Transformations of Shapes: Eduqas GCSE Higher June 2023 Paper 1 Q14

Higher June 2023 Paper 1 Q14

EduqasHigherCurrent spec5 marksTransformations of Shapes

14.

(a)

Coordinate grid from −8 to 10 on both axes with rectangle A with vertices (3, 6), (9, 6), (9, 9) and (3, 9)

Draw the enlargement of rectangle A with scale factor \(\dfrac{1}{3}\) and centre (0, 0). [2]

(b)

Coordinate grid from −8 to 8 on both axes with triangle P with vertices (2, 4), (4, 4) and (2, 8)

Triangle P is reflected in the line \(y = x\).
The image is triangle Q.

Triangle Q is reflected in the line \(y = -x\).
The image is triangle R.

Describe a single transformation that maps triangle P to triangle R. [3]

Mark scheme (a)

Scheme	Marks	Comments
Correct rectangle with vertices (1, 3), (1, 2), (3, 2), (3, 3)	B2	B1 for one of the following: at least 3 vertices correct, a correct enlargement of scale factor \(-\tfrac{1}{3}\).

Mark scheme (b)

Scheme	Marks	Comments
Rotation 180° about (0, 0) OR enlargement scale factor −1 centre (0, 0)	B3	If correct triangle seen, then award B1 for each component. Rotation may be clockwise or anticlockwise. If no marks, award SC1 for triangle drawn at (−2, −4), (−4, −4), (−2, −8) or these coordinates seen.
	(5)