Questions: Transformations, congruence and similarity
Pick a question type. Each time you get new numbers. Free ones are marked free.
Translations and reflections
- Translate a point by a column vectorWrite down, 2 marks, free
- The vector of a translation on a gridWrite down, 2 marks, free
- Find the point before a translationWork out, 2 marks, free
- Reflect a point in x = a or y = bWrite down, 2 marks, free
- Reflect a point in y = x or y = −xWrite down, 2 marks, free
- Reflect a shape drawn on a gridWork out, 2 marks, free
- Describe a reflection fullyChoose, 2 marks, free
- Find the mirror line from a point and its imageFind, 4 marks, free
- Column vectors and directionsChoose, 2 marks, free
- Two moves in a game, and the way backWork out, 5 marks, free
Rotations and enlargements
- Rotate a point about the originWrite down, 2 marks, free
- Rotate a point about a centre that is not the originWork out, 4 marks, free
- Rotate a shape drawn on a gridWork out, 2 marks, free
- Describe a rotation: angle, direction and centreWork out, 3 marks, free
- Enlarge a point from a centreWork out, 2 marks, free
- Enlarge a rectangle: new lengths and perimeterWork out, 4 marks, free
- Find the scale factor and centre of an enlargementWork out, 3 marks, free
- Scale factor from matching lengthsWork out, 4 marks, free
- What a full description needsChoose, 1 mark, free
Combined transformations and negative scale factors
- Two transformations of a point, one after the otherWork out, 4 marks, Plus
- One transformation that does the work of twoChoose, 2 marks, Plus
- Which point is invariant?Choose, 1 mark, Plus
- Use an invariant point to find an unknownFind, 2 marks, Plus
- Enlarge a point by a negative scale factor (H)Work out, 2 marks, Plus, Higher tier
- Describe an enlargement with a negative scale factor (H)Work out, 3 marks, Plus, Higher tier
- What a negative scale factor does (H)Choose, 1 mark, Plus, Higher tier
- Does the order of two transformations matter?Work out, 4 marks, Plus
- Two transformations of a shape on a gridWork out, 4 marks, Plus
Congruent triangles
- Which condition shows two triangles are congruent?Choose, 1 mark, Plus
- Congruent, or not necessarily?Choose, 1 mark, Plus
- Missing side and angle in congruent trianglesWork out, 3 marks, Plus
- Right-angled triangles: RHS and the third sideWork out, 3 marks, Plus
- Prove that two triangles are congruentProve, 3 marks, Plus
- Congruent triangles with algebraic sidesWork out, 4 marks, Plus
- Is the image congruent?Choose, 1 mark, Plus
- Which two triangles are congruent?Choose, 2 marks, Plus
Similar shapes and solids
- Missing sides in similar trianglesWork out, 4 marks, Plus
- Similar triangles with a parallel lineWork out, 4 marks, Plus
- Are two rectangles similar?Work out, 3 marks, Plus
- Area of a similar shape (H)Work out, 2 marks, Plus, Higher tier
- Volume of a similar solid (H)Work out, 2 marks, Plus, Higher tier
- A length from the areas of similar shapes (H)Work out, 3 marks, Plus, Higher tier
- Surface area from the volumes of similar solids (H)Work out, 4 marks, Plus, Higher tier
- Shapes that are always similarChoose, 1 mark, Plus
- Similar triangles in contextWork out, 2 marks, Plus
- Angles and sides of similar trianglesWork out, 3 marks, Plus
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