The figure shows part of a trapezium. The dotted line is the line of symmetry.

(a)
Draw on the square grid to complete trapezium ABCD. Use a pencil to draw your diagram and label it clearly.
(b)
What is the area of the trapezium?

Classifying quadrilaterals Properties and criteria of parallelograms 中文

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Worked solution

5(a)

1. Identify the line of symmetry and the given vertices.

The dotted line is the line of symmetry. Vertices A and B are given on one side of the line.

2. Reflect vertex A across the line of symmetry to find vertex D.

Count the perpendicular grid distance from A to the dotted line. Move the same distance on the opposite side of the line to plot vertex D.

3. Reflect vertex B across the line of symmetry to find vertex C.

Count the perpendicular grid distance from B to the dotted line. Move the same distance on the opposite side of the line to plot vertex C.

4. Complete the trapezium by connecting the vertices.

Draw straight lines connecting A to B, B to C, C to D, and D to A (or connecting the reflected points to the points on the symmetry line) to form the complete trapezium ABCD.

Answer

(A completed trapezium ABCD drawn on the grid, with vertices C and D located by reflecting A and B across the dotted line of symmetry.)

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The figure shows part of a trapezium. The dotted line is the line of symmetry.

Worked solution

5(a)

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