Geometry A polygon is a many sided closed shape. Four sided polygons are called quadrilaterals. Sum of angles in a quadrilateral equals 360. Parallelogram is a quadrilateral where opposite sides are parallel. Rectangle is a parallelogram with all angles = 90 and its opposite sides are parallel and equal. Rhombus is a parallelogram with all sides equal. Square is a parallelogram with all sides equal and all angles = 90. It is a regular quadrilateral. Trapezium is quadrilateral with no parallel sides. Trapezoid is a quadrilateral with only one pair of opposite sides to be parallel. Select the correct option for each question: 1. What is the name of this quadrilateral? a) Rhombus b) Square c) Trapezium d) Rectangle 2. Is this shape also a parallelogram? Page 1 of 8
a) Yes b) No c) Cannot say 3. The sum of angles in a parallelogram is. a) 200 b) 180 c) 225 d) 360 4. What is the name of the adjoining quadrilateral? a) Rhombus b) Square c) Trapezium d) Trapezoid 5. How many parallel sides does the above quadrilateral have? a) 2 b) 3 c) None d) 4 6. Which is the only regular quadrilateral? a) Rhombus b) Square c) Trapezium d) Trapezoid 7. Which of the following statements is false? a) A rhombus is also a parallelogram. b) A rectangle is also a parallelogram. c) A trapezoid is also a parallelogram. d) A square is also a rhombus. Page 2 of 8
8. A quadrilateral has sides and angles. a) 3, 3 b) 4, 3 c) 4, 4 d) 3, 4 9. Every angle of a measures 90. a) rhombus b) square c) trapezium d) parallelogram 10. A rectangle with two equal adjacent sides is a a) parallelogram b) square c) trapezium d) rectangle 11. A kite is one type of a parallelogram. a) True b) False c) Insufficient data 12. A rhombus with right angles is a a) rectangle b) trapezium c) square d) triangle 13. A is a kite. a) rectangle b) trapezium c) trapezoid d) rhombus 14. A line segment drawn from one vertex of a quadrilateral to the opposite vertex is called a of the quadrilateral. a) diagonal b) side c) perpendicular d) bisector Page 3 of 8
15. Natalie walks for 10 meters, she then turns right and walks another 8 meters. She again turns right and walks 10 meters before turning right again to walk the last 8 meters. Which shape has Natalie walked around? a) Rectangle b) Trapezium c) Square d) Rhombus 16. Which quadrilateral has all sides equal? a) Rectangle b) Trapezium c) Kite d) Rhombus 17. Opposite angles of a rhombus a) have a sum of 100 b) are equal c) have a sum of 360 d) measure 60 18. What can we say about the 2 diagonals of a rhombus? a) They are equal. b) They are parallel. c) They cut each other into half. d) They meet to form a 60 angle. 19. How many quadrilaterals are there in this figure? Page 4 of 8
a) 6 b) 8 c) 10 d) 12 20. Diagonals of a rhombus meet to form an angle measuring a) 180 b) 360 c) 90 d) 100 21. In which quadrilateral do the diagonals have the same measure? a) square b) trapezoid c) rhombus d) parallelogram 22. If the sum of 3 angles of a trapezoid is 309, then what is the measure of the 4 th angle? a) 43 b) 61 c) 51 d) 60 23. Fill in the empty boxes correctly with a Yes or No. Condition Parallelogram Square Rhombus Rectangle Diagonals divide opposite angles a) Yes, Yes, Yes, Yes b) Yes, Yes, No, Yes c) Yes, Yes, No, Yes d) No, Yes, No, Yes 24. Name this quadrilateral. a) Rectangle b) Trapezium c) Trapezoid d) Rhombus Page 5 of 8
25. Find the value of b. a) 43 b) 64 c) 56 d) 76 26. Name the quadrilateral which is formed by 4 sticks of equal length. a) rectangle b) trapezium c) trapezoid d) rhombus 27.Which statement is false about this shape? a) Only one pair of opposite angles is equal. b) Both pairs of opposite angles are equal. c) Opposite sides are parallel. d) Sum of angles is 360. 28. Find the value of b in the adjoining diagram (in Q27). a) 50 b) 130 c) 180 d) 80 29. Which of these does not have a quadrilateral? a) book b) computer screen c) triangular prism d) door Page 6 of 8
30. Which shape cannot be seen in this diagram? a) Trapezoid b) Rectangle c) Square d) Rhombus Page 7 of 8
Answer Key 1. (a) 2. (a) 3. (d) 4. (c) 5. (a) 6. (b) 7. (c) 8. (c) 9. (b) 10. (b) 11. (b) 12. (c) 13. (d) 14. (a) 15. (a) 16. (d) 17. (b) 18. (c) 19. (c) 20. (c) 21. (a) 22. (c) 23. (a) 24. (b) 25. (d) 26. (d) 27. (a) 28. (b) 29. (c) 30. (d) Page 8 of 8