Quiz

Cambridge Mathematics 9: Shapes and geometric reasoning

10 questions with solutions on the Cambridge Mathematics 9 topic: interior and exterior angles of polygons, regular polygons, angles and parallel lines, congruence.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. What is the sum of the interior angles of a hexagon, in degrees?Enter a number only

2. How many degrees is each interior angle of a regular octagon?Enter a number only

3. How many degrees is each exterior angle of a regular pentagon?Enter a number only

4. The exterior angle of a regular polygon is 30°. How many sides does it have?Enter a number only

5. The interior angle of a regular polygon is 140°. How many sides does it have?Enter a number only

6. Two angles of a triangle are 48° and 67°. How many degrees is the third angle?Enter a number only

7. Three angles of a quadrilateral are 90°, 85° and 110°. How many degrees is the fourth?Enter a number only

8. Two parallel lines are cut by a transversal. One angle is 65°. What is the alternate angle?Enter a number only

9. On the same parallel lines, what is the co-interior angle to the 65° angle?Enter a number only

10. Which condition does NOT guarantee that two triangles are congruent?

A. three equal angles (AAA)

B. three equal sides (SSS)

C. two sides and the angle between them (SAS)

D. two angles and the side between them (ASA)