Geometry R Quadrilateral Packet Due 1/17/17 Name. A) Diagonal bisect each other B) Opposite angles are congruent

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1 Geometry R Quadrilateral Packet ue 1/17/17 Name MULTIPLE HOIE 1. Which of the following is NOT a characteristic of all parallelograms? ) iagonal bisect each other ) Opposite angles are congruent ) iagonals are angle bisectors ) Opposite sides are congruent 2. Which of the following is NOT a characteristic of all parallelograms? ) Opposite angles are supplementary ) Opposite angles are congruent ) Opposite sides are parallel ) Opposite sides are congruent 3. Which of the following is NOT a characteristic of all parallelograms? ) onsecutive angles are supplementary ) Opposite angles are congruent ) iagonals bisect each other ) iagonals are perpendicular 4. Which of the following is a characteristic of all parallelograms? ) iagonals are angle bisectors ) iagonals are congruent ) iagonals bisect each other ) iagonals are perpendicular 5. Which of the following is not a special type of parallelogram? ) Square ) Rhombus ) Rectangle ) Isosceles Trapezoid 6. Which of the following is NOT a characteristic of all rectangles? ) onsecutive angles are supplementary ) Opposite angles are congruent ) iagonals bisect each other ) iagonals are perpendicular 7. Which of the following is a characteristic of all rectangles? ) iagonals are angle bisectors ) iagonals are congruent ) iagonals are parallel ) iagonals are perpendicular 8. Which of the following is NOT a characteristic of all rectangles? ) Four congruent angles ) Four congruent sides ) iagonals bisect are congruent ) Opposite angles are congruent

2 9. Which of the following is NOT a characteristic of all rectangles? ) iagonals bisect each other ) Opposite sides are congruent ) iagonals are perpendicular ) Four congruent angles 10. Which of the following is NOT a characteristic of all rhombi? ) iagonals bisect each other ) Opposite sides are congruent ) iagonals are perpendicular ) Four congruent angles 11. Which of the following is NOT a characteristic of all rhombi? ) Four congruent sides ) iagonals are angle bisectors ) iagonals are perpendicular ) iagonals are congruent 12. Which of the following is NOT a characteristic of all rhombi? ) onsecutive angles are supplementary ) Opposite sides are parallel ) Four congruent angles ) iagonals bisect each other 13. Which of the following is NOT a characteristic of all squares? ) iagonals are congruent ) iagonals are angle bisectors ) iagonals intersect at 45 ) iagonals form 4 congruent right isosceles s 14. Which of the following group of quadrilaterals have diagonals that are perpendicular? ) Rhombus, Square ) Rhombus, Parallelogram, Square ) Rectangle, Square ) Rectangle, Rhombus, Square 15. Which of the following group of quadrilaterals have congruent diagonals? ) Rhombus, Square ) Rhombus, Parallelogram, Square ) Rectangle, Square ) Rectangle, Rhombus, Square 16. Which is the largest group of quadrilaterals that have consecutive supplementary angles? ) Rhombus, Square. Rectangle ) Rhombus, Parallelogram, Square ) Rectangle, Square, Parallelogram, Rhombus ) Parallelogram, Square

3 17. Which of the following group of quadrilaterals have diagonals that are angle bisectors? ) Rhombus, Square ) Rhombus, Parallelogram, Square ) Rectangle, Square ) Rectangle, Rhombus, Square 18. rhombus has diagonals of 6 cm and 8 cm, what is the length of its side? ) 3 cm ) 4 cm ) 5 cm ) 10 cm TRUE/FLSE 1. rhombus has four congruent angles. T or F 2. rectangle has diagonals that bisect each other. T or F 3. square has four congruent sides. T or F 4. Squares and rectangles are special types of parallelograms. T or F 5. kite is a parallelogram. T or F 6. iagonals in a rhombus are angle bisectors and intersect at right angles. T or F 7. ll parallelograms are rectangles. T or F 8. ll rhombi are parallelograms. T or F 9. If you have 4 congruent angles and 4 congruent sides you must be a square. T or F 10. iagonals bisect angles in a parallelogram. T or F 11. quadrilateral is a 4 sided polygon. T or F 12. onsecutive sides are congruent in a rectangle. T or F 13. If a parallelogram has 4 angles, then it must be a square. T or F 14. square is both a rhombus & a rectangle T or F 15. ll rectangles are parallelograms. T or F 16. ll rhombi are rectangles. T or F SHORT NSWER

4 1. ircle whether the relationship is ()lways, (S)ometimes, or (N)ever True. a) rhombus is a quadrilateral S N b) rectangle is a rhombus. S N c) djacent sides of a rectangle are congruent. S N d) iagonals of a square are perpendicular S N e) iagonals of a parallelogram are congruent. S N f) If is a parallelogram, then = S N g) Square is a rectangle S N h) parallelogram is a rhombus S N i) rhombus is a square S N a) Given Parallelogram b) Given Rhombus c) Given Square Find m 1 = Find m 1 = Find m = Find m 2 = Find m 2 = Find m 1 = Find m 3 = Find m 3 = Find m 2 = 3. What are the missing measures in Parallelogram SRQP? m 9 = 66 m 2 = 14 m 1 = 16 m 6 = m 10 = m 11 = m 3 = P 2 1 Q T S 5 6 R 4. Form a quadrilateral through transformations.

5 a) Make a quadrilateral by rotating RST 180 about U. b) Make a quadrilateral by rotating RST 180 about V. S S U o V U o V x R What type of quadrilateral is formed? T x R T What type of quadrilateral is formed? What did you see in the shape to conclude the type of quadrilateral? What did you see in the shape to conclude the type of quadrilateral? 5. Solve for the missing information. a) Parallelogram Y = 1x + 10 and Y = 3x + 2 x = m = 83, m = 33, m = Y b) Parallelogram m Y = 107, m = 43, m = 80 m = m = Y c) Rectangle NOPQ m PNO = 25 N O m QNO = m QNP = m NPQ = m NPO = Q Z P d) Rectangle NOPQ NZ = 3x + 6 QO = 10x 8 N O x = QO = Q Z P

6 e) Rhombus EFGH m XFG = 55 F G m XFE = m FEH = m EHG= m FXG = E X H f) Rhombus EFGH FX = 3 cm XG = 4 cm F G FG = cm E X H g) Square MJKL J K m MJL = m KGL = G M L 6. s shown in the diagram of rectangle below, diagonals and intersect at E. If and, then find the length of. 7. In the diagram below of rhombus, the diagonals and intersect at E. If and, what is the length of one side of rhombus?

7 2. Prove: 8. In the diagram below, quadrilateral STR is a rhombus with diagonals and intersecting at E.,,,,,, and. Find SR, RT, and. PROOFS 1. Given: Parallelogram EFG, K and H are points on such that and and are drawn.

8 2. Given: Rectangle, F E Prove: F E 3. Given: Parallelogram FLSH, LG FS, H FS Prove: FLG SH