals are perpendicular, but presentation is not clear [2] work complete and shows correct ideas, but contains errors [1] work incomplete, but shows some understanding of what to do PTS: 1 IF: L REF: 6- Special Parallelograms OJ: 6-.2 Is the Parallelogram a Rhombus or a Rectangle? ST: OH 10G3 KEY: extended response rubric-based question reasoning writing in math rhombus 11. NS: [] raw with E on. Since opposite sides of E are parallel, E is a parallelogram. Thus, since the are opposite sides. The trapezoid is given to be isosceles, so legs and are congruent. Thus, b the Transitive Propert of ongruence. b the Isosceles Triangle Theorem, and b the orresponding ngles Postulate. Thus b the Transitive Propert of ongruence. Finall, the other base angles are congruent since supplements of congruent angles are congruent. [3] correct idea, some details inaccurate [2] correct idea, not well organized [1] correct idea, one or more significant steps omitted PTS: 1 IF: L REF: 6-5 Trapezoids and Kites OJ: Properties of Trapezoids and Kites ST: OH 10G3 KEY: base angles isosceles trapezoid paragraph proof proof extended response rubric-based question writing in math OTHER 12. NS: x 5 10
7 nswers ma var. Sample: slope of is 6 7 slope of is 7 6 slope of is 6 7 slope of is 7 6, so is a parallelogram. is a rectangle. are right angles. PTS: 1 IF: L REF: 6-7 Proofs Using oordinate Geometr OJ: uilding Proofs in the oordinate Plane NT: NEP 2005 Gd KEY: coordinate plane proof reasoning rectangle slope multi-part question 13. NS: Yes. is supplementar to both and since = 10. So and is a parallelogram. PTS: 1 IF: L3 REF: 6-3 Proving That a Quadrilateral is a Parallelogram OJ: Is the Quadrilateral a Parallelogram? ST: OH 10G3 KEY: parallelogram reasoning writing in math
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