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Shapes: Triangles and Quadrilaterals
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Shapes: Triangles and Quadrilaterals
Choose the best answer for each multiple-choice question. Show your working where requested. Use a ruler for your drawing.
Classifying Shapes
1.A triangle has side lengths 6 cm, 6 cm and 9 cm. How is it classified by its sides?
- Equilateral
- Isosceles
- Scalene
- Right-angled
2.A triangle has angles of 90°, 30° and 60°. Which description fits it?
- Acute scalene triangle
- Isosceles right triangle
- Right-angled scalene triangle
- Obtuse isosceles triangle
3.Which quadrilateral has exactly one pair of opposite sides parallel?
- Parallelogram
- Trapezium
- Rectangle
- Rhombus
4.Which quadrilateral has four equal sides and four right angles?
- Square
- Rhombus
- Rectangle
- Kite
Work It Out
5.Two angles in a triangle are 48° and 67°. Calculate the size of the third angle.
6.A triangle has a perimeter of 62 cm. Two of its sides are 18 cm and 27 cm. Find the length of its third side.
7.A rectangular patio is 9 m long and 4 m wide. Work out its area in square metres. Show your calculation.
8.A triangle has angles of 52° and 52°. What is the size of the third angle, and what can you conclude about the triangle’s sides?
Quadrilateral Properties
9.Match each quadrilateral to its defining property.
- Parallelogram
- Trapezium
- Rhombus
- Kite
- Rectangle
- Exactly one pair of opposite sides is parallel
- Two pairs of adjacent sides are equal
- All four sides are equal
- Four right angles; opposite sides are equal
- Both pairs of opposite sides are parallel
10.Draw a kite that is not a rhombus. Mark the equal sides with matching marks, then write two properties of your kite.
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