Here are two identical tiles. (a) Sketch two quadrilaterals that can be made by joining the tiles. Write the mathematical name of each quadrilateral. Quadrilateral 1: Quadrilateral 2: Name : Name : (b) The two tiles can also be joined to make two triangles. Work out the interior angles of each triangle. Triangle 1: Triangle 2:

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Here are two identical tiles - OCR - GCSE Maths - Question 10 - 2018 - Paper 1

Question 10

Here are two identical tiles. (a) Sketch two quadrilaterals that can be made by joining the tiles. Write the mathematical name of each quadrilateral. Quadrilateral... show full transcript

Worked Solution & Example Answer:Here are two identical tiles - OCR - GCSE Maths - Question 10 - 2018 - Paper 1

Step 1

Sketch two quadrilaterals

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Answer

Quadrilateral 1: Rectangle
- To form a rectangle, join two tiles along their longest sides, which would give a shape with four right angles.
Quadrilateral 2: Parallelogram
- To form a parallelogram, join two tiles along the shorter sides, creating opposite angles that are equal.

Step 2

Work out the interior angles of each triangle

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Answer

Triangle 1: The angles are 60°, 30°, and the third angle can be calculated as: $180° - (60° + 30°) = 90°$
- Interior Angles: 30°, 60°, 90°
Triangle 2: Similar angles can be calculated as:
- Interior Angles: 60°, 60°, 60° (equilateral triangle, since it maintains the same angle properties when combined).

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