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Grade 8: Quadrilaterals, polyhedra and transformations

10 questions with solutions for grade 8: parallelograms, rectangles, rhombi, squares, trapezia, kites, polyhedra, Euler’s formula, combining transformations.

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

1. One angle of a parallelogram is 70°. What is the opposite angle?

2. What is special about the diagonals of a rectangle?

3. Which quadrilateral has equal, perpendicular diagonals?

4. In a trapezium, how many degrees do the two angles along one leg add up to?

5. How many pairs of equal adjacent sides does a kite have?

6. For a cube, what is V − E + F (vertices − edges + faces)?

7. How many faces does a regular octahedron have?

8. A polyhedron has 12 vertices and 30 edges. How many faces does it have?

9. Is a sphere a polyhedron?

10. A shape is reflected in a line and then reflected again in the same line. What do you get?