7.1

Transformations

9 flashcards to master Transformations

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Key Concept Flip

What single transformation maps object A onto image B, given that A and B are congruent?

Answer Flip

A single transformation will map one congruent shape to another if it is a translation, reflection, or rotation. Consider the orientation and position to determine the correct transformation.

Definition Flip

Answer Flip

Key Concept Flip

A shape is reflected in the line y = x. What are the coordinates of the image point of (2, 5)?

Answer Flip

When reflecting in the line y = x, the x and y coordinates are swapped. Therefore, the image of (2, 5) is (5, 2).

Definition Flip

Define 'enlargement' and explain what two pieces of information are needed to fully describe an enlargement.

Answer Flip

An enlargement changes the size of an object by a scale factor. To describe it fully, you need to state the scale factor and the centre of enlargement.

Key Concept Flip

Object A is enlarged with a scale factor of 2, centre (0,0), to create image B. If point P on A is (1,3), what are the coordinates of the corresponding point P' on B?

Answer Flip

Multiply the coordinates of the original point by the scale factor. P'(2*1, 2*3) = P'(2, 6).

Definition Flip

What does it mean for two shapes to be 'congruent'?

Answer Flip

Congruent shapes are identical; they have the same size and shape. One can be mapped onto the other by a translation, rotation, or reflection.

Definition Flip

What does it mean for two shapes to be 'similar'?

Answer Flip

Similar shapes have the same shape but can be different sizes. One can be mapped onto the other by an enlargement (or reduction) along with a possible translation, rotation, or reflection.

Key Concept Flip

Describe a rotation of 90° clockwise about the origin.

Answer Flip

A rotation requires three pieces of information: the angle of rotation (90°), the direction of rotation (clockwise), and the centre of rotation (the origin).

Key Concept Flip

Shape A is reflected in the line x = 1 to create shape B. Shape B is then reflected in the line x = 3 to create shape C. Describe the single transformation that maps A onto C.

Answer Flip

Two successive reflections in parallel lines is equivalent to a translation. The distance moved will be twice the distance between the parallel mirror lines. So this is a translation of (4,0).

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6.4 Trigonometric graphs 7.2 Vectors

Key Questions: Transformations

Define 'enlargement' and explain what two pieces of information are needed to fully describe an enlargement.

An enlargement changes the size of an object by a scale factor. To describe it fully, you need to state the scale factor and the centre of enlargement.

What does it mean for two shapes to be 'congruent'?

Congruent shapes are identical; they have the same size and shape. One can be mapped onto the other by a translation, rotation, or reflection.

What does it mean for two shapes to be 'similar'?

Similar shapes have the same shape but can be different sizes. One can be mapped onto the other by an enlargement (or reduction) along with a possible translation, rotation, or reflection.

About Transformations (7.1)

These 9 flashcards cover everything you need to know about Transformations for your Cambridge IGCSE Mathematics (0580) exam. Each card is designed based on the official syllabus requirements.

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