1. Define parallel lines.
2. Draw two parallel lines cut by a transversal. Name all pairs of corresponding angles.
3. Name the alternate interior angles formed when a transversal cuts parallel lines.
4. If two parallel lines are cut by a transversal, what can you say about corresponding angles?
5. If two parallel lines are cut by a transversal, what can you say about alternate interior angles?
6. If ∠1 = 70°, find its corresponding angle.
7. If ∠A = 55°, find the alternate interior angle.
8. If ∠P = 120°, find the co-interior angle.
9. If one of the angles is 110°, find its vertically opposite angle.
10. If a transversal cuts two parallel lines and one angle is 75°, find all other angles.
11. If a transversal makes an angle of 65° with one line, find its alternate angle.
12. If ∠x and ∠y are co-interior angles, what is their sum?
13. If ∠a = 80°, find the corresponding angle.
14. Find the value of x if one angle is (2x + 10)° and its corresponding angle is 70°.
15. If ∠1 = (3x – 15)° and ∠2 = (2x + 5)°, and they are vertically opposite angles, find x.
16. State the condition for a transversal to prove two lines parallel.
17. Which axiom states that “if a transversal makes equal corresponding angles, then lines are parallel”?
18. If ∠Q = (x + 20)° and ∠R = (2x – 10)°, and they are alternate angles, find x.
19. Write the relation between sum of angles on the same side of a transversal.
20. Draw a diagram of parallel lines and mark all angle pairs.

21. Define a triangle.
22. Name the three types of triangles on the basis of sides.
23. Name the three types of triangles on the basis of angles.
24. In a triangle, if two sides are equal, what is it called?
25. In a triangle, if all three angles are less than 90°, what is it called?
26. State the Triangle Angle-Sum Property.
27. In a triangle, if two angles are 65° and 55°, find the third angle.
28. In a triangle, if two angles are equal, what can you say about their opposite sides?
29. If one angle of a triangle is 90°, name the triangle.
30. Find the third angle of a triangle if two angles are 45° and 75°.
31. If the angles of a triangle are 40°, 60°, 80°, name the triangle.
32. If all angles of a triangle are 60°, what is the triangle called?
33. In ΔABC, ∠A = 50°, ∠B = 60°, find ∠C.
34. Draw a right-angled isosceles triangle.
35. In ΔXYZ, ∠X = 70°, ∠Y = 50°, find ∠Z.
36. If ΔABC has two equal sides, which angles are equal?
37. Draw and label an equilateral triangle.
38. Can a triangle have more than one right angle? Why/Why not?
39. Can a triangle have more than one obtuse angle? Why/Why not?
40. Prove: The sum of the angles of a triangle is 180°.

41. Define congruent triangles.
42. Write the four conditions of triangle congruency.
43. State SAS congruency.
44. State ASA congruency.
45. State SSS congruency.
46. State RHS congruency.
47. If ΔABC ≅ ΔDEF, write the corresponding sides.
48. If ΔABC ≅ ΔDEF, write the corresponding angles.
49. Which congruency criterion will you use if two sides and included angle are known?
50. Which criterion applies when three sides are known?
51. Which criterion applies when two angles and included side are known?
52. Which criterion applies for right-angled triangles?
53. In ΔABC, AB = DE, AC = DF, ∠A = ∠D. Which criterion proves ΔABC ≅ ΔDEF?
54. Give one example of congruent objects in daily life.
55. If ΔXYZ ≅ ΔPQR, and XY = 5 cm, PQ = 5 cm, write another pair of equal sides.

56. Define a polygon.
57. Write the names of polygons with 3, 4, 5, 6, 7, and 8 sides.
58. How many diagonals does a quadrilateral have?
59. How many diagonals does a hexagon have?
60. Formula for number of diagonals in an n-sided polygon.
61. Find the number of diagonals in a pentagon.
62. Find the number of diagonals in an octagon.
63. Find the sum of interior angles of a quadrilateral.
64. Find the sum of interior angles of a pentagon.
65. Find the sum of interior angles of a hexagon.
66. Find the sum of interior angles of a decagon.
67. State the formula for the sum of interior angles of an n-sided polygon.
68. Find each interior angle of a regular hexagon.
69. Find each exterior angle of a regular octagon.
70. Find each interior angle of a regular decagon.

71. Define a circle.
72. Define radius of a circle.
73. Define diameter of a circle.
74. Define chord of a circle.
75. Define arc of a circle.
76. Define sector of a circle.
77. Define segment of a circle.
78. Define tangent of a circle.
79. If the radius of a circle is 7 cm, find its diameter.
80. If the diameter of a circle is 14 cm, find its radius.
81. If the radius is 10 cm, find the circumference (π = 3.14).
82. If the diameter is 20 cm, find the circumference.
83. Find the area of a circle with radius 7 cm.
84. Find the area of a circle with diameter 14 cm.
85. If the radius of a wheel is 35 cm, find its circumference.

86. Define a quadrilateral.
87. Name the different types of quadrilaterals.
88. Write two properties of a parallelogram.
89. Write two properties of a rectangle.
90. Write two properties of a square.
91. Write two properties of a rhombus.
92. Write two properties of a trapezium.
93. State the sum of the angles of a quadrilateral.
94. Find the missing angle if the three angles of a quadrilateral are 90°, 85°, and 95°.
95. Draw a parallelogram and mark its diagonals.
96. Draw a rhombus and mark equal sides.
97. Draw a square and mark equal diagonals.
98. If one angle of a rectangle is 90°, what are the other angles?
99. If diagonals of a quadrilateral bisect each other, what is the quadrilateral called?
100. Prove that the sum of the angles of a quadrilateral is 360°.